Guide to Quantum Mechanics
Multimedia Resources
Probabilistic analysis of classical systems; Classical versus quantum
behaviour
Particle in a Box - Classical versus Quantum system:
http://webphysics.davidson.edu/qmbook/classical/cl_qm_infinite.html
Gaussian wave packet in a Box - Classical versus Quantum system:
http://webphysics.davidson.edu/qmbook/classical/position_gaussian_well.html
Gaussian wave packet in a harmonic oscillator potential - Classical versus
Quantum system:
http://webphysics.davidson.edu/qmbook/classical/position_gaussian_sho.html
Classical versus quantum mechanics – Exercises and Illustrations:
http://webphysics.davidson.edu/physlet_resources/quantum/classical/default.html
Wave packet bouncing on a hard surface under the influence of gravity:
http://www.uark.edu/misc/julio/bouncing_ball/bouncing_ball.html
Classical Probability Density of a mass-spring system:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=34
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=40
The Photoelectric effect
http://www.opensourcephysics.org/items/detail.cfm?ID=10272
http://phet.colorado.edu/en/simulation/photoelectric
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=23
Wave function and probability density
Wave function and probability density:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/probillustrator.html
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Probability current
Probability density and probability current
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=20
Free quantum particle
Properties of the free particle - Exercises and Illustrations
http://webphysics.davidson.edu/physlet_resources/quantum/free_particle/default.html
Time evolution of a superposition of free particle energy eigenstates. A
table shows the energy, momentum, and amplitude of each eigenstates.
http://www.opensourcephysics.org/items/detail.cfm?ID=8108
Time evolution of a free (V = 0 everywhere) initial Gaussian wave packet in
position and momentum space:
http://www.opensourcephysics.org/items/detail.cfm?ID=6989
Free Gaussian wave packet:
http://www.opensourcephysics.org/items/detail.cfm?ID=10271
Time-development of a free-particle Gaussian Wave Packet:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=1
Free-particle wave packet and Heisenberg Uncertainty Principle:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=10
Free-particle wave packet and Heisenberg Uncertainty Principle:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=10
Wave packets
Properties of the free particle - Exercises and Illustrations
http://webphysics.davidson.edu/physlet_resources/quantum/free_particle/default.html
Time evolution of a free (V = 0 everywhere) initial Gaussian wave packet in
position and momentum space:
http://www.opensourcephysics.org/items/detail.cfm?ID=6989
Free Gaussian wave packet:
http://www.opensourcephysics.org/items/detail.cfm?ID=10271
Time-development of a free-particle Gaussian Wave Packet:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=1
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Wave packet explorer:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/wpe.html
Gaussian wave packet incident on a step or a barrier of potential:
http://www.quantum-physics.polytechnique.fr/en/step.html
Gaussian wave packet incident on a potential step:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=33
Time evolution of a two-dimensional wave packet as it moves towards a slit
with an obstacle in it:
http://www.opensourcephysics.org/items/detail.cfm?ID=10273
Wave packet bouncing on a hard surface under the influence of gravity:
http://www.uark.edu/misc/julio/bouncing_ball/bouncing_ball.html
Bouncing Wave Packet:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=9
Free-particle wave packet and Heisenberg Uncertainty Principle:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=10
Time evolution and momentum expectation value for a Gaussian wave
packet in a harmonic potential. Other states and potentials can be specified.
http://www.opensourcephysics.org/items/detail.cfm?ID=6809
Gaussian wave packet in a simple harmonic Oscillator potential:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=22
Wave Packet Revivals:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=43
Quantum noise of different freely propagating light waves and the
corresponding moving wave packet in the harmonic potential:
http://gerdbreitenbach.de/gallery/
Fourier Transforms
Fourier transform of a user-defined complex spatial function of position:
http://www.opensourcephysics.org/items/detail.cfm?ID=7063
Fourier transform of a user-defined complex spatial function of position
and time:
http://www.opensourcephysics.org/items/detail.cfm?ID=7064
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Evolution of a Gaussian wave function and its Fourier Transform
http://webphysics.davidson.edu/qmbook/free_particle/demo_fft1.html
Evolution of a square wave function and its Fourier Transform
http://webphysics.davidson.edu/qmbook/free_particle/demo_fft2.html
Momentum probability densities
Time evolution of the wave function and the momentum probability
density. Self-contained interactive learning package.
http://www.opensourcephysics.org/items/detail.cfm?ID=7336
Momentum Probability Densities of energy eigenstates in the 1D infinite
well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=5
Momentum probability density of a superposition state in the 1D infinite
well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=14
Momentum probability density of a Gaussian wave packet in a simple
harmonic Oscillator potential:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=22
Momentum probability densities for the energy eigenstates of the 2D
infinite square well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=49
Uncertainty Principle
Illustration of the uncertainly principle for momentum and position:
http://www.7stones.com/Homepage/Publisher/QMuncert.html
Wave Packets and the Heisenberg Uncertainty Principle:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=10
The 1D Infinite Square Well
Energy levels and wave functions:
http://webphysics.davidson.edu/physletprob/ch10_modern/default.html
Time evolution of the position expectation value for the superposition of
two states in the infinite square well. Other potentials can be specified:
http://www.opensourcephysics.org/items/detail.cfm?ID=6807
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Time evolution of the n = 5 state in a ramped infinite square well.
Additional states and other potential energy functions can be specified
using the Display | Switch GUI menu item:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=6799&DocID=288
Time dependence of a variety of superpositions of energy eigenfunctions
for the infinite square well and harmonic oscillator potentials:
http://www.opensourcephysics.org/items/detail.cfm?ID=8195
Expectation values for a particle in a 1D box. Interactive problems:
http://webphysics.davidson.edu/physlet_resources/quantum/expectation/default.html
Time-independent superposition of states:
http://webphysics.davidson.edu/qmbook/superposition/demo_superposition.html
Time-dependent superposition of states:
http://webphysics.davidson.edu/qmbook/time_evolutionA/superposition_hup.html
Time evolution of a superposition wave function. Interactive exercises:
http://webphysics.davidson.edu/physlet_resources/quantum/time_evolutionA/default.html
http://webphysics.davidson.edu/physlet_resources/quantum/time_evolutionB/default.html
Time-dependent Superposition and Expectation Values:
http://webphysics.davidson.edu/physlet_resources/quantum/time_evolutionB/superposition_hup.h
tml
Expansion in eigenstates:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=28
Superposition of states:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=24
1D Superposition of States
Two-state superposition of harmonic oscillator states. Additional states
and other potential energy functions can be specified:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=6798&DocID=287
Time evolution of the position expectation value for the superposition of
two states in the infinite square well. Other potentials can be specified:
http://www.opensourcephysics.org/items/detail.cfm?ID=6807
The Phase Matters Package:
http://www.opensourcephysics.org/items/detail.cfm?ID=7334
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Time evolution and visualization of energy eigenstates and their
superposition:
http://www.opensourcephysics.org/items/detail.cfm?ID=7295
Time evolution and visualization of energy eigenstates and their
superposition via momentum space:
http://www.opensourcephysics.org/items/detail.cfm?ID=7304
Time dependence of a variety of superpositions of energy eigenfunctions
for the infinite square well and harmonic oscillator potentials:
http://www.opensourcephysics.org/items/detail.cfm?ID=8195
Time evolution on quantum-mechanical bound states using a Reduced
Hilbert approach:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=6475&DocID=273
Quantum Mechanics Projection program: Time evolution of the positionspace wave function calculated by projecting an initial wave function into
the known Hilbert space of energy eigenfunctions, determining expansion
coefficients, and then calculating the energy eigenfunction superposition:
http://www.opensourcephysics.org/items/detail.cfm?ID=7010
Superposition of states for a particle in a 1D box. Interactive exercises:
http://webphysics.davidson.edu/physlet_resources/quantum/superposition/default.html
Quantum superposition in one dimension:
http://www.quantum-physics.polytechnique.fr/en/pages/p03t.html
Fourier waves:
http://phet.colorado.edu/en/simulation/fourier
Time evolution of the wave function and the momentum probability
density. Self-contained interactive learning package.
http://www.opensourcephysics.org/items/detail.cfm?ID=7336
Quasi-probability distribution
Wigner quasi-probability distribution for position and momentum:
http://www.opensourcephysics.org/items/detail.cfm?ID=7302
Time evolution of the position-space wave function and the associated
quasi-probability distribution in phase space via the Wigner function:
http://www.opensourcephysics.org/items/detail.cfm?ID=6813
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
The Finite Well
1D finite square well and periodic square wells. Interactive exercises:
http://webphysics.davidson.edu/physlet_resources/quantum/finite/default.html
Energy levels and wave functions:
http://webphysics.davidson.edu/physletprob/ch10_modern/default.html
Comparison of Infinite and Finite Well energy eigenstates:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=18
Determination of the Finite Well energy eigenvalues:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=19
Other 1D potentials
Time evolution of the position expectation value for the superposition of
two states in the infinite square well. Other potentials can be specified:
http://www.opensourcephysics.org/items/detail.cfm?ID=6807
Eigenstate superposition model:
http://www.opensourcephysics.org/items/detail.cfm?ID=7945
Energy eigenvalues and eigenfunctions for a particle confined to a potential
well with hard walls at -a/2 and a/2 and a smooth potential energy function
between these walls:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=11612&DocID=2509
Time evolution of probability density for a particle confined to a ring
http://www.physics.oregonstate.edu/portfolioswiki/doku.php?id=activities:main&file=cfqmring
Wave function shapes and probability density for a variety of potentials:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=28
The 1D Harmonic Oscillator
Simple Harmonic Oscillator eigenvalues:
http://webphysics.davidson.edu/Applets/Eigenvalue4/SHO.html
Comparisons of the classical and quantum Simple Harmonic Oscillator:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=4
Simple harmonic oscillator: probability distributions for kinetic and
potential energy:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=6
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Time dependence of a variety of superpositions of energy eigenfunctions
for the infinite square well and harmonic oscillator potentials:
http://www.opensourcephysics.org/items/detail.cfm?ID=8195
Solution to the time-independent Schrödinger equation determined via the
shooting method:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=6987&DocID=336
Gaussian wave packet in a Harmonic Oscillator potential:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=22
Comparison of harmonic oscillator and Half Harmonic Oscillator
eigenstates:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=27
Bound states in other 1D potentials
Kronig-Penney Model: All Energies:
http://webphysics.davidson.edu/physlet_resources/quantum/finite/demo_periodic1.html
http://webphysics.davidson.edu/physlet_resources/quantum/finite/demo_periodic2.html
Single particle in bound states in one dimension:
http://www.falstad.com/qm1d/
Energy bands in a 1D periodic potential (1D quantum crystal):
http://www.falstad.com/qm1dcrystal/
Quantum bound states in potential wells:
http://phet.colorado.edu/en/simulation/bound-states
Symmetry of the potential well and wave function:
http://webphysics.davidson.edu/qmbook/wave_functions/demo_gravity_abs.html
Asymmetric infinite square well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=8
Comparison of harmonic oscillator and Half Harmonic Oscillator
eigenstates:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=27
Time-independent perturbation theory
Symmetric Perturbation in an infinite well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=12
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Asymmetric Perturbation in an infinite well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=13
Degenerate Perturbation Theory:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=25
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=26
The sudden approximation
Expanding Infinite Well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=35
The Dissolving 1D infinite square well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=37
Tritium Decay:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=38
Measurement and wave function collapse
Quantum-mechanical measurement of momentum. The default wave
function is an equal-mix four-state superposition in the infinite square
well:
http://www.opensourcephysics.org/items/detail.cfm?ID=6822
Quantum-mechanical measurement of position. The default wave function
is an equal-mix four-state superposition in the infinite square well:
http://www.opensourcephysics.org/items/detail.cfm?ID=6821
Quantum-mechanical measurement of energy. The default wave function is
an equal-mix four-state superposition in the infinite square well:
http://www.opensourcephysics.org/items/detail.cfm?ID=6815
Quantum-mechanical measurements of energy, position, and/or
momentum:
http://www.opensourcephysics.org/items/detail.cfm?ID=6814
Measurement of energy, position and momentum:
http://www.opensourcephysics.org/items/detail.cfm?ID=9773
The double slit experiment and the collapse of the wave function:
http://www.fen.bilkent.edu.tr/~yalabik/applets/collapse.html
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Successive energy measurements:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=7
Quantum wave interference
Fraunhofer diffraction through single or multiple slits:
http://www.opensourcephysics.org/items/detail.cfm?ID=8331
Double slit, builds up interference pattern on the detector screen:
http://www.opensourcephysics.org/document/ServeFile.cfm?ID=11546&DocID=2469
Single slit diffraction with various particles:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/singleslit.html
Double slit diffraction with various particles:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/doubleslit/index.html
Interference of two wave sources:
http://perg.phys.ksu.edu/vqmorig/programs/java/makewave/index.html
Simulation of the double slit experiment with particles:
http://www.ianford.com/dslit/
http://www.quantum-physics.polytechnique.fr/en/pages/p01t.html
Single slit diffraction:
http://www.physics.uoguelph.ca/applets/Intro_physics/kisalev/java/slitdiffr/index.html
The double slit experiment and the collapse of the wave function:
http://www.fen.bilkent.edu.tr/~yalabik/applets/collapse.html
Double slit, wave-particle duality and measurement:
http://phet.colorado.edu/en/simulation/quantum-wave-interference
Quantum bomb detection (Mach-Zehnder Interferometer):
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=39
Electron diffraction
Davisson-Germer experiment:
http://phet.colorado.edu/en/simulation/davisson-germer
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Quantum Transitions
Radiative transitions in one dimension (infinite well, double well and H.O.):
http://www.falstad.com/qm1drad/
Atomic dipole transitions:
http://www.falstad.com/qmatomrad/
One-dimensional scattering
Time evolution of a plane wave incident on a Dirac delta function barrier:
http://www.opensourcephysics.org/items/detail.cfm?ID=6990
Quantum mechanical experiment in which an incident wave (particle)
traveling from the left is transmitted and reflected from a potential step:
http://www.opensourcephysics.org/items/detail.cfm?ID=8157
1D quantum scattering-state wave function and its time evolution for an
arbitrary potential V(x) on the interval [xmin,xmax]:
http://www.opensourcephysics.org/items/detail.cfm?ID=10220
Plane wave scattering at a potential step:
http://www.opensourcephysics.org/items/detail.cfm?ID=10534
Gaussian wave scattering at a potential step:
http://www.opensourcephysics.org/items/detail.cfm?ID=10535
Gaussian wave onto six different potentials:
http://www-ekp.physik.uni-karlsruhe.de/~feindt/schrodinger/Introduction.htm
Energy of a plane wave through potential steps and double barriers:
http://webphysics.davidson.edu/qmbook/barriers/default.html
A plane wave encounters an increase in potential energy:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_up1.html
A plane wave encounters a decrease in potential energy:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_down1.html
A plane wave encounters a potential energy barrier:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_barriers1.html
A plane wave encounters two barriers in potential energy:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_2barriers1.ht
ml
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
A plane wave encounters a potential energy well:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_wells1.html
A plane wave encounters two wells in potential energy:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_2wells1.html
A plane wave encounters two steps in potential energy:
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/demo_barrier_2step1.html
Wave through potential barrier/well:
http://webphysics.davidson.edu/Applets/Barrier/WaveMap.html
http://webphysics.davidson.edu/physlet_resources/quantum/barriers/default.html
Gaussian wave packet when it hits a step or a barrier of potential:
http://www.quantum-physics.polytechnique.fr/en/step.html
Potential Step:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=15
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=33
Quantum Tunneling:
http://phys.educ.ksu.edu/vqm/html/qtunneling.html
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=16
Double well and covalent bonds:
http://phet.colorado.edu/en/simulation/covalent-bonds
Quantum Tunneling and Wave Packets:
http://phet.colorado.edu/en/simulation/quantum-tunneling
Scattering on a Finite Well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=17
Scattering by Yukawa and Coulomb potentials:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=44
3D scattering experiments
Rutherford Scattering
http://phet.colorado.edu/en/simulation/rutherford-scattering
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
The 2D Infinite Square Well
Wave function in a 2D square well:
http://webphysics.davidson.edu/qmbook/two_d/two_d1.html
http://webphysics.davidson.edu/qmbook/two_d/two_d2.html
2D Square Well, various interactive exercises:
http://webphysics.davidson.edu/physlet_resources/quantum/two_d/default.html
2D infinite square well energy eigenfunctions:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=2
2D Superposition of States
Quantum superposition in two dimensions:
http://www.quantum-physics.polytechnique.fr/en/pages/p04t.html
Time evolution of the two-dimensional position-space wave function using
colour to represent its phase:
http://www.opensourcephysics.org/items/detail.cfm?ID=7180
Quantum superposition in a 2D infinite square well:
http://www.quantum-physics.polytechnique.fr/en/pages/p04t.html
The 2D Harmonic Oscillator
2D Quantum Harmonic Oscillator:
http://www.falstad.com/qm2dosc/
2D Simple Harmonic Oscillator energy eigenfunctions:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=11
Bound states in 2D potentials
Time evolution of the two-dimensional position-space wave function using
colour to represent its phase:
http://www.opensourcephysics.org/items/detail.cfm?ID=7180
Time evolution of the two-dimensional probability density using colour to
represent its magnitude:
http://www.opensourcephysics.org/items/detail.cfm?ID=7181
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Time evolution of the position-space wave function in an deep 2D circular
well:
http://www.opensourcephysics.org/items/detail.cfm?ID=8327
2D energy eigenstates of a particle trapped in a very deep two-dimensional
circular well:
http://www.opensourcephysics.org/items/detail.cfm?ID=9639
Energy eigenstates for a particle in a 2D infinite rectangular well:
http://www.opensourcephysics.org/items/detail.cfm?ID=9636
Time evolution of the wave function in an infinite 2D rectangular well using
a superposition of energy eigenfunctions Ψn,m(x,y) with eigenvalues En,m:
http://www.opensourcephysics.org/items/detail.cfm?ID=9637
Periodic potentials in two dimensions:
http://www.falstad.com/qm2dcrystal/
2D rectangular square well:
http://www.falstad.com/qm2dbox/
2D circular square well:
http://www.falstad.com/qm2dcirc/
2D infinite Circular Well energy eigenfunctions:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=21
Energy eigenstates of the 2D triangular infinite well:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=46
The 3D Harmonic Oscillator
3D Quantum Harmonic Oscillator:
http://www.falstad.com/qm3dosc/
Hydrogen atom
Bohr’s model with extension to elliptical orbits:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=32
Models of the hydrogen atom:
http://phet.colorado.edu/en/simulation/hydrogen-atom
Hydrogen spectroscopy:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/h2spec.html
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
2D wave functions for Coulomb Potential:
http://webphysics.davidson.edu/qmbook/two_d/Hydrogenic.html
Radial and angular wave functions:
http://webphysics.davidson.edu/physletprob/ch10_modern/default.html
Radial energy eigenfunctions and probability densities for Hydrogen-like
atoms:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=50
Orbitals of the Hydrogen atom:
http://www.falstad.com/qmatom/
3D Hydrogen atom probability densities (n,l,m) for n=1,2,3:
http://www.opensourcephysics.org/items/detail.cfm?ID=10532
Molecular orbitals of hydrogen molecular ion (H2+) in 3-D:
http://www.falstad.com/qmmo/
Spin and angular momentum
Single and multiple measurements of different ensembles of identically
prepared spin-1/2 particles:
http://www.opensourcephysics.org/items/detail.cfm?ID=7329
Simulation showing the result of measuring the z component of spin on a
beam of spin-1/2 particles with a random (or statistical) mixture of spins
orientations:
http://www.opensourcephysics.org/items/detail.cfm?ID=7011
Model for the magnetic resonance of spin one-half particles:
http://www.opensourcephysics.org/items/detail.cfm?ID=10072
A series of applets including: spin 1/2, Larmor precession, magnetic
resonance, and spin echo.
http://www.quantum-physics.polytechnique.fr/
Illustration and explanation of quantized angular momentum:
http://www.shermanlab.com/xmwang/myGUI/AngQMBt.html
Stern Gerlach experiment:
http://phet.colorado.edu/en/simulation/stern-gerlach
http://www.if.ufrgs.br/~betz/quantum/SGPeng.htm
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Successive Stern Gerlach Experiments:
http://physics.oregonstate.edu/~mcintyre/ph425/spins/index_SPINS_OSP.html
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=42
Simplified MRI:
http://phet.colorado.edu/en/simulation/mri
Magnetic resonance of spin one-half particles:
http://www.compadre.org/quantum/document/ServeFile.cfm?ID=10072&DocID=1669
Spin Chain:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=29
Spin Cluster:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=30
Vector Model of Angular Momentum:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=47
2D infinite Circular Well energy eigenfunctions:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=21
Wave function of the rigid rotor (spherical harmonics):
http://www.falstad.com/qmrotator/
3D plots of Spherical Harmonics (YLM):
http://www.vis.uni-stuttgart.de/~kraus/LiveGraphics3D/java_script/SphericalHarmonics.html
Spherical Harmonics (vary l and m to plot the angular probability density):
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=45
Multi-particle wave functions
Non-interacting particles in a 1D infinite square well
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=3
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=48
Atomic structure, quantization of energy levels and spectroscopy
Formation mechanism for an emission spectrum and an absorption
spectrum for Hydrogen, Helium, and Oxygen:
http://sci2.esa.int/interactive/media/applets/2_5_1.htm
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Energy band creator:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/eband.html
Atomic orbitals:
http://micro.magnet.fsu.edu/electromag/java/atomicorbitals/
Emission spectra for atomic gases:
http://phys.educ.ksu.edu/vqm/html/emission.html
Absorption spectra for atomic gases:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/absorption.html
Fluorescence spectroscopy:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/fluorescence.html
Phosphorescence:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/phosphorescence.html
Franck-Hertz Experiment:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/FranckHertz.html
Discharge lamps:
http://phet.colorado.edu/en/simulation/discharge-lamps
Zeeman Effect
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/zeemanspec.html
Density Matrix
Density matrix for a two-level Spin System:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=41
Quantum information
Deutsch-Josza algorithm:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=31
Quantum bomb detection:
http://www.st-andrews.ac.uk/~qmanim/embed_item_3.php?anim_id=39
Conductivity
Experiment with conductivity in metals, plastics and photoconductors:
http://phet.colorado.edu/en/simulation/conductivity
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Dope the semiconductor to create a diode:
http://phet.colorado.edu/en/simulation/semiconductor
Band structure:
http://phet.colorado.edu/en/simulation/band-structure
Light sources
Incandescence lamp:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/incandescence.html
LED constructor
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/ledcons.html
LED spectra and operation:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/led.html
Diode Laser:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/diodelaser.html
He-Ne Laser:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/henelaser.html
Ruby Laser:
http://perg.phys.ksu.edu/vqm/software/online/vqm/html/rubylaser.html
Create a laser by pumping the chamber with a photon beam:
http://phet.colorado.edu/en/simulation/lasers
Complex and special functions
Displays a user-defined complex function of position and time using
representations that map phase into colour:
http://www.opensourcephysics.org/items/detail.cfm?ID=7065
Legendre and Laguerre polynomials, Bessel functions and other special
functions model:
http://www.opensourcephysics.org/items/detail.cfm?ID=8384
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012
Collection of topics:
Set of applets featuring illustrations of quantum mechanics through
interactive animations in the following domains:
Young interference fringes – Wave packet propagation - Linear
superposition of eigenstates - Nuclear magnetic resonance:
http://www.quantum-physics.polytechnique.fr/
Antje Kohnle and Giuseppe Smirne, University of St Andrews, 2012