COLLEGE OF SCIENCE 97 DEPARTMENT OF PHYSICS Degrees Offered: B.Sc., M.S., Ph.D. Chair: Zhou, Zicong (周子聰) The Department Established in 1963, the Department of Physics offers comprehensive programs for those who wish to pursue careers as scientists or engineers. We offer B.Sc., M.S., and Ph.D. degrees. In order to prepare students for a successful career in a highly competitive, high-tech world, we offer a curriculum that emphasizes the application of basic theories and extensive training in information technology and foreign languages. The faculty members of the Department of Physics conduct research on a vast variety of topics, including theoretical and computational physics, optoelectronics, material synthesis and characterization, synchrotron radiation-related research, and nanoscience. Faculty Professors Chan, Wai-ching (陳偉正); Chang, Henry C. L. (張經霖); Chen, Chun-nan (陳俊男); Chien, Fan-z (錢凡之); Cho, Hing-tong (曹慶堂); Ho, Choon-lin (何俊麟); Lin, Jenn-an (林震安); Lin, I-nan (林諭男); Pong, Way-faung (彭維鋒); Tseng, Wen-jer (曾文哲); Zhou, Zicong (周子聰) Associate Professors Chen, Jiing-yann (陳憬燕); Chen, Wuu-ben (陳武斌); Du, Chao-hung (杜昭宏) ; Hsueh, Hung-chung (薛宏中); Jen, Jen-yi (鄭振益); Lee, Ming-hsien (李明憲); Ling, Dah-chin (林大欽); Shiau, Shiow-meei (蕭秀美); Tang, Chen-yau (唐建堯); Wang, Shang Yung (王尚勇) Assistant Professors Chin, Yi-nan (秦一男); Liu, Guo-chin(劉國欽); Yang, Shu-chun(楊淑君); Yeh Ping-hung(葉炳宏) Degree Requirements The Department of Physics offers two programs at the undergraduate level: the Electro-optical Physics Program and the Applied Physics Program. 1. Requirements for B.Sc. in Electro-optical Physics: Completion of 133 credits of courses, including 101 credits of required courses and 20 credits of elective physics courses. 2. Requirements for B.Sc. in Applied Physics: Completion of 133 credits of courses, including 101 credits of required courses and 20 credits of elective physics courses. 3. Requirements for a Master's degree in Science: Completion of 26 course credits, including 15 credits of required courses. Students are also required to submit a written master's thesis completed under the supervision of a faculty member and pass an oral examination. 4. Requirements for a Ph.D. degree in Science: Students must complete 18 course credits, including 6 credits of required courses. Students are required to pass a qualifying examination within the first two years, publish at least one research paper in any journal listed in Science Citation Index, submit a written doctoral dissertation, completed under the supervision of a faculty member, and pass an oral examination. 2011-2012 TAMKANG UNIVERSITY CATALOG 98 COLLEGE OF SCIENCE Course Descriptions Undergraduate Courses E0768 Numerical Method (2/2): Various numerical methods, standard algorithms, and applications of library routines. E0722 Electric Circuits (3/0): Introduction to network laws and components, introduction to circuit analysis, network node voltages and mesh currents, network properties, Thevenin's and Norton's equivalent sources, operational amplifiers, equivalent circuits for three-terminal networks and two-port network. E0961 Electronics (3/3): DC, AC, passive components, digital, analog, semiconductors, diodes, power suppliers, junction transistors, small-signal amplifiers, field-effect transistors, operational amplifiers, feedback circuits, and frequency responses. E0868 Applied Mechanics (II) (0/3): Central-force motion, dynamics of a system of particles, dynamics of a rigid body, coupled oscillations, nonlinear oscillations (optional), motion in a noninertial reference frame (optional), continuous systems (optional). E0969 Applied Mechanics (3/0): coordinate transformation, matrix, vectors, Newton's Law, conservation theorems, simple harmonic oscillator, non-linear oscillations, gravitation, Euler's Equation when auxiliary condition is imposed, The Delta Notation, Lagrangian and Hamiltonian dynamics, central-force motion, dynamics of a system of particles, motion of noninertial reference frame, dynamics of a rigid body, coupled oscillations, orthogonality of eigenvectors, and continuous systems. S0003 Mechanics (3/0): Matrices, vectors and vector calculus, Newtonian mechanics, oscillations, gravitation, calculus of variations, Hamilton's principles, Lagrangian and Hamiltonian dynamics, central-force motion, dynamics of a system of particles, motion in a noninertial reference frame, dynamics of rigid bodies. S0041 Astromony (0/3): Overview of the universe, solar system, inter-stellar distance, properties of stars, classification and evolution, star nebulae, star cluster, structure and classification of galaxies, cosmology, observatories and telescopes. S0043 Fundamental Mathematical Physics (0/3): Introduction, reviews and concepts of functions, differentiations, vector algebra, vector differentiations, vector integrals, orthogonal curvilinear coordinates, differential equations. S0058 Semiconductor Physics (3/0): Energy bands and carrier concentration, carrier transport phenomena, P-N junction. S0082 Optical Electronics (3/0): The semiconductor laser, the light emit diode, detector and optical fibres. S0084 Optics (3/0): Nature of light, geometrical optics, and Gaussian approximation, wave optics, interference of light, coherence, polarization of light, diffraction of light. S0125 Solid State Physics(3/0)/ S0127 Solid State Physics (II) (0/3): Crystal structure, reciprocal lattice, crystal binding, phonon, free electron fermi gas, energy bands, semiconductor crystals, superconductivity, dielectrics and ferroelectrics, diamagnetism and paramagnetism, ferromagnetism and antifierromagnetism, magnetic resonance. S0127 Solid State Physics (II) (0/3): Crystal structure, reciprocal lattice, crystal binding, phonon, free electron fermi gas, energy bands, semiconductor crystals, superconductivity, dielectrics and ferroelectrics, diamagnetism and paramagnetism, ferromagnetism and antifierromagnetism, magnetic resonance. S0152 Mathematical Physics (3/3): Ordinary differential equations, first-order differential equations, 2011-2012 TAMKANG UNIVERSITY CATALOG COLLEGE OF SCIENCE 99 second-order differential equations, power series solution of differential equation, laplace transformation, fourier series and transformation, matrix, eigen-value problem, partial differential equation. S0164 Modern Physics Laboratory (1/1): Frank-Hertz experiment, Stefan-Boltzman radiation law, electron spin resonance, Balmer series of hydrogen, fine structure, and crystallization processes. S0203 Fourier Optics (0/3): Analysis of 2D signals and systems, foundations of scalar diffraction theory, Fresnel and Fraunhofer diffraction, wave optics analysis of coherent optical systems, frequency analysis of coherent optical systems, holography. S0249 Fundamental Applied Mathematics (0/3): Elementary partial differentiation and total differentiation, multiple integrals, vector calculus – the directional derivative, gradient, divergence, curl, line integral, surface integral, volume integral, Gauss’ Theorem, Stokes’ Theorem, orthogonal curvilinear coordinates, linear first-order, second-order differential equation, simple partial differential equation. S0290 General Physics (3/3): Introduction to force and motion, work and energy, conservation laws, rotation, waves, thermodynamics, kinetic theory, electricity, magnetism, Maxwell’s Equations, modern physics. S0291 General Physics Laboratory (1/1): Basic measure, force, simple pendulum, simple harmonic motion, laws of collision, coefficient of linear expansion, mechanical equivalent, thermal-electron electromotive force, consonance, electric line of force, resistance law, oscilloscope, reflection. S0310 Quantum Mechanics I (3/0): Introduction of probability, Schrodinger Equation, the uncertainty principle, one dimensional quantum systems, linear space and matrices, diagonalization of matrices, eigenvalues and eigenvectors, similarity transformation, central field systems, helium atoms, angular momentum. S0312 Quantum Physics (3/3): Particle properties of waves, wave properties of particles, atomic structure, quantum mechanics, one-dimensional examples, quantum mechanics of the hydrogen atom, many-electrons atoms, molecules, and time-independent perturbation. S0338 Electromagnetism (3/3): Electrostatic field, magnetostatic fields, boundary layer problems, material media, electromagnetic waves and radiation. S0339 Electromagnetism Laboratory (1/1): Electronic components identification and basic circuit operations: multi-meter operations and basic DC circuits, oscilloscope operation, function generator operations, RC circuits, RL circuits, RLC circuits, diode properties, rectifier circuits and voltage doublers, clipping circuits and clamping circuits, transistors I – The NPN Transistor as a digital switch. S0372 Microwave Physics (0/3): This course aims to demonstrate the application of electromagnetic waves in microwave communication systems. Based on the theory of electromagnetic wave, we will discuss transmission line theory and transmission line structure, followed by the design theory on the impedance matching, microwave resonator, power divider and directional coupler, and microwave fillers. In the last part of the course, microwave systems combining all the above-mentioned microwave passive devices will be briefly introduced. S0373 Digital Electronics (3/0): Digital design – binary system, Boolean algebra, logic gates, simplification of Boolean functions, combinational logic. Analog Design – amplifiers, frequency response, feedback, and operational amplifier. S0375 Digital Electronics Laboratory ( 1/1): Introduction of instruments, experiments on basic logic gates, experiments on combined logic systems, LED digital display-devices and their applications, flipflop IC circuits, up-counter and down-counter and its applications, experiments on circuits of coder and decoder, shift-register and its applications, comparators and its applications, arithmetic logic circuits, multiplex electronic system (Multiplexer), de-multiplex electronic system (De-multiplexer), introduction to the course and instruments, I/O (input / output) interface lay on and test, programming with C-language for I/O interface, experiment on a sequential (series) logic system, experiment on a 2011-2012 TAMKANG UNIVERSITY CATALOG 100 COLLEGE OF SCIENCE simulated electronic dice, A simulation of controlled traffic signals (communications), keyboard scanning and display systems, two-colors dot LED matrix. S0397 Applied Electric Circuits (3/0): Introduction of applied electric circuits/circuit theory, analysis of resistive circuits, loop and nodal techniques for circuit analysis, introduction to operational amplifiers, additional techniques for circuit analysis, energy storage elements: the capacitor and the inductor, analysis of first and second-order transient circuits, AC circuit analysis techniques, power calculations in AC circuits. S0398 Applied Electromagnetism (3/3): Vector analysis, electrostatics, special techniques for calculating potentials, electrostatic field in matter, magnetostatic field in matter, magnetostatics, electrodynamics, electromagnetic Waves. S0399 Computational Materials Physics (3/0): 3D GUI and materials studio introduction, more 3D functions and model building, crystal structures, ICSD and CSD, density functional theory methodology and application, atomic orbits and chemical bonds, bond length, vibration frequency, lattice parameter and bulk modulus, band structure theory, semiconductor, insulator and metal, magnetic properties of materials (VCA), phonon spectra, specific heat calculation and phase transition temperature, electronic spectra, refractivity and dielectric function, IR absorption and static dielectric function, NMR and atomic structure, surface reconstruction, work-function and STM image, chemical reaction, activation barrier and free energy (Molecular dynamics). S0401 Plasma Physics (3/0): This course consists of three major parts: (i) plasma physics, (ii) plasma chemistry, and (iii) diagnostics. Plasma physics covers the following topics: Plasma science, gas discharge, and plasma source. Plasma chemistry involves plasma processing, kinetics and collisions, atomic and molecular collision and spectra, and plasma surface kinetics. The third part includes the physics and chemistry of diagnostics. S0437 Thermal Physics (3/0)/ S0434 Thermodynamics (3/0): Temperature, simple thermodynamic systems, work, heat and the first law of thermodynamics, ideal gases, engines, refrigerators, the second law of thermodynamics, reversibility and the Kelvin temperature scale, entropy, pure substances, phase transitions, statistical mechanics, thermal properties of solids, higher-order phase transitions: critical phenomena. S0471 Applied Electronics (3/3): Semiconductors, diodes, bipolar junction transistors, field-effect transistors, transistor amplifiers, frequency response, operational amplifiers, differential and multistage amplifiers, integrated circuits. S0472 Applied Electronics Laboratory (1/1): Diode characteristics, rectifier circuits, Zener regulator circuits, transistor biasing and transistor characteristics, stable operating point by-pass capacitor and incremental resistance, CE amplifier circuits, emitter follower circuit MOSFET characteristics, MOSFET amplifier circuits, differential amplifiers, operational amplifiers. S0524 Applied Mathematics (3/3): Ordinary differential equations, first-order differential equations, second-order differential equations, power series solutions of differential equations, Laplace transformation, Fourier series and transformation, matrix, eigen-value problems, partial differential equation. S0547 Review on Frontier Physics (3/0): Physics and philosophy, experimental physics and astronomy, theoretical physics and thermodynamics, relativity and gravity, Gondens-matter physics, high-energy physics. S0553 Optics Laboratory (1/0): Polarization, Fresnel diffraction, self-imaging, Fraunhofer diffraction, Faraday rotation, holography, Acousto-optical modulation, and fiber optics. S0583 Quantum Mechanics (II) (0/3): Angular momentum algebra, addition of angular momenta, identical particle effect, one dimensional periodic quantum systems, introduction to quantum statistical mechanics, time-independent perturbation theory, fine structure, WKB approximation, variational principle, Aharonov-Bohm effect, quantum transition. 2011-2012 TAMKANG UNIVERSITY CATALOG COLLEGE OF SCIENCE 101 S0596 Partical Physics (3/0): This course provides a qualitative introduction to modern elementary particle physics for seniors. Topics include: elementary particles and their interactions, relativistic kinematics, symmetries and conservation laws, the quark model, neutrinos and the weak interaction, CP-violation, and the standard model and beyond. S0599 Physics of Materials (0/3): Structure, lattice, crystal structure, reciprocal space, bonding, X-ray diffraction, and lattice distortion. S0640 Review on Photonics (3/0): Fundamentals of optical and semiconductors, including photoelectronic semiconductors, display devices, fiber optics and its components, integrated optics, optoelectronic integrated circuits, optical storage devices, charge coupled devices and their application, photonic crystal, micro-optical devices, near field optics, nonlinear optics, electro-optics in medicine. S0654 Photonic Crystal (3/0): Fundamentals of photonic crystals, wave propagation in non-uniform dielectric media, wave propagation in periodic dielectric media, numerical method for photonic crystals, propagation and abnormal refractive in photonic crystals, design and fabrication of photonic crystals, application of photonic crystals. S0684 Applied Optics (0/3): Fourier optics, nonlinear optics, laser optics, fiber optics, polarization, theory of multilayer films, optical properties of materials. S0703 Computational Physics (0/3): Simple to complex-order differential equations, partial differential equations and boundary value problems, wave phenomena and fast Fourier transform, matrix calculations and eigenvalue problems, numerical integration, the Monte Carlo method, and molecular dynamics simulation. S0704 Electronics Laboratory (1/1): Diode characteristics, rectifier circuits, Zener regulator circuits, transistor biasing and transistor characteristics, operating point by-pass capacitor and incremental resistance, CE amplifier circuits, emitter follower circuit MOSFET characteristics, MOSFET amplifier circuits, differential amplifiers, and operational amplifiers. S0734 Optical Processes in Semiconductor (3/0): Theory of semiconductors, absorption, direct transition, indirect transition, emission, radiation recombination, iradiation recombination, donor, acceptor, exciton, phonon, photon, and polarition. S0744 The Special and General Theory of Relativity (3/0): The principle of relativity, 4-vector and tensor; the Chritoffel symbol, geodesic, Ricci tensor, Einstein’s law, Newtonian approximation, the Schwarzschild solution, gravitational red shift, deflection of light by the sun, precession of perihelia, black hole, gravitational wave, and cosmology. S0770 Introduction to Opto-Electric System (0/3): Semiconductors and their optical properties, light emitted diode (LED), solar cells, lasers, optical fiber, liquid crystal display (LCD), plasma display panels (PDP), holography, and DVDs and DVD players. S0819 Introduction to Statistical Mechanics (0/3): Boltzmann statistics, Fermi-Dirac and BoseEinstein distribution statistical method for ideal gas, heat capacity of solids, thermodynamics of magnetism, Bose-Einstein gases, Bose-Einstein condensation, Fermi-Dirac gases, free electrons in metal, information theory. S0829 Introduction to Quantum Information and Quantum Computations (0/3): Principles of quantum mechanics, quantum cryptography, quantum teleportation, quantum computations, and experimental findings. S0835 Mathematical Methods for Physics (I) (3/0): Probability, more on special functions, linear algebra (linear operators and Hilbert space). S0836 Mechanics (II) (0/3): Central-force motion, dynamics of a system of particles, dynamics of rigid body, coupled oscillations, nonlinear oscillations (optional), motion in a noninertial reference frame (optional), continuous systems (optional). 2011-2012 TAMKANG UNIVERSITY CATALOG 102 COLLEGE OF SCIENCE S0837 Mathematical Methods for Physics (II) (0/3): Tensor analysis and differential geometry, group theory, Green’s functions, variation. S0838 Principle of Fiber Optics (3/0): (1) The principle of optical-fiber optics: Snell’s law, total internal reflection, graded index rod lens, fiber optics, numerical aperture, line-width and band-width, material dispersion, wave-guide dispersion, modal distortion, maximum allowable modulation frequency, and integrated optics. (2) The principle of optical-fiber systems: optical-fiber networks, LAN networks, FDDI networks, CATV networks, and optical-fiber analog and digital networks. S0150 Special Topics in Physics (1/1): In this course, we give students the opportunity to conduct research on a variety of practical subject areas. Students will gain the ability to analyze and solve reallife problems, which will help them become all-rounded physicists. Furthermore, advances and discoveries in different fields of physics will also be highlighted in this course. T0136 Special Topic Research (1/1) Master's Program S0064 Classical Mechanics (3/0): Elementary principles, variational principles and Lagrange's equations, the central force problem, the rigid body motion, small oscillations, special relativity in classical mechanics, the Hamilton equations of motion, canonical transformations, Hamilton-Jacobi theory, canonical perturbation theory, introduction to the Lagrangian and Hamiltonian formulations for continuous systems and fields. S0073 Biophysics (0/3): Chemical binding and structure of biomolecules, energies, forces and bonds, rates of reaction, entropy, temperature and free energy, entropic forces, conformational and mechanical properties of biopolymers, biological membranes, molecular motors, genes and the genome. S0126 Solid State Physics (I) (0/3): Crystal structure: X-ray diffraction, phonons, free electrons, energy band, Fermi surface, and semiconductors. S0267 Statistical Mechanics (I) (0/3): Classical Statistical Mechanics, micro-canonical ensembles, canonical and grand canonical ensembles, quantum statistical mechanics, Fermi systems, Bose systems. S0310 Quantum Mechanics (I) (3/0)/S0583 Quantum Mechanics (II) (0/3): Schrodinger equation, bound states, hydrogen atoms, wave packets and uncertainty relations, WKB approximation, principle of quantum mechanics, perturbation theory, variational method, spin and angular momentum. S0335 Electrodynamics (3/0): Introduction to electrostatics, boundary-value problems in electrostatics I, boundary-value problems in electrostatics II, multipoles, electrostatics of macroscopic media, dielectrics magnetostatics, time-varying fields, Maxwell equations, conservation laws, plane electromagnetic waves and wave propagation, wave guides and resonant cavities, simple radiation systems. S0549 Magnetic Physics (3/0): 1. Magnetic moment of an atom, magnetic moment associated with orbital/angular momentum of an electron, spin-orbital coupling, crystal-field splitting, LS and HS states, J-T effect. 2. Magnetism of matter: diamagnetism, paramagnetism, ferromagnetism, antiferromagnetism, ferimagnetism, spin glass, superparamagnetism, and frustrated magnetism 3. Magnetic interaction: dipole interaction, exchange interaction, superexchange interaction, RKKY interaction, double exchange interaction, and coulomb interaction. 4. Magneto-crystalline anisotropy and magneo-striction 5. Domain magnetism 6. Techniques of magnetic measurements 7. Neutron scattering 8. Magnetic multilayers and nanostructured magnetic materials 9. Applications of magnetism and related topics. S0630 Introduction of Synchrotron Radiation (3/0): This lecture gives a description of the x-rays produced by the synchrotron radiation source and its applications in modern material research. S0693 Superconductor Physics (3/0): Historical overview, introduction to electrodynamics of superconductors, the BCS theory, Ginzburg-Landau theory, magnetic properties of classic type II 2011-2012 TAMKANG UNIVERSITY CATALOG COLLEGE OF SCIENCE 103 superconductors, Josephson effect, spectroscopic properties, high temperature superconductors and related topics. S0728 X-Ray Physics (3/0): The properties of x-rays, and the interaction of x-rays with matter, including the absorption spectra, emission spectra, and scattering. S0771 Atomistic Simulation of Optoelectronic Materials (3/0): Computational material science, theory of solid-state physics, density functional theory, pseudopotential, band theory, dielectric function and optical properties calculation, phonon calculation, many-body perturbation theory. S0786 Solid State Materials (3/0): This course introduces the basic principle of ceramic materials. We start with the structure of ceramics (especially the perovskite and spinel structures) and their mechanism for producing ferroelectric and magnetic properties of the materials; then we discuss the defect in ceramics and the mechanism for producing the semiconductivity of the materials. Also included in the course are mass and electrical transport of ceramics and the related mechanism for producing electrochemical properties, phase equilibria and the kinitics, and microstructure and its effect on physical properties. S0795 Physics of Nano-materials and their application (0/3): This course introduces nanotechnology and its potential application; we start with the general characteristics of nano-materials and their application, followed by description of the structure of nanomaterials; characterization technology for nano-materials, including scanning tunneling microscopy and transmission electron microscopy; and fabrication & properties of the nano-materials, that include (a) zero dimension materials and applications, such as quantum dot semiconductors, single electron transistor; (b) one dimension nano-materials, such as carbon nanotubes, ZnO-nanowires; and (c) two one dimension nano-materials, such as quantum well semiconductor and graphene. S0802 Electroceramics (0/3): This course introduces the physical properties and application potential of ceramic materials; we start with the structure of materials and the mechanism that produces the dielectric, semiconducting, ferroelectric, pyroelectric, piezoelectric and magnetic properties, followed by the introduction of typical dielectric, semiconducting, ferroelectric, pyroelectric, piezoelectric and magnetic material systems and possible device applications. S0811 Transmission Electron Microscopy: Principle and Application (0/3): This course introduces the principle of electron microscopy and its application for materials analysis. We start with an introduction to the structure and operation principle of TEM before discussing the principle of electron diffraction and its application for analyzing the materials structure, including Ewald sphere and rel-rod of diffraction spots. Other topics explored include kinetic and dynamic theory for image formation in TEM, including the analysis of defects in materials, phase contrast principle, and the principle for chemical analysis in TEM, including X-ray spectroscopy and electron energy-loss spectroscopy. T0102 Seminar (2/2) T8000 MS Thesis (4) Ph.D. Program E2844 Special Topics in Solid State Physics (3/0): Spin waves in magnetic insulators, superfluidity in weakly interacting Bose gas, Laudau’s theory of Fermi liquids, Bardeen-Cooper-Schrieffer theory of superconductivity, the Mott metal-insulator transition and the Hubbard model, the t-J model in two dimensions and cuprate superconductor, the Kondo effects, disordered conductors and Anderson localization, the integer and fractional quantum hall effects. S0268 Statistical Mechanics (II) (3/0): Basics of equilibrium statistical mechanics, the Ising model and phase transitions, critical phenomena, the renormalization group approach. S0526 Mathematical Physics (II) (0/3): Partial differential equations, Eigenfunctions and Green's function, perturbation theory, integral equations, calculus of variables, numerical methods. S0569 Electrodynamics (II) (0/3): Scattering, and diffraction, magnetohydrodynamics and plasma 2011-2012 TAMKANG UNIVERSITY CATALOG 104 COLLEGE OF SCIENCE physics, special theory of relativity, dynamics of relativistic particles and electromagnetic fields, collisions between charged particles, energy loss, and scattering, radiation by moving charges, Bremsstrahlung, method of virtual quanta, radiative beta processes, multipole fields, radiation damping, self-fields of a particle, scattering and absorption of radiation by a bound system. T0096 Seminar (II) (2/2) T8000 Thesis (6) 2011-2012 TAMKANG UNIVERSITY CATALOG