PAPER I RESEARCH METHODOLOGY
08MPPH 01
(4 Hrs / 4 Credits)
UNIT I WORKING ON A RESEARCH PROBLEM
Identification of the Problem – Determining the Mode Of Attack – Literature Survey –
Reference – Awareness of current status of the art –Abstraction of a Research Paper – possible
way of getting oneself abreast of Current Literature –Internet – And Its applications – E-Mail –
WWW.Browsing -Assessing the status of the problem – Guidance from the supervisor –Actual
investigation –Results and conclusions – Presenting a scientific seminar –Art of Writing the
Thesis.
UNIT II HYPERGEOMETRIC FUNCTIONS
Series solution of Gauss Hypergeometric equation – elementary properties of
Hypergeometric function – Symmetry property – Differentiation of Hypergeometric function –
Integral representation – Linear transformation of Hypergeometric functions.
UNIT III C LANGUAGE INTRODUCTION
C fundamental-Data types –Constants, Variables, Expressions, and Symbolic
constantsoperators:
Arithmetic, Unary, Relational, Logical and Conditional operators –Data Input, Output
functions: Single character I/O functions, String I/O functions, Formatted I/O functions-Control
statements: Conditional and Loop constructs –Unconditional control statement –Array.
UNIT IV FUNCTIONS, POINTERS, STRUCTURES AND FILES
Function –Definition – Declaration – Function calling –Passing argument to function –
Pointer: fundamentals –Declaration –Passing pointer to functions –Pointer in one dimensional
and multi dimensional arrays –Structure: Definition –structure and pointers –Passing structure to
function –Data file: Classification of data files –Opening and closing file –creating and
processing a data file.
UNIT V NUMERICAL ANALYSIS
Curve fitting –Least square method –Solution of equation: Graphical method, simple
iterative method –Newton-Raphson method –Numerical integration: Simpson’s rule–Gaussian
integration. Differential equation: Taylors series solution –Predictor and corrector method –
Runge-kutta method –Programs in C for the above Numerical methods.
BOOKS FOR STUDY AND REFERENCE
1. J.Anderson ,B.H.Durston &M.Poole,Thesis and assignment writing ,Wiley Eastern (1997).
2. Rajamal.P.A Devadas, A. Hand book of methodology of research,R.M.M vidyalaya press.
3. J.mathews and R.L Walker, Mathematical methods of physics W.A. Benjamin INC (1973).
4. L.A.Pipes and L.R.Harwil, Applied Mathematics for Engineers and Physicists McGraw
Hill(1997).
5. Thomas C Bartee, Digital Computer Fundamentals 6thed.Tata McGraw Hill, New Delhi (1992).
6. J.B Scarborough, Numerical Mathematical Analysis ,Oxford and IBH(1973).
7. M.K Venkataraman, Numerical Methods, Prentice Hall (1985).
8. Byron S Gottfried, Programming with C Schaum’s outline series TMH Edition New Delhi (1990)
9. MK Venkataraman, Numerical methods in Science and Engineering, The national publishing
company, Madras (1999)
10. N. Vedamurthy, N.CH.S.N Iyengar, Numerical methods. Vikas Publishing House Pvt Ltd, New
Delhi (1998)
11. W.H Press S.A. teukolsky, W.T Vetterling and B.P. Flannery, Numerical Recipes in C /.
Numerical Recipes in Fortran, Foundation books New Delhi (1993)
12. Internet: An Introduction, Cistern school of Computing Jaipur Tata McGraw Hill New Delhi
(1999).
Paper – II ADVANCED QUANTUM MECHANICS & FIELD THEORY
08MPPH 02
(4 Hrs / 4Credits)
UNIT – I SYMMETRY AND CONSERVATION LAWS
Space time symmetries – Displacement in space: conservation of linear
momentum – Displacement in time – Conservation of Energy – Rotations in
space –
Conservation of Angular momentum – Space inversion: Parity time reversal
invariance.
UNIT – II THEORY OF SCATTERING
Scattering cross-section – Partial wave analysis – greens functions in scattering
theory – Born Approximation – Low energy scattering – Briet-Wigner formula.
UNIT – III WAVE MECHANICAL PICTURE OF CHEMICAL BONDING
Molecular orbital method – MO treatment of Hydrogen molecule ion – MO
treatment of Hydrogen molecule – Diatomic molecular orbitals - Heitler London
theory
– VB method of Hydrogen molecule ion.
UNIT – IV RELATIVISTIC QUANTUM MECHANICS
Klein Gordon, pauli and Dirac equation , Algebra of r-matrices – Equivalence
transformations – Relativistic invariance solution of dirac equation for a free
particle –
definition of spin of a moving electron – normalization of the wave fast – Methods
of
obtaining matrix elements – Interpretations of negative energy states – Pair
creation and
annihilations.
UNIT – V QUANTUM FIELD THEORY
Lagrangian field theory – Canonical Quantization – Classical field equations –
Hamiltonian formulation quantization of field – Non-Relativistic fields – system of
Bosons – Systems of fermions – Relativistic fields - Klein Gordon fields – The
Dirac
field.
BOOKS FOR STUDY & REFERENCE
1. Quantum Mechanics – V.K.Thankappan – New Age International – IInd
Edition.
2. Modern Quantum Mechanics – J.J. Sakurai.
3. Introduction to Quantum Mechanics – Picke & Witle
4. Atomic structure and the chemical bond – Manas Chanda
5. Frontiers in Physics – Quantum electro dynamics - R.P. Feynman.
6. Quantum Mechanics – I.Schiff - McGraw-Hill international edition.
Paper – III ADVANCED PHYSICS – I
08MPPH 03
(4 Hrs / 4 Credits)
UNIT – I LASER
Population inversion – Optical pumping – Pumping rate calculation – Coherent &
incoherent resonators – Active & passive resonators – Q factor.
CO2 Laser – Nd:Yag Laser – Dye Laser – Holography .
UNIT – II MEDICAL PHYSICS
ECG – EEG – MRI System – Pulsed ultrasonic blood flow meter – Laser Doppler
blood flow meter – Laser Spectroscopy technique in Cancer detection – AC
Defibrillator
– DC defibrillator – Ultrasonic diathermy – Laser in angioplasty.
UNIT – III TRANSDUCERS
Electrical transducers – stain gauges – Resistance wire gauge – semiconductor
strain gauge – Resistance thermometer – Piezoelectric transducer.
UNIT – IV ELECTRONIC INSTRUMENTATION
Output power meters – Field strength meter – Phase meter – Commercial
impedence meter – Q meter – Impedence measurement using Q meter – RX
meters –
Automatic bridges – PH measurement using Hydrogen electrode.
UNIT – V MICRO CONTROLLER
µc 8051 architecture – Assembly programming & execution 8051 data types and
directives – Arithmetic, logic instructions – Timing & Registers – Applications –
LCD
interfacing seven segment numeric display – D/A & A/D conversion – Pulse width
measurement.
BOOKS FOR STUDY & REFERENCE
1. Laser theory & application – K.Thiagarajan & A.K. Ghatak.
2. Bio medical instrumental – M.Armugam, Anurada Agencies – 2005.
3. Biomedical instrumentation & measurements – Leslie Cromwell, Fred
J.Weibell
& Erich A.P. Feiffer – Prentice Hall of India.
4. Electronic Instrumentation – H.C.Kalsi.
5. Electronic Principles & Instrumentation – A.B. Bhattacharya.
6. The 8051 µc & Embedded System – Second Edition – Prentice Hall of India
(Pvt)
Ltd. – Muhamed Ali Mazidi et.al.
7. The 8051 µc Architecture , Programming & Applications – Kenneth J. Ayyala –
Second Edition – International Student Edition.
Paper – IV ADVANCED PHYSICS – II
08MPPH 04
(4 Hrs / 4 Credits)
UNIT – I ULTRASONIC STUDY OF LIQUID MIXTURES
Types of molecular interactions – Preparation of multi component liquid mixtures
– Measurement techniques – Interferometer – Continuous wave method – Pulse
Echo
method – density – Viscosity – Theories of ultrasonic velocity – Free length
theory –
Numoto’s relation – Collision Factor theory – Acoustical parameters – Adidbetic
compressibility – Intermolecular free length – Molar Volume – Free volume.
UNIT – II ULTRASONIC NON-DESTRUCTIVE TESTING
Ultrasonic testing – classification of ultrasonic testing – Contact testing – through
transmission – Pitch – catch – Resonance – flaw detector – different types of
scans –
Calibration of the testing system – Commonly used calibration blocks – Visual
inspection
prior to ultrasonic testing.
UNIT – III DETERMINATION OF MOLECULAR STRUCTURE
Vibrational spectra – vibrational energies of diatomic molecules – overtone
transitions of diatomic molecules – vibration – rotation spectra – Diatomic
vibrating
rotator – Asymmetry of rotation – Vibration – Absorption band – Fourier transform
infured (FTIR) spectroscopy – Pure rotational Raman spectra Vibrational Raman
Spectra.
UNIT – IV INTERACTION OF RADIATIONS WITH MATTER
General remarks on alpha radiation – velocity & energy of alpha particle – range
– velocity & range half life relations – Specific ionization & range energy relation
–
General remarks on Beta radiation – Velocity & energy of Beta particles – double
focussing spectrometer – general remarks on Gamma radiations – Klein –
Nishina cross
relation – Pair production – Measurement of gamma ray energies.
UNIT – V NONLINEAR DYNAMICS
Linear & non-linear oscillators – Phase Portraits – non-linearity – Linear Super
position principle – Linear and nonlinear electronic component Chua’s diode –
fixed
points and limit cycles – Period doubling phenomenon in Chua’s oscillator and
Duffing
oscillator – Analog simulation of duffing oscillator.
Solitons: Linear & Nonlinear waves – Solitary waves – Kdv equation – Numerical
experiments of krustcal & Zabusky – Hirsta’s Bilinearilization method - Solitons.
BOOKS FOR STUDY AND REFERENCE
1. Science and technology of Ultrasonics – Baldev Raj (Unit I & II), Narosa
Publishing house.
2. Transducers for Ultrasonic flaw detection – V.N.Bindal - Narosa Publishing
house (Unit I & II)
3. Atomic structure and the chemical bond – Manas Chanda – Tata McGraw –
Hill
(Unit-III)
4. Interaction of Radiations with matter – Roy & Nigam
5. Nonlinear Dynamics – Integrability patterns & chaos – S.Rajasekar &
M.Lakshmanan.
6. Concept of Nuclear Physics – R.Wong , John Wiley Publications.