MS University Syllabus for Msc

I have completed B.Sc. Physics and want to take admission in M.Sc. Physics course offered at Manonmaniam Sundaranar University . Provide the M.Sc. Physics syllabus for an idea .

[Arun Vats]

Manonmaniam Sundaranar University was established in the year 1990. It is affiliated to UGC, NAAC . It is located at Tirunelveli, Tamil Nadu, India .

It offers two year duration M.Sc. Physics course .

Semester-I
1. Classical MechanicsandRelativity
2. Mathematical Physics-I
3. Electronic Devices
Elective I 4.a.RenewableenergysourcesOR 4.b. Optoelectronics andLasers
Practical 1 - Physics-I

Semester-II
5. Mathematical Physics-II
6. Electromagnetic Theory
7.MicroprocessorandMicrocontroller
Elective II 8.a.NonlinearDynamicsandChaos OR 8.b.Communication Electronics
Practical2-Electronics

Semester-III
9.QuantumMechanics-I
10.SolidStatePhysics
11.StatisticalMechanics
ElectiveIII–Project
Practical 3 - Physics -II

Semester-IV
12. Quantum Mechanics-II
13. Molecular Spectroscopy
14.NuclearandParticlePhysics
Elective IV 15.a.Material Science OR 15.b. Physics of NanoMaterials
Practical4-ComputerProgrammingC++andMicroprocessor

1. CLASSICAL MECHANICS AND RELATIVITY
UNIT I
Variational Principles and Lagrange's equations: System of particles – constraints – D'Alembert's principle - Lagrange's equation – velocity dependence forces – dissipation functions – applications of Lagrange's formulation – Hamilton's principle – calculus of variation – Lagrange's equation from Hamiltons 's principle – Advantages of variational principle formulation.

UNIT II
The two body central force problem: Reduction of two body problems into one body and equivalent one dimensional problems – equation of motion of first integrals – virial theorem – Bertrand's theorem – Kepler's problems – scattering in a central force field – transformation of scattering problems to Laboratory coordinates.

UNIT III
The Kinematics of Rigid body motion: Independent coordinates of a rigid body – matrix transformation – Euler's angle – Coriolis force – Angular momentum and kinetic energy – Euler‟s equations- torque free motion – cyclic coordinates – principle of least action – Hamilton's equation from variational principle – small oscillations – normal coordinates – Eigen values – linear triatomic molecule - forced vibrations.

UNIT IV
Canonical Transformations : Generating functions – properties – Poisson's brakets – Poisson braket formulation for equations of motion – Hamilton's Jacobi theory – Harmonic oscillator problems – Hamilton's characteristic function – separation of variables – action angle variables.

UNIT V
Special Relativity in Classical Mechanics : Lorenz transformation – A four dimensional formulation – relativistic elastic scattering – The Lagrangian and Hamiltonian of a relativistic particle – a covarient formulation.

BOOK FOR STUDY:
1. Classical Mechanics - Herbert Goldstein, II Edition, Narosa Publishing House, 2001.

BOOKS FOR REFERENCE
1. Classical Mechanics , B.D. Gupta, Satya Prakash
Kedarnath-Ramnath Pub. Pvt.Ltd., 9th Edition ,1975
2 Classical Mechanics, S. L. Gupta, V. Kumar, H. V. Sharma.
Edition, 23. Publisher, Pragati Prakashan
3 Classical Mechanics of paricles and bodies , Kiran C. Gupta,
New Age International P Ltd,2008
4. Classical Mechanics , V.B. Batia, Narosa Publications,1997
5. Classical Mechanics , G. Aruldhas, Prentice-Hall of
India, Pvt. Ltd, New Delhi-110001,2008

2. MATHEMATICAL PHYSICS- I

UNIT I
Vector Spaces: Introduction – Gradient of a scalar field – divergence and curl of a vector function – physical significance – Gauss divergence – Stokes and Green‟s theorem (theorems only) – classification of vector fields-linear vector space – linear independence of vectors and dimensions-basis and expansion theorem-inner product and unitary space- orthonormal sets – Gramm - Schmidt – ortho normalization method – completeness.

UNIT II
Special Functions : Introduction-Legendre and Hermite functions/polynomials–their equations – series solutions – generating functions-recurrence relations – Rodrigue‟s formula-orthogonal properties – associated Legendre polynomials(introduction only) - beta and gamma functions.

UNIT III
Tensors: Introduction – indicial and summation conventions – scalars, contra variant and covariant vectors – tensor of higher ranks – algebraic operations of tensors-symmetric and antisymmetric tensors – metric tensor – associated tensors – tensor form of gradient, divergence, Laplacian and curl-simple applications of tensors to non-relativistic physics-tensor in dynamics of a particle – tensor in elasticity-tensor in rigid bodies.

UNIT IV
Group Theory: Definition of group – sub group – coset – classes – factor group-homomorphism – isomorphism – direct and semi-direct products – group representation-reducible and irreducible representations – theorems on representation –character of a representation – character table – construction of character table – C2v , C3v and D3 groups-symmetry group – unitary group, Lie group SU(2) and SU(3) – elements of point group.

UNIT V
Partial differential equation in Physics: Introduction – Laplace‟s equation and it‟s solution (in cartesian coordinates only)-example – separation of variable – one dimensional heat equation (finite and infinite rod) - equation of motion for the vibrating string – D‟Alembert‟s solution – Fourier solution – vibrations of a rectangular and circular membranes – inhomogeneous wave equations – magnetic vector potential.

BOOK FOR STUDY
1. Mathematical Physics, Satya Prakash, Sultan Chand & Sons, New Delhi.

BOOKS FOR REFERENCE
1. Applied Mathematics for Engineers and Physicists, Louis A. Pipes, Lawrence R.

Harvill, Mc Graw-Hill Ltd, 1970.
2. Mathematical Methods for Physicists, George Arfken and Hans J. Weber,

Edition Academic Press, N. Y.

3. Mathematical Physics, Eugene Butkov, Addison Wesley publishers. 1968.
4. Matrices and Tensors in Physics - A. W. Joshi, 3rd edition, New Age

International Publishers Ltd and Wiley Eastern Ltd, New Delhi, 1995
5. Group theory and its application to Physical problems - M. Hamermesh, Addison-

Wesley Pub. Co., 1962
6. Vector analysis, Murray R. Spiegel, Schaum's McGraw Hill Professional, 2009
7. Classical groups for Physicists, B. G. Wybourne, John Wiley & Sons, 1974
8. Special functions by E. D. Rainville, The Macmillan Company, New York, 1960.

3. ELECTRONIC DEVICES
UNIT I
Transistors: JFET, BJT, MOSFET and MESFET– Structure – Working – Derivations
of the equations for I-V characteristics under different conditions – High Frequency limits

UNIT II
Photonic Devices: Eradicative and non radiative transitions – Optical absorption- Bulk and thin film – Phtotoconductive devices(LDR) – diode photodetectors – solar cell – (open circuit voltage and short circuit current, fill factor) – LED ( high frequency limit – effect of surface and indirect combination current, operation of LED) – diode lasers ( conditions for population inversion in active region, line confinement factor) – Optical gain and threshold current for lasing – Fabry-Perrot cavity length for lasing and the separation

UNIT III
Memory Devices: Static and Dynamic random access memories SRAM and DRAM – CMOS and NMOS – non-volatile – NMOS – magnetic – optical and ferroelectric memories – charge coupled (CCD)

UNIT IV
Other Electronic Devices : Electro-optic – Magneto-optic and Acousto– Optic effects – Material properties related to get these effects – Important Ferro electric, Liquid Crystal and Polymeric materials of these devices – Piezoelectric – Electrostrictive and Magnetostrictive Effets - Important material exhibiting these properties and their applications in sensors and actuator devices. Acoustic Delay lines – piezoelectric resonators and filters – High frequency piezoelectric devices– Surface acoustic wave devices

UNIT V
Microwave Devices: Tunnel diode – Transfer electron devices (Gunn diode) – Avalanche
transit time devices – Impatt diodes – parametric devices.

BOOKS FOR STUDY
1 . Semiconductor Devices- Physics and Technology, S.M. Sze, John Wiley & Sons, 1985
2 . Introduction to Semiconductors Devices, M.S. Tyagi, John Wiley & Sons, 1991
3 . Measurment, Instrumention and Experiment Design in Physics and Engineering,
M. Sayer and A. Mansingh, Prentice Hall, India, 2000.
4 . Optical Electronics, Ajoy Ghatak and K. Thyagarajan, Cambridge Univ. Press,1989

4. a. RENEWABLE ENERGY SOURCES
UNIT I
Introduction : Primary and Secondary energy– commercial and non – commercial energy – renewable and non– renewable energy resources and their importance – world energy use– reserves of energy resources – energy cycle of earth – Indian energy scenario – Long term energy scenario for India – environmental aspects of utilization.

UNIT II
Solar Energy: Introduction– extra terrestrial solar radiation– radiation at ground level – collectors – solar cells – application of solar energy – Biomass energy – biomass conversion – bio gas production – ethanol production – pyrolysis and gasification – direct combustion – applications.

UNIT III
Wind Energy: Introduction – basic theory – types of turbines – applications
Geothermal energy – Introduction – geothermal resources types – resource base– application for heating and electricity generation– Tidal energy – Introduction – origin of tides – power generation scheme – Wave energy – Introduction – basic theory – wave power devices.

UNIT IV
Other Renewable Energy Sources: Introduction – open and closed OTEC cycles – biophotolysis – ocean currents – Hydropower – introduction – basic concept– site selection – types of turbine – small scale hydropower– Magneto hydrodynamics (MHD), Thermoelectric and Thermionic energy resources – basic principles – power generation – Nuclear energy – basic principle – power generation (basic ideas only).

UNIT V
Chemical Energy Sources: Introduction – Fuel cells-design and principle– classification – types-advantages and disadvantages – applications – Batteries– introduction – theory– different types of batteries arrangements – classification of batteries – advantages of batteries for bulk storage – Hydrogen energy – production– electrolysis – thermochemical methods – solar energy method – hydrogen storage.

BOOK FOR STUDY
1. Non-Conventional Energy Sources, G.D. Rai, Khanna publishers, New Delhi,1984

BOOKS FOR REFERENCE
1. Solar Energies of Thermal Processes, A.Duffie and W.A.Beckmann, John-Wiley,1980.
2. Principle of Solar Engineering, F.Kreith and J.F.Kreider, McGraw-Hill,1978
3. Alternate Energy Sources, T.N. Veziroglu, Vol.5 and 6, McGraw –Hill,1978.
4. Solar Energy -Principles of Thermal Collection and Storage, S P Sukhatme and

J K Nayak, Tata Mc Graw Hill.Tata, 2008

4.b. OPTOELECTRONICS AND LASERS
UNIT I
Light wave fundamentals: Electromagnetic waves -dispersion – pulse distortion – and information rate – polarisation- resonant cavities at plane boundary – critical angle - reflections

UNIT II
Integrated wave guides: Dielectric slab guide – modes in the symmetric slab guide – modes in the asymmetric slab wave guide – coupling to the wave guide- integrated optical network

UNIT III
Optic fiber wave guides : Step index fiber – graded index fibre – attenuation in fibers – modes in step index fiber – modes in graded index fibre pulse distortion and information rate in optic fibers – construction of optical fibers.

UNIT IV
Lasers : Emission and absorption of radiation- Einstein relations – absorption of radiation- population inversion – threshold conditions – laser losses - line shape functions – population inversion and pumping threshold conditions - Laser modes – Axial modes -Transverse modes- classes of laser - doped insulator laser - semiconductor laser - gas lasers - liquid gas lasers- single mode operation- frequency stabilization - mode locking - active mode-passive mode locking-

Q-switching methods
UNIT V
Holography: Wavefront reconstruction – linearity of holographic process – image formation of holographic process – Gabor hologram – limitations – Recording the hologram – minimum reference angle – holography of three dimensions – practical problems in holography – types of holograms- Fresnel - Fraunhofer – transmission- reflection – rainbow multiplex- embossed and thick holograms - application of holography – holography interferometry – holography computer memories.

BOOKS FOR STUDY
1. Fiber Optic Communications, Joseph C. Palais, Prentice Hall Publications. IV Edition

(Unit 1-3)
2. Optoelectronics, J. Wilson and J.F.B.Hawkes, Prentice Hall Publications,1989 (Unit 4)
3. Introduction to Fourier Optics, Joseph W.Goodman, McGraw Hill, Person Education
II Edition, 1996. (Unit 5)
BOOKS FOR REFERENCE
1. Photonics Optical Electronics in Modern Communications, Amnon Yariv and Pochi Yeh, Oxford University Press, VI Edition, 2006
2. Optical Fibers and Fiber Optic Communication Systems, Subir Kumar Sarkar, S. Chand & Co
3. Introduction to Fiber Optics, Ajoy Ghatak and K. Thyagarajan, Tata McGraw Hill

5. MATHEMATICAL PHYSICS- II
UNIT I
Matrices: Introduction – special types of matrices – transpose – conjugate –transposed conjugate – symmetric and antisymmetric matrices – Hermitian and skew Hermitian matrices – Determinant – adjoint – orthogonal and unitary matrices – Inverse of a matrix – diagonalization – eigenvalues and eigen vectors of the matrix – characteristic equation of a matrix – Cayley Hamilton theorem (proof and related problems).

UNIT II
Complex variables: Analytical functions – Cauchy –Riemann conditions – line integrals – Cauchy‟s theorem – Cauchy‟s integral formula – derivatives of analytic functions-power series – Taylor‟s theorem – Laurent‟s theorem – calculus of residues – evaluation of definite integrals – definite integrals of trigonometric functions of cosθ and sinθ (0∫2Π F(cosθ, sinθ)-type only) – certain improper real integrals (-∞∫+∞ f(x) dx-type only).

UNIT III
Special functions-II: Bessel function of first kind – generating function – recurrence relations-Jn(x) as solution of Bessel differential equation – expansion of Jn(x) when n is half and odd integer – integral representation – Laguerre‟s differential equation and Laguerre polynomials – generating function-Rodrigue‟s formula – recurrence relations – orthogonal property of Laguerre polynomials – associated Laguerre polynomials (basic ideas only).

UNIT IV
Fourier’s and Laplace’s integral transforms: Introduction – Fourier transform – properties of Fourier‟s transform – Fourier transform of a derivative – Fourier sine and cosine transforms of derivatives – Laplace transform (LT) – properties of LT – LT of derivative and integral of a function –LT of periodic function – Inverse LT – properties of inverse LT – application of LT to electrical circuits.
UNIT V
Numerical analysis: Introduction-numerical integration –trapezoidal rule –Simpson‟s rule –solution of ordinary differential equations of first order –Euler‟s method –modified Euler‟s method –Taylor series method –Runge-Kutta method -approximate solution of algebraic and transcendental equations –Newton-Raphson method –method of iteration –Monte-Carlo technique (basic ideas only).

BOOK FOR STUDY
1. Mathematical Physics, Satya Prakash, Sultan Chand & Sons, New Delhi.

BOOKS FOR REFERENCE
1. Applied Mathematics for Engineers and Physicists, Louis A. Pipes,

Lawrence R. Harvill, McGraw Hill Ltd, 1970.
2. Mathematical Methods for Physicists , George Arfken and Hans J. Weber,

VI Edition, Academic Press, N. Y.

3. Mathematical Physics, Eugene Butkov, Addison Wesley publishers. 1968.
4. Matrices and Tensors in Physics, A. W. Joshi, III Edition, New Age

International Publishers Ltd and Wiley Eastern Ltd, New Delhi, 1995.
5. Complex variables, Murray Spiegel, Schaum's Outline Series,

McGraw-Hill, New York, 1964
6. Complex variables and applications, J.W. Brown and R. V. Churchill-

7th edition. McGraw-Hill, New York, NY, 2004
7. Numerical Methods, E. Balagurusamy, Tata McGraw-Hill Publishing

company Ltd, New Delhi.
8. Special functions for Scientists and Engineers, W. W Bell. Dover,

New York, 2004



For detailed syllabus , here is the attachment

Contact Details :
Manonmaniam Sundaranar University
Tirunelveli, Tamil Nadu 627012

[sakthijeba]

pls give me previous exam question paper for M.sc physics