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Old December 9th, 2016, 05:06 PM
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Join Date: May 2011
Default Re: IIT Chennai Msc Physics

IIT Chennai Department of Physics offered Msc Physics, as you are asking for its syllabus so I am providing same for you:

M.Sc. ( Semester1 ) ---- 2016
PH5010 Mathematics Physics I

Objectives : To introduce to students the basic techniques of mathematical Physics to pose and solve physical problems.
Course Contents : 1. Vecotrs and Tensors Vector calculus and tensors in index notation.
2. Linear Algebra Linear vector spaces, Dirac notation. Basis sets, Inner Products. Orthonormality and completeness. Gram-schmidt orthonormalization process. Linear operators, Matrix algebra, similarity transforms, diagonalization, orthogonal, Hermitian and unitary matrices. Spaces of square summable sequences and square integrable functions, generalized functions, Dirac delta function and its represenations. Differential operators, Fourier series.
3. Ordinary Differential Equations Power series solutions for second-order ordinary differential equations. singular poinrts of ODEs. Sturm-Liouville problems. Hermite, Legendre, Laugerre and Bessel fucntions. Recurrence relations and generating functions. Spherical harmonics. Addition theorem, Gamma, beta and error functions.
4. Probability theory and Random variables Probablity distributions and probability densities. Standard discrete and continous probablility distributions. Moments and generating fucntions. Central Limit Theorem (Statement and applications)

References :

1 Schaum's outline series, Mcgraw Hill (1964): (i) Vector and tensor analysis (ii) Linear Algebra (iii) Differential Equations, (iv) Probability, (v) Statistics
2. M. Boas, Mathematical Methods in Physics Sciences, 2nd Edition, Wiley International Edition, (1983).
3. E. Kreyszig, Advanced Engineering Mathematics, Wiley Eastern, 5th Edition (1991).
4. E. Kreyszig, Introductory Fucntional Analysis and Applications, John Wiley, (1978)
5. P. R. Halmos, Finite Dimensional Vector Spaces, Prentice-Hall India. (1988).

PH5030 Classical Mechanics

Mechanics of a system of particles in vector form. Conservation of linear momentum, energy and angular momentum. Degrees of freedom, generalised coordinates and velocities. Lagrangian, action principle, external action, Euler-Lagrange equations. Constraints. Applications of the Lagrangian formalism. Generalised momenta, Hamiltonian, Hamilton's equations of motion. Legendre transform, relation to Lagrangian formalism. Phase space, Phase trajectories. Applications to systems with one and two degrees of freedom. Central force problem, Kepler problem, bound and scattering motions. Scattering in a central potential, Rutherford formula, scattering cross section.
Noninertial frames of reference and pseudoforces: centrifugal Coriolis and Euler forces. Elements of rigid-body dynamics. Euler angles. The symmetric top. Small oscillations Normal mode analysis. Normal modes of a harmonic chain.
Elementary ideas on general dynamical systems: conservative versus dissipative systems. Hamiltonian systems and Liouville's theorem. Canonical transformations, Poisson brackets. Action-angle variables. Non-integrable systems and elements of chaotic motion.
Special relativity: Internal frames. Principle and postulate of relativity. Lorentz transformations. Length contraction, time dilation and the Doppler effect. Velocity addition formula. Four- vector notation. Energy-momentum four-vector for a particle. Relativistic invariance of physical laws.

References :

1. H. Goldstein, Classical Mechanics, 2nd Edition, Narosa Pub. House (1989).
2. I. Percival and D. Richards, Introduction to Dynamics, Cambridge University Press ( 1987) [Chapters 4,5,6, 7 in particular. also parts of Chapter 1-3,9, 10].
3. D. Rindler, Special Theory of Relativity, Oxford University Press (1982).

PH5060 Physics Lab I (PG)

References :

PH5100 Quantum Mechanics- I

Basic principles of quantum mechanics. Probabilities and probability amplitudes. Linear vector spaces. Bra and ket vectors. Completeness, orthonormality, basis sets. Change of basis. Eigenstates and eigenvalues. Position and momentum representations. Wavefunctions, probability densities, probability current. Schrodinger equation. Expectation values. Generalized uncertainty relation. One dimensional potential problems Particle in a box. Potential barriers. Tunnelling. Linear harmonic oscillator: wavefunction approach and operator approach. Motion in three dimensions. Central potential problem. Orbital angular momentum operators. Spherical harmonics.
Eigenvalues of orbital angular momentum operators. The hydrogen atom and its energy eigenvalues. Charged particle in a uniform constant magnetic field, energy eigenvalues and eigenfunctions. Schrodinger and Heisenberg pictures Heisenberg equation of motion. Interaction picture.
Semiclassical approximation: the WKB method Time-independent perturbation theory. Nondegenerate and degenerate cases. Examples. Time-dependent perturbation theory. Transition probabilities. Sudden and adiabatic approximations. Fermi golden rule. The variational method: simple examples.

References :

1. E. Merzbacher, Quantum Mechanics, 2nd Edition, Wiley International Edition (1970).
2. V.K. Thankappan, Quantum Mechanics. Wiley Eastern (1985)
3. J.J. Sakurai, Modern Quantum Mechanics, Benjamin Cummings (1985).
4. R.P. Feynman, R.B. Leighton and M.Sands, The Feynman Lectures on Physics, Vol.3, Narosa Pub. House (1992).
5. P.M. Mathews and K. Venkatesan, A Textbook of Quantum Mechanics, Tata McGraw-Hill (1977).

PH5040 Electronics

Introduction to Integrated Circuits Differential amplifiers using Transistors Operational amplifiers: Features, Characteristics, Negative feedback configurations, Mathematical operations application circuits, Non-linear applications , Comparator Window comparator, Regenerative comparator, Relaxation oscillator, Log and Antilog amplifiers , Multiplier, square and square-root circuits NE555, principle of operation and applications Introduction to Digital logic gates:Combinational circuits, Reduction using Karnaugh map, Implementation using universal gates, Arithmetic circuits , Look-ahead carry implementation, Binary BCD addition Decoders and encoders Multiplexers and demultiplexers their applications Flip-flops, types and implementation:Conversions, triggering, master/slave implementation Registers: Bina:ry up down counters , Synchronous counters , Ring and Johnson counters Random sequence generators: 7-segment display devices A to D and D to A converters Applications of digital circuits igital clock, stop-watch, frequency and period counter, digital voltmeter etc.
Introduction to microprocessors: Brief outline of 8085 processor, Instruction set, Simple programming examples, Pick the largest number, Delay, Arithmetic operation with single and multiyear, Block move with overlapping memory address,Ascending and descending ordering

References :

1. Electronic Principles – 5th Edition, Albert Paul Malvino Tana Mc-Graw-Hill Publishing Company Ltd., New Delhi, 1993
2. Digital Principles and Applications – 5th Edition Albert Paul Malvino Donald P.LcachTata Mc-Graw-Hill Publishing Company Ltd., New Delhi, 1994
3. Microprocessor Architecture, Programming and its Applications with the 885/8080A latest edition, 5th edition Ramesh S.Gaonkar Wiley Eastern Ltd., New Delhi, Bangalore, Madras. , 2002
4. Digital Fundamentals – 9th edition, Thomas L.Floyd,Prentice Hall, July 13, 2005
5. Digital Design – 3rd edition, M.Morris Mano Prentice Hall, 2001
6. Digital Design – 4th edition, M.Morris ManoPrentice Hall, 2006.
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  #3  
Old January 8th, 2017, 11:14 AM
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Default Re: IIT Chennai Msc Physics

Syllabus is present in official website of IIT Chennai.
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