M.Sc. (Hons) Physics Syllabus
Semester I

COURSE CODECOURSE NAMECREDITS

JMPH101
Mathematical Physics:
UNITI
Matrices: Definitions and types of matrices; Solution of linear algebraic equations; Characteristic equation and diagonal form; Eigen values and Eigen vectors; Cayley  Hamilton theorem; Functions of matrices; Application in solving linear differential equation.
UNITII
Differential Equation: Linear Differential equation of first order; Linear differential equations with constant coefficient; Summary of Frobenius method, Exact equation, Inhomogenous linear equation, Differential equation with exact solution.
UNITIII
Complex Analysis: Function of complex variables; CauchyRiemann differential equations; Cauchy's integral theorem, Cauchy's integral formula; Taylor's Series, Laurent series; Cauchy residue theorem; Singular points of an analytical function; Evaluation of residues & definite integrals.
UNITIV
Special Functions Differential Equations: Differential Equations and Special Functions, Beta and Gamma functions; Second ordered linear differential equations with variable coefficients; Solution of Hypergeometric, Legendre, Bessel, Hermite and Laguerre equations; Physical applications; Generating functions; Recursion relations.
UNITV
Fourier series and Transforms: Fourier series; Fourier integrals and transform; FT of Delta functions; Convolution theorem; Parseral's identity; Applications to the solution of differential equations. Laplace Transform and its properties; Applications to the solution of differential equations
Books:
 1. Artken& Weber, Mathematical methods for Physicist, Academic Press N.Y.
 2. E. Kreyszig, Advanced Engineering Mathematics, New Age International.
 3. J.W. Brown, R.V .Churchill, Complex Variables and Applications,McGraw Hill.
 4. A. W. Joshi, Matrices and Tensors in Physics, New Age International.
04 
JMPH102
Classical Mechanics:
UNITI
Preliminaries of classical mechanics: Newtonian mechanics  one and many particle systems; Conservation laws; Work energy theorem; Open system (with variable system) constraints and their classification; D‟Alembertprinciple; Generalized coordinates.
UNITII
Central Forces: Reduction to one body problem; equation of motion and first integral; one dimensional problem and classification of orbits; Kepler‟s laws and planetary motion; Scattering in central force field; Transformation to laboratory frames.
UNITIII
Rigid Body and Vibrating System: Euler angles; Tensor of inertia; Kinetic energy of a rotating body; Symmetric top and Applications; Vibrating string; Solution wave equation; Normal vibrations; Dispersion; Coupled vibrating system.
UNITIV
Hamiltonian Formulation: Legendre transformation; Hamiltonian equation of motion; cyclic coordinates; Phase space and Liouville‟s theorem; Poisson bracket.
UNITV
Special Theory of Relativity: Inertial and Non inertial Frames, MichelsonMorley Experiment, Postulates of Special Theory of Relativity, Galilean and Lorentz Transformation, Length Contraction and Time Dilation, Addition of Velocities, Mass Energy Equivalence and Variation of Mass with Velocity.
Books:
 1. N. C Rana& P S Joag, Classical Mechanics by, TMH.
 2. H. Goldstein, Classical Mechanics, Narosa Publishing Home.
 3. P.V. Panat, Classical Mechanics, Narosa Publishing Home.
 4. R. G. Takawale and P.S.Puranik, Introduction to Classical Mechanics, TMH
 5. J. C. Upadhyaya, Classical Mechanics, Himalaya Publishing House.
04 
JMPH103
Quantum Mechanics:
UNITI
Schrödinger Equation: Empirical basis; deBroglie hypothesis of matter waves; Heisenberg's uncertainty relation; Schrödinger's wave equation; Physical interpretation and conditions on wave function; Eigenvalues and Eigenfunctions; Particle in a squarewell potential; Tunneling through a barrier.
UNITII
Operators and Eigenfunctions: Linear operator; Orthogonal systems and Hilbert space ; Expansion in Eigenfunctions; Hermitian operators; Fundamental commutation rule; Commutations and uncertainty principle; state with minimum uncertainty.
UNITIII
Operators and Eigenfunctions: Linear operator; Orthogonal systems and Hilbert space ; Expansion in Eigenfunctions; Hermitian operators; Fundamental commutation rule; Commutations and uncertainty principle; state with minimum uncertainty.
UNITIV
Operators and Eigenfunctions: Linear operator; Orthogonal systems and Hilbert space ; Expansion in Eigenfunctions; Hermitian operators; Fundamental commutation rule; Commutations and uncertainty principle; state with minimum uncertainty.
UNITV
Scattering Theory and Approximation Methods: Scattering crosssection; Born Approximation; partial wave analysis; Differential and total cross sections; phase shifts; exactly soluble problems; Mutual scattering of two particles; Perturbation theory and variation method.
Books:
 1. P.M.Mathews and K.Venkatesan, A Textbook of Quantum Mechanics, Tat McGrawHill.
 2. A.Ghatak and S.Lokanathan, Quantum mechanics: Theory and Applications,KluwerAcademic Press.
 3. Li boff, Introductory Quantum Mechanics, Pearson Education Ltd.
 4. R.P. Feynman, Feynman Lectures on Physics (Volume 3), Narosa.
 5. J.J. Sakurai, Modern Quantum Mechanics, AddisonWesley.
04 
JMPH104
Electromagnetic Theory:
UNITI
Electrostatics: Differential equation for electric field; Gauss‟s law; Poisson and Laplace equations; formal solution for potential with Green‟s functions; examples of image method; Solutions of Laplace equation in cylindrical and spherical coordinates by orthogonal functions; Dielectrics, polarization of a medium, electrostatic energy; Boundary value problems.
UNITII
Magnetostatics: Magnetic Induction, Biot Savart law, Ampere‟s law and applications; Magnetic flux; Magnetization; Magnetic intensity, energy density; Linear and nonlinear media.
UNITIII
Maxwell's Equation: Displacement current; Maxwell's equations; Boundary conditions on the fields at interfaces; Vector and scalar potentials; Electromagnetic energy and momentum; Conservation laws; Inhomogeneous wave equation and Green's function solution.
UNITIV
Electromagnetic Wave: Electromagnetic wave equation; Solution and propagation of monochromatic waves in non conducting media; Polarization and energy density; Reflection and transmission at oblique incidence; Waves in conducting media; Wave guides, TE, TM and TEM waves in rectangular wave guide.
UNITV
Radiation: Field and radiation in dipole; Radiation by moving charges; LienardWiechert potentials; Total power radiated by an accelerated charge; Lorentz formula; application to antenna; Types of antennas.
Books:
 1. J.D. Jackson, Classical Electrodynamics, John Wiley & Sons.
 2. D. J. Griffiths, Introduction to Electrodynamics, Prentice Hall of India.
 3. F.J. Milford and R.W. Christy, Foundations of Electromagnetic Theory, Narosa publishing house.
 4. E.C. Jordon and K.G. Balmain, Electromagnetic Waves and Radiating Systems, PrenticeHall of India.
02 
JMPH105
Thermodynamics & Statistical Physics:
UNITI
Elementary Probability Theory: Binomial; Poisson and Gaussian distributions; Central limit theorem
UNITII
Ensembles: Review of Thermodynamics: Extensive and intensive variables; Laws of thermodynamics; Legendre transformations and thermodynamic potentials; Maxwell relations; Applications of thermodynamics to (a) ideal gas; (b) magnetic material and (c) dielectric material
UNITIII
Formalism of Equilibrium: Statistical Mechanics: Concept of phase space; Liouville's theorem; Basic postulates of statistical mechanics; Ensembles: microcanonical, canonical, grand canonical and isobaric; Connection to thermodynamics; Fluctuations; Applications of various ensembles; equation of state for a nonideal gas; Vander Waals' equation of state; Meyer cluster expansion; virial coefficients.
UNITIV
FermiDirac Statistics: FermiDirac, Ideal Fermi gas, properties of simple metals, Pauli paramagnetism, electronicSpecific heat and white dwarf stars.
UNITV
BoseEinstein Statistics: BoseEinstein statistics; Applications of the formalism to: Ideal Bose gas; Debye theory of specific heat, properties of blackbody radiation, BoseEinstein condensation, experiments on atomic BEC, BEC in a harmonic potential.
Books:
 1. F. Reif, Fundamentals of Statistical and Thermal Physics, Tata McGrawHill.
 2. F.Reif, Fundamentals of Statistical and Thermal Physics, McGraw  Hill.
 3. B.B.Laud, Fundamentals of Statistical Mechanics, New Age International Pub.
 4. Lokanathan and Gambhir, Statistical & Thermal Physics, Prentice Hall of India.
02 
JMHM101
Industrial Management:
UNITI
General Management: Principles of scientific management; Brief description of managerial functions. Business Organizations: Salient features of sole Proprietorship, Partnership, Joint stock Company  private and public limited.
UNITII
Financial Management: Concept of interest; Compound interest; Present worth method, Future worth method. Depreciation  purpose, Types of Depreciation; Common methods of depreciation  Straight line method, Declining balance method, Sum of the years digits method.
UNITIII
Personnel Management: Leadership and motivation; Staff role of the personnel department; Personnel functions; Organizational structure. Human Resource Planning: Reasons for human resource planning; Planning process; Goals and plans of the organizations; Implementation programs; Brief description of recruitment, selection, placement, performance appraisal, career development, promotion, transfer, retirement, training and development, motivation and compensation.
UNITIV
Material Management: Importance; Definition; Source selection, Vendor rating and Value analysis; Scope of MRP. Inventory Control: Definition, objectives, reasons, and requirements for inventory management; Inventory methods  ABC Analysis, VED. Economic Order Quantity models  Basic EOQ, Economic production run size and Quantity discounts.
UNITV
Material Management: Importance; Definition; Source selection, Vendor rating and Value analysis; Scope of MRP. Inventory Control: Definition, objectives, reasons, and requirements for inventory management; Inventory methods  ABC Analysis, VED. Economic Order Quantity models  Basic EOQ, Economic production run size and Quantity discounts.
Books:
 1. K. K. Ahuja, Industrial Management, Vol. I & II, Khanna Publisher.
 2. E. Paul Degarmo, John R.Chanda, William G. Sullivan, Engg Economy, Mac Millan Publishing Co.
 3. Philip Kotler, Principles of Marketing Management, Prentice Hall.
 4. Materials Management, Prentice Hall of India Ltd.
02 
JMPH151
Physics Lab I:
List of Experiments:
Note: Minimum 10 experiments should be performed
 1. Study of NonDestructive Testing using Ultrasonics.
 2. Measurement of resistivity of sheets/films of polymer by Two Probe Method.
 3. Study of OpAmp as Square and Ramp Generator.
 4. Find the Susceptibility of given paramagnetic substances (FeCl3) by Quincke‟s Method.
 5. Study of Curie Temperature of Magnetic Materials (Iron).
 6. Study of carrier density, mobility and Hall Coefficient of semiconductor using Hall's experiment.
 7. Study of the elastic constants of glass by Cornu‟s interference methodsElliptical and Hyperbolic Fringes
 8. To trace IV characteristic curves of diodes and transistors on a CRO, and learn their uses in electronic circuits
 9. Determination of solar constant of a solar cell.
 10. To study the Fibre attenuation of a given optical fibre.
 11. Study of Band gap energy of a Thermister.
 12. Determination of Stefan‟s constant.
 13. MATLAB  Matrix operations.
 14. MATLAB: Digital Signal Processing
 15. MATLAB: Solving Ordinary Differential Equation.
Books:
 1. Experimental Physics: Modern Methods, R.A. Dunlap, Oxford University Press.
 2. B.K. Jones, Electronics for Experimentation and Research, PrenticeHall.
 3. Basic Electronics: A TextLab Manual, P.B. Zbar and A.P. Malvino, Tata McGraw Hill, New Delhi.
08 
Total Credits32