скачать DETAILED SYLLABUS FOR DISTANCE EDUCATION POST GRADUATE PROGRAM M.Sc(PHYSICS) YEARLY SYSTEM COURSE TITLE : MSc Phy DURATION : 2 YEAR MODE : SEMESTER TOTAL DIPLOMA MARKS : 900
CLASSICAL MECHANICS SUBJECT CODE: MSCP/Y/110 UNIT I Lagrangian Formulation Mechanics of a particle and system of particles, Constraints and generalized coordinates, D’Alembert’s principle, Principle of Virtual work, Lagrange’s equations of motion, Velocity dependent potential and dissipation function, Applications of Lagrange’s equation of motion for systems like single particle in space, Atwood’s machine, Bead sliding on rotating wire. ^ Hamilton’s principle, Derivation of Lagrange’s equations from Hamilton’s principle, Hamilton’s equation of motion, Cyclic coordinates and conservation theorems, Derivation of Hamilton’s equations from Variational principle and principle of least action. ^ Canonical Transformation The equations and examples of Canonical transformations, Harmonic oscillator, Poisson bracket, Poisson theorem, The angular momentum, Poisson bracket relation, Liouville’s Theorem. Two Body Central Force Problems Reduction to the equivalent one body problem, The equivalent one dimensional problem, Classification of orbits, Virial theorem, Differential equations for the orbit, Integral power law potential, Kepler’s problem, Motion and time in Kepler’s problem, Scattering in central force field, Transformation of scattering problem to laboratory coordinates. References:
MATHEMATICAL PHYSICS SUBJECT CODE: MSCP/Y/120 UNIT I Special Functions Bessel functions: Bessel function of first kind, Generating function, Recurrence relations, J_{n}(x) as solution of Bessel function , Expansion of J_{n}(x) when n is half an odd integer; ^ Generating functions for P_{n}(x), Recurrence relations and special properties, P_{n}(x) as solution of Legendre differential equation, Orthogonality of P_{n}(x). Laplace and Inverse Laplace Transform Conditions of existence, Laplace transformations of elementary functions, Basic theorem of Laplace transforms and its properties, Laplace transform of derivatives, Laplace transform of integrals. Properties and related theorem for Inverse Laplace Transform, Inverse Laplace transforms of derivatives and integrals, Convolution theorem. ^ Gamma and Beta Functions: Definition of beta and gamma function in terms of Euler integrals, Evaluation of Γ(1/2), Recurrence relation for gamma functions, Various forms of beta functions, Relation between beta and gamma functions, Evaluation of integrals using gamma functions. ^ Fourier series, Dirichlet conditions, Expansion of periodic functions in Fourier series, Sine and Cosine transforms, Complex form of Fourier series, Fourier Integral theorem and Fourier Transform. Fourier integrals, Physical applications of Fourier series analysis: Square waves (high frequencies), Full wave rectifier, Expansion of Riemann Zeta function. References:
NUCLEAR PHYSICS SUBJECT CODE: MSCP/Y/130 UNITI Nuclear Properties Survey of some nuclear properties, Nuclear radius, Nuclear masses and abundances, Binding energy, Electric and magnetic moments and nuclear shapes, Nuclear angular momentum and parity, Nuclear spin, Nuclear moments. ^ Nuclear stability and the forces between nucleons, Deutron problem, np scattering at low energies, Scattering length, Spin dependence of np scattering, Effective range in np scattering. Nuclear Models Liquid drop model, Semiempirical mass formula, Magic numbers, Shell model, The collective model. ^ Nuclear Reactions Types of nuclear reactions, Reaction crosssection, Conservation laws, Qvalues and its significance, BreitWinger formula, Compound nucleus, Optical model, Direct reactions. Radiation Detectors Interaction of radiation with matter, G.M. counter: Basic principle, working, quenching and mechanism of pulse formation; Gamma Ray Spectrometer: Basic principle and working of NaI(TI) detector, Pulse formation mechanism, Basic idea of pulse processing unit, Concept of energy resolution and efficiency; Semiconductor detectors: Basic principle, Construction and working of Si Surface barrier, Lithium drifted and high purity Germanium detectors. References:
SOLID STATE PHYSICS SUBJECT CODE: MSCP/Y/140 UNITI Crystal Structure Basic Concepts, Crystal nomenclature, crystal structure, lattice planes and miller indices, Reciprocal lattice, Construction of reciprocal lattice, Relation between direct and reciprocal lattice vectors, Reciprocal lattice of simple cubic, bcc, fcc lattices. Origin of Xrays, Bragg’s law, Laue method, Powder method and Rotating crystal method, ^ Classical free electron theory, Drawbacks of Classical Theory, Relaxation time, Collision time and Mean free path, Quantum theory of free electrons, FermiDirac Statistics and Distribution of Electrons in Solids, Effect of Temperature on FD Distribution, Free Electron Gas in Three Dimension, Heat Capacity of Electron Gas, Electrical Conductivity and Ohm’s Law, Matthiessen’s Rule, Cyclotron Frequency, Hall Effect, Thermal Conductivity of Metals WiedemannFranz Law. ^ Band Theory of Solids Introduction, Classification of Solids on the Basis of Band Theory, Bloch theorem, Nearly free electron model, origin of energy gap, magnitude of energy gap, Bloch theorem, The KroningPenney Model, The motion of electrons in one dimension according to the band theory, effective mass, concept of holes. Superconductivity Experimental Survey, Occurrence of Superconductivity, Destruction of Superconductivity by Magnetic Fields, Kondo Effect, Meissner Effect, Type I and Type II Superconductors, Thermal Properties of Superconductors, Magnetic Penetration Depth, Coherence Length., GinzburgLandau Coefficient, Isotope Effect, Thermodynamics of the superconducting transitions, London equation, Flux Quantization, Josephson Superconductor Tunneling, dc Josephson Effect, ac Josephson Effect, Applications of superconductors, High Temperature superconductors. References:
ELECTRONICS DEVICES AND CIRCUITS SUBJECT CODE: MSCP/Y/150 UNITI Bipolar Junction Transistor & its Biasing: Transistor Structure, Basic Transistor Operation, Transistor Characteristics and Parameters, Transistor as an Amplifier and as a Switch, DC Operating Point, Voltage Divider Bias. ^ Amplifier Operation, AC Equivalent Circuit, CommonEmitter Amplifier, CommonCollector Amplifier, CommonBase Amplifier. UNITII Field Effect Transistor & its Biasing: JFET Structure, Basic Operation, JFET Characteristics and Parameters, JFET Biasing, MOSFET Structure & Operation, MOSFET Characteristics and Parameters. ^ FET Amplification, CommonSource Amplifier, CommonDrain Amplifier, CommonGate Amplifier. UNITIII Two Terminal Devices: Schottky (HotCarrier) Barrier Diodes, Varactor (Varicap) Diodes, Power Diodes, Tunnel Diodes, Photodiodes, Thermistors. ^ Basic 4layer device, Silicon controlled rectifier (SCR), SCR applications: onoff control of current, half wave power control, SCR crowbar, Difference between power FET and SCR, DIAC, TRIAC, TRIAC phase control application, Silicon controlled switch (SCS), Unijunction transistor (UJT). ^ Operational Amplifiers: Introduction, Basic Information of Operational Amplifier, Ideal Operational Amplifier, Inverting and NonInverting Amplifier, Differential Amplifier, Common Mode Rejection Ratio (CMRR), Emitter Coupled Difference Amplifier. ^ Introduction, DC Characteristics, Input Bias Current, Input Offset Current, Input Offset Voltage, Total Output Offset Voltage, Thermal Drift, Slew Rate. References:
QUANTUM MECHANICS SUBJECT CODE: MSCP/Y/0160 UNITI Introduction to Quantum Mechanics Inadequacy of classical mechanics, Operators and expectation values, Hermitian operator, Exchange operator and identical particles, Ehrenfest theorem, Postulates of quantum mechanics, Eigen values and eigenfunctions, Completeness of eigenfunctions, Uncertainty principle. ^ Hermitian and Unitary matrices, Matrix transformation and diagonalization, Construction of unitary matrix, Representation of operators, transformation of operators with unitary matrices, Hilbert’s space, Dirac’s bra and ket notation. Time development of quantum system: Schroedinger, Heisenberg and interaction pictures, One dimensional harmonic oscillator problem in matrix formulation. ^ Angular Momentum Orbital angular momentum, Representation in cartesian and polar coordinates, Commutation relations, General angular momentum, Eigen values and eigenfunctions of L^{2} and L_{z}; J^{2} and J_{z}. ^ Matrix representation of angular momentum operators, Spin angular momentum and Pauli’s matrices, Addition of angular momenta, ClebschGordon coefficients and its calculation for j_{1}= j_{2}= 1/2; j_{1}=1, j_{2}= 1/2, Properties of ClebschGordon coefficients. UNITIII Time Independent Perturbation Theory Time independent perturbation theory for nondegenerate system up to second order perturbation, Physical applications of nondegenerate perturbation theory, The Variation (Rayleigh Ritz ) method with applications to ground state of helium, Zero point energy of one dimensional harmonic oscillator. ^ Time dependent perturbation theory, Transition probability: FermiGolden rule, Harmonic perturbation, Adiabatic approximation, Sudden approximation, Application of time dependent perturbation theory to transition probability for induced absorption and emission, Selection rules. ^ Quantum Theory of ScatteringI The scattering amplitude and cross section, Green’s functions in scattering theory and expression for scattering amplitude, Born Approximation, Condition for validity of Born Approximation, Scattering by a screened Coulomb Potential, Rutherford’s scattering formula from Born Approximation. ^ Scattering by spherically symmetric potentials: Method of partial waves, phase shift, Scattering amplitude in terms of phase shift, Differential and total crosssections, Optical theorem, Relation of phase shift with potential. References:
Delhi
LAB. WORK SUBJECT CODE: MSCP/Y/170
LAB. WORK SUBJECT CODE: MSCP/Y/180
