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

COURSE TITLE | Paper Code | MARKS | ||||

THEORY | PRACTICAL | TOTAL MARKS | ||||

INTERNAL | EXTERNAL | INTERNAL | EXTERNAL | |||

Classical Mechanics | MSCP/Y/110 | 40 | 60 | NA | NA | 100 |

Mathematical Physics | MSCP/Y/120 | 40 | 60 | NA | NA | 100 |

Nuclear Physics | MSCP/Y/130 | 40 | 60 | NA | NA | 100 |

Solid State Physics | MSCP/Y Total diploma marks : 900/140 | 40 | 60 | NA | NA | 100 |

Electronic Devices and Circuits | MSCP/Y/150 | 40 | 60 | NA | NA | 100 |

Quantum Mechanics | MSCP/Y/160 | 40 | 60 | NA | NA | 100 |

Lab. Work | MSCP/Y/170 | NA | NA | 40 | 60 | 100 |

Lab. Work | MSCP/Y/180 | NA | NA | 40 | 60 | 100 |

SEMINAR | MSCP/Y/190 | NA | NA | NA | 100 | 100 |

CLASSICAL MECHANICS SUBJECT CODE: MSCP/Y/110

UNIT I

Lagrangian Formulation

Mechanics of a particle and system of particles, Constraints Total diploma marks : 900 and generalized co-ordinates, 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 Total diploma marks : 900 systems like single particle in space, Atwood’s machine, Bead sliding on rotating wire.

^ Hamiltonian Formulation

Hamilton’s principle, Derivation of Lagrange’s equations from Hamilton’s principle, Hamilton’s equation of motion, Cyclic co Total diploma marks : 900-ordinates and conservation theorems, Derivation of Hamilton’s equations from Variational principle and principle of least action.

^ UNIT II

Canonical Transformation

The equations and examples of Canonical transformations, Harmonic oscillator, Poisson bracket Total diploma marks : 900, 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 Total diploma marks : 900 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 co-ordinates.

References Total diploma marks : 900:

Classical Mechanics (3rd Ed.) - H.Goldstein, Pearson Education

Classical Mechanics (I st Ed.) - N C Rana and P S Joag, Tata McGraw Hill

Classical Mechanics - S L Gupta and V Kumar (Pragati Prakashan)

MATHEMATICAL Total diploma marks : 900 PHYSICS SUBJECT CODE: MSCP/Y/120

UNIT I

Special Functions

Bessel functions: Bessel function of first kind, Generating function, Recurrence relations, Jn(x) as solution of Bessel function , Expansion of J Total diploma marks : 900n(x) when n is half an odd integer; ^ Legendre Polynomial: Generating functions for Pn(x), Recurrence relations and special properties, Pn(x) as solution of Legendre differential equation, Orthogonality of Pn Total diploma marks : 900(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 Total diploma marks : 900 related theorem for Inverse Laplace Transform, Inverse Laplace transforms of derivatives and integrals, Convolution theorem.

^ UNIT II

Gamma and Beta Functions: Definition of beta and gamma function in terms of Euler integrals, Evaluation of Total diploma marks : 900 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 and Transform: Fourier series, Dirichlet conditions, Expansion of Total diploma marks : 900 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 Total diploma marks : 900 wave rectifier, Expansion of Riemann Zeta function.

References:

Mathematical Physics - B S Rajput

Mathematical Physics - B D Gupta

Mathematical Methods for Physicists - Arfken and Weber, Academic Press

Theory and Problems of Laplace Total diploma marks : 900 Tranforms - Murray R Spiegel, Schaum’s Series, McGraw Hill Pub.

NUCLEAR PHYSICS SUBJECT CODE: MSCP/Y/130

UNIT-I

Nuclear Properties

Survey of some nuclear properties, Nuclear radius, Nuclear masses and abundances, Binding energy, Electric and Total diploma marks : 900 magnetic moments and nuclear shapes, Nuclear angular momentum and parity, Nuclear spin, Nuclear moments.

^ Nuclear Forces

Nuclear stability and the forces between nucleons, Deutron problem, n-p scattering at low energies, Scattering length, Spin Total diploma marks : 900 dependence of n-p scattering, Effective range in n-p scattering.

Nuclear Models

Liquid drop model, Semi-empirical mass formula, Magic numbers, Shell model, The collective model.

^ UNIT-II

Nuclear Reactions

Types of nuclear reactions Total diploma marks : 900, Reaction cross-section, Conservation laws, Q-values and its significance, Breit-Winger formula, Compound nucleus, Optical model, Direct reactions.

Radiation Detectors

Interaction of radiation with matter, G.M. counter: Basic principle, working Total diploma marks : 900, 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 Total diploma marks : 900 detectors: Basic principle, Construction and working of Si Surface barrier, Lithium drifted and high purity Germanium detectors.

References:

Introductory Nuclear Physics - K.S.Krane

Nuclear Physics - Roy and Nigam (9th Edition Total diploma marks : 900), New Age Int.

Nuclear Physics - Irving Kaplan (2nd Edition), Narosa Pub.

Introductory Nuclear Physics - K S Krane, John Wiley

Nuclear Physics - D C Tayal, Himalaya Publication

Radiation Detectors - S S Kapoor

SOLID STATE PHYSICS Total diploma marks : 900 SUBJECT CODE: MSCP/Y/140

UNIT-I

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 Total diploma marks : 900 simple cubic, bcc, fcc lattices. Origin of X-rays, Bragg’s law, Laue method, Powder method and Rotating crystal method,

^ Free Electron Theory of Metals

Classical free electron theory, Drawbacks of Classical Theory, Relaxation Total diploma marks : 900 time, Collision time and Mean free path, Quantum theory of free electrons, Fermi-Dirac Statistics and Distribution of Electrons in Solids, Effect of Temperature on F-D Distribution, Free Electron Gas Total diploma marks : 900 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- Wiedemann-Franz Law.

^ UNIT-II

Band Theory of Solids

Introduction Total diploma marks : 900, 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 Kroning-Penney Model, The motion Total diploma marks : 900 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 Total diploma marks : 900 I and Type II Superconductors, Thermal Properties of Superconductors, Magnetic Penetration Depth, Coherence Length., Ginzburg-Landau Coefficient, Isotope Effect, Thermodynamics of the superconducting transitions, London equation, Flux Quantization, Josephson Superconductor Tunneling Total diploma marks : 900, dc Josephson Effect, ac Josephson Effect, Applications of superconductors, High Temperature superconductors.

References:

Introduction to Solid State Physics - Kittel C (Wiley, INDIA)

Solid State Physics - Pillai S O (New Age Int.)

Solid State Total diploma marks : 900 Physics - Kachhava C M (Tata McGraw Hill)

Science of Engineering Materials - Srivastava C M and Srinivasan C

Solid state physics - Gupta, Sexsena & Gupta

Elementary solid state Physics - M. Ali.Omar

ELECTRONICS DEVICES AND CIRCUITS Total diploma marks : 900 SUBJECT CODE: MSCP/Y/150

UNIT-I

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 Total diploma marks : 900 Bias.

^ Bipolar Junction Transistor Amplifiers: Amplifier Operation, AC Equivalent Circuit, Common-Emitter Amplifier, Common-Collector Amplifier, Common-Base Amplifier.

UNIT-II

Field Effect Transistor & its Biasing: JFET Structure, Basic Operation, JFET Characteristics and Parameters, JFET Total diploma marks : 900 Biasing, MOSFET Structure & Operation, MOSFET Characteristics and Parameters.

^ Field Effect Transistor Amplifiers: FET Amplification, Common-Source Amplifier, Common-Drain Amplifier, Common-Gate Amplifier.

UNIT-III

Two Terminal Devices: Schottky (Hot-Carrier Total diploma marks : 900) Barrier Diodes, Varactor (Varicap) Diodes, Power Diodes, Tunnel Diodes, Photodiodes, Thermistors.

^ Thyristors and Other Devices: Basic 4-layer device, Silicon controlled rectifier (SCR), SCR applications: on-off control of current, half wave power control, SCR Total diploma marks : 900 crowbar, Difference between power FET and SCR, DIAC, TRIAC, TRIAC phase control application, Silicon controlled switch (SCS), Uni-junction transistor (UJT).

^ UNIT-IV

Operational Amplifiers: Introduction, Basic Information of Operational Total diploma marks : 900 Amplifier, Ideal Operational Amplifier, Inverting and Non-Inverting Amplifier, Differential Amplifier, Common Mode Rejection Ratio (CMRR), Emitter Coupled Difference Amplifier.

^ Operational Amplifier Characteristics: Introduction, DC Characteristics, Input Bias Current, Input Offset Current, Input Total diploma marks : 900 Offset Voltage, Total Output Offset Voltage, Thermal Drift, Slew Rate.

References:

Electronic Devices - Floyd, 6th Ed, Pearson Education

Electronic Devices & Circuit Theory - Boylestad, 9th Ed, Pearson Education

Integrated Electronics - Millman & Halkias, TMH

Electronics Principles Total diploma marks : 900 - Malvino, TMH

Linear Integrated Circuits - Choudhuri & Jain, New Age Int

QUANTUM MECHANICS SUBJECT CODE: MSCP/Y/0160

UNIT-I

Introduction to Quantum Mechanics

Inadequacy of classical mechanics, Operators and expectation values, Hermitian operator, Exchange operator and identical particles Total diploma marks : 900, Ehrenfest theorem, Postulates of quantum mechanics, Eigen values and eigenfunctions, Completeness of eigenfunctions, Uncertainty principle.

^ Matrix Algebra

Hermitian and Unitary matrices, Matrix transformation and diagonalization, Construction of unitary matrix, Representation of operators, transformation Total diploma marks : 900 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.

^ UNIT Total diploma marks : 900 II

Angular Momentum

Orbital angular momentum, Representation in cartesian and polar coordinates, Commutation relations, General angular momentum, Eigen values and eigenfunctions of L2 and Lz; J2 and Jz.

^ Matrix Representation

Matrix representation of angular momentum Total diploma marks : 900 operators, Spin angular momentum and Pauli’s matrices, Addition of angular momenta, Clebsch-Gordon coefficients and its calculation for j1= j2= 1/2; j1=1, j2= 1/2, Properties of Clebsch-Gordon coefficients.

UNIT-III

Time Independent Perturbation Total diploma marks : 900 Theory

Time independent perturbation theory for non-degenerate system up to second order perturbation, Physical applications of non-degenerate perturbation theory, The Variation (Rayleigh -Ritz ) method with applications to ground Total diploma marks : 900 state of helium, Zero point energy of one dimensional harmonic oscillator.

^ Time Dependent Perturbation Theory

Time dependent perturbation theory, Transition probability: Fermi-Golden rule, Harmonic perturbation, Adiabatic approximation, Sudden approximation, Application of time dependent perturbation Total diploma marks : 900 theory to transition probability for induced absorption and emission, Selection rules.

^ UNIT-IV

Quantum Theory of Scattering-I

The scattering amplitude and cross section, Green’s functions in scattering theory and expression for scattering Total diploma marks : 900 amplitude, Born Approximation, Condition for validity of Born Approximation, Scattering by a screened Coulomb Potential, Rutherford’s scattering formula from Born Approximation.

^ Quantum Theory of Scattering-II

Scattering by spherically symmetric Total diploma marks : 900 potentials: Method of partial waves, phase shift, Scattering amplitude in terms of phase shift, Differential and total cross-sections, Optical theorem, Relation of phase shift with potential.

References:

Quantum mechanics (3rd edition) - L Total diploma marks : 900 I Schiff, McGraw Hill

Introduction to quantum mechanics - Richard Liboff, Pearson Education

Quantum mechanics - A K Ghatak and S Loknathan, McMillan Publ

Quantum mechanics - J L Powell and B Crasemann, Narosa, New

Delhi

Quantum mechanics - M P Total diploma marks : 900 Khanna, Har-Anand Publ Delhi

Quantum Mechanics (third edition) - Eugen Merzbacher

LAB. WORK SUBJECT CODE: MSCP/Y/170

Study of transistor amplifier (RC coupled) cum feedback amplifier.

Study of power supply (solid state).

Study Total diploma marks : 900 of modulation and demodulation with built in carrier frequency.

Study of an integrated circuit regulator.

Determination of temperature coefficient of junction voltage and energy band gap.

Study of basic Operational Amplifier.

Study Total diploma marks : 900 of characteristics of Semiconductor diode.

Determination of reverse saturation current Io and material constant η.

To determine dead time of a given G.M. Counter.

To determine energy of the pure β-emitter using G.M. Counter Total diploma marks : 900 and Al absorbers.

LAB. WORK SUBJECT CODE: MSCP/Y/180

To study the propagation loss in optical fiber.

To study the bending loss in optical fibers.

To measure the numerical aperture (NA) of Total diploma marks : 900 the fiber.

Estimation of splice loss due to misalignment at a fiber joint.

Construction of some simple intensity modulated fiber optic sensors for measurement of pressure.

To calculate the Total diploma marks : 900 wavelength of laser light by double slit.

To determine grating element of a given diffraction grating.

To measure the angle of the wedge of a transparent plate using He-Ne leaser.

To determine the Total diploma marks : 900 wavelength of laser light with a transmission grating.

To measure the wavelength of He-Ne laser light with a vernier caliper.

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