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July 4th, 2014, 09:04 AM
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Avadh University Syllabus

Will you please provide the M.Sc Syllabus of Dr. Ram Manohar Lohia Avadh University?

Dr. Ram Manohar Lohia Avadh University was established in the year 1975 . M.Sc is a two year and four semester degree course.

M.Sc Syllabus
SEMESTER I

PH 101: Mathematical Physics
PH 102: Quantum Mechanics - I
PH 103: Semiconductor Devices & Circuits
PH 104: Solid State Physics- I
PRACTICAL-I: Electronics Devices and Circuit Lab

SEMESTER II
PH 201: Numerical Analysis And FORTRAN Programming
PH 202: Quantum Mechanics -II
PH 203: Thermodynamics And Statistical Mechanics
PH 204: Solid State Physics-II
PRACTICAL-II: General Physics and Computer Programming Lab

SEMESTER III
PH 301: Nuclear Physics-I
PH 302: Classical Electrodynamics
PH 303: Integrated and Digital Electronics
PH 304: Electronics Communication Principles 70+30
PRACTICAL-III: Integrated Circuit And Communication Lab

SEMESTER IV
PH 401: Nuclear Physics-II
PH 402: Atomic And Molecular Physics
PH 403: Microprocessor And Computer Organization
PH 404: Laser And Optical Communication
PRACTICAL-IV: Microprocessor and Digital Electronics Lab

M.Sc. Previous – First Semester
PAPER-I: PH 101 MATHEMATICAL PHYSICS
Complex variable: Complex Variable & Complex Functions. Cauchy integral theorem,
Cauchy's integral formula, Evaluation of integrals by Contour integral, Residues,
Cauchy's residue theorem, Evaluation of integrals by residues methods.

Laplace and fourier transforms: Laplace transforms of various functions, Laplace
transform of derivatives and integrals, Convolution Theorem, Laplace transform of
certain special functions, Inverse Laplace transforms, Fourier transform, Application of
Fourier transforms.

Green function: Green Function, Green Function for one dimensional case, Properties of
Green function, Solution of inhomogeneous differential equation using Green Function.
Green Function for ∇2 operator, Solution of three dimensional Helmholtz equation

References:
1. Mathematical Physics by B.S.Rajpoot Pragati Prakashan
2. Mathematical Methods for Engineers: Morganeau and Murphy
3. Mathematical Physics: B. D. Gupta
4. Mathematical Physics: P. P. Gupta
5. Integral Transform: P. P. Gupta

PAPER- II: PH 102: QUANTUM MECHANICS - I
Matrix formulation and theory of angular momentum: Bra and Ket Notation, Matrix
form of wave function, Matrix representation of observable, Change of basis. Equation of
motion in Matrix form, Schrodinger, Heisenberg and interaction representation. Matrix
theory of linear harmonic oscillator and general proof of uncertainty principle in Matrix
mechanics. Angular momentum operators, Commutation relation of angular momentum,
Ladder operators, Addition of Angular momenta, Clebsch-Gordon Coefficients (j1=1/2,
j2=1/2 and j1=1, j2=1/2), Pauli matrices.

Klein-Gorden and Dirac equation: K.G. equation, Plane wave solution of Dirac
equation. Negative energy states and prediction of positron, Spin and Intrinsic magnetic
moment of Dirac electron.

Second quantization of fields: Quantization of non-relativistic Schrodinger equation,
Second quantization of Klein-Gordon, Dirac and em field (Lorentz guage), The number
representation, creation and annihilation operators and simple problems on algebra of
annihilation and creation operators, Fock space representations.

REFERENCES: -
1. Quantum Mechanics by L. I. Schiff
2. Quantum Mechanics by Pauling & Wilson
3. Quantum Mechanics by B. K. Agrawal
4. Quantum Mechanics by Merzbacher
5. Quantum Mechanics by Ghatak & Lokanathan

PAPER III: PH 103: SEMICONDUCTOR DEVICES & CIRCUITS
Bipolar Junction Transistors: Transistor action, configurations and characteristics,
current gains, h-parameters and analysis of transistor amplifier using h-parameter, inter
conversions in different configuration, thermal instability and bias stabilization, cascaded
transistors.

Multistage Amplifiers: BJT at high frequencies, frequency response of RC coupled
amplifiers and transformer coupled amplifier.

Power Amplifiers: Classification of amplifiers, transformer coupled class- A power
amplifier, efficiency and crossover distortion, class- B push pull amplifier, single tuned
and double tuned amplifier.
Classification of feedback amplifiers, effect of negative feedback, stability and response
of feedback amplifiers,

Oscillators: General theory of operation, Phase Shift, Wien’s Bridge, Hartley, Collpit and
Crystal Oscillators.

References:
1. Electronic Devices & Circuits: Mottershed
2. Electronic Devices & Circuits: Milliman and Halkias
3. Solid state Electronic devices: B. G. Streetman
4. Functional Electronics: Ramnan

PAPER- IV: PH 104: SOLID STATE PHYSICS- I
Optical Properties and Imperfection in Solids: Basic Theories and models of
luminescence, phosphorescence, thermoluminescence, electroluminescence and photoconductivity.

Point Defects: Schottky defects and Frenkel defects. Colour centers: Trapped electron
(F) Center, Trapped hole (V) Center. Exciton: Frenkel Exciton and Mott – Wannier
Exciton.

Lattice Vibration: Normal modes of monoatomic and diatomic chains, Optical and
Acoustic modes, Quantization of Lattice Vibrations.

Free Electron Theory of Metals: Free electron model, some features of electrical
conductivity of metals, Density of states, free electron gas at 0K, Electron heat capacity,
Lorentz modifications to Drude model, Sommer field theory of electrical conduction and
Hall Effect.

Energy Bands: The Bloch theorem, The Kroning-Penney Model (Energy bands in
general periodic potential).Motion of electron in one dimension. Insulator, Semiconductor
& Metals. Tight binding approximations, Brillioun zones.

References:
1. Solid state Physics by A-J.Dekkar (McMillan and Co., London)
2. Introduction to Solid State Physics by C.Kittel (Wiley Eastern, New Delhi)
3. Elementary Solid State Physics: Principle and Application by Omar Ali (Addison
Wesley, London).
4. Solid State Physics by R.Kubo and T.Nagamiya (McGraw Hill, New York).
5. Electrons and Phonons by J.M.Ziman (Oxford University Press, London).
6. Solid State Theory by W.A. Harrison (McGraw Hill, New York).

M.Sc. Previous – Second Semester
PAPER-I: PH 201: NUMERICAL ANALYSIS AND FORTRAN PROGRAMMING
Introduction To Computer Languages: FORTRAN Language and Programming: flow
charts, FORTRAN constants and variables, Arithmetic expressions, Input-Output
Statements, Simple programs, Control statement, Looping, Arrays, elementary FORMAT
specification, Logical expressions, Functions and subroutines..

Numerical Methods I: Computer Arithmetic, Iterative methods for finding roots of a
Polynomial, Interpolation techniques, Linear regression and polynomial curve fitting.
Numerical Methods II: Simultaneous equations solving, Matrix manipulation, Eigen
values computations, Numerical Integration and Differentiation, Solution of Differential
equations.

References:
1. Numerical Analysis by Balguruswamy.
2. Numerical Analysis by Harper.
3. Text book of Numerical Analysis by H.S. Sharma, G.C. Sharma and S.S. Choudhary
(Ratna Prakashan Mandir, Agra).

PAPER-II:PH 202: QUANTUM MECHANICS -II
Approximation methods: Time independent perturbation theory for nondegenerate case.
Application to anharmonic oscillator problem and normal Helium atom. Perturbation
theory for degenerate case and its application to Zeeman effect, Variation method and its
application to He atom and one dimensional harmonic oscillator of unit mass. The time
dependent perturbation theory, Transition probability, Fermi-Golden rule, Application to
semiclassical theory of radiation, Selection rules, WKB method, Application to potential
barrier penetration problem (alpha decay).

Scattering theory: Scattering Cross-section, quantum mechanical description, Expansion
of plane wave in spherical harmonics (Partial wave analysis), scattering by spherically
symmetric potentials, Born approximation, Validity of Born's approximation, Scattering
from three-dimensional square well and screened coulomb potential.

Identical particles: Indistinguishability of identical particles and exchange energy,
Permutation Symmetry and Symmetrization postulates, Self- consistent field
approximation (Hartee method), Slater determinant, Hartee-Fock method, Application of
two electron systems e.g. hydrogen molecule and He atom(excited).

REFERENCES: -
1. Quantum Mechanics by L. I. Schiff
2. Quantum Mechanics by Pauling & Wilson
3. Quantum Mechanics by B. K. Agrawal
4. Quantum Mechanics by Merzbacher
5. Quantum Mechanics by Ghatak & Lokanathan

PAPER-III: PH 203 THERMODYNAMICS AND STATISTICAL MECHANICS
Thermodynamics: Entropy and probability; Thermodynamic potentials - Helmholtz,
Gibbs, Enthalpy and Internal energy; Equilibrium conditions for an isolated system; Third
law of thermodynamics.
Thermodynamics of first and second order phase transistion, Clausius-Clapeyron and
Ehrenfest's equations; Chemical potential and phase equilibria.
Ideal gas in microcanonical, Canonical and Grand canonical ensembles, Gibbs paradox
and its resolution, Sackur-Tetrode relation.

Formulation of quantum statistics: Quantum ensemble theory, Statistics of various
ensembles, Density matrix and partition function, Application to a linear harmonic
oscillator and a free particle in a box.

Bose & Fermi Systems: Bose & Fermi distribution functions, Quantum theory of ideal
gas, Bose-Einstein condensation, Derivation of Planck’s formula, Thermionic and
Photoelectric emission.

Phase transition & Brownian motion: First and second order phase transition, (Order
parameters and Landau theory of Phase equilibrium), Fluctuations and Thermodynamic
Properties, Brownian motion (Langevin Theory)

References:
1. A Treatise on Heat by M.N.Saha and B.N.Srivastava (Indian Press Limited, Allahabad)
2. Thermodynamics for Chemistis by S.Glasstone (John Wiley, New York)
3. Thermal Physics by C.Kittel (John Wiley, New York 1969)
4. Statistical Mechanics by B. K. Agarwal and Melvin Eisner (Wiley Est. Ltd., Delhi)
5. Statistical Mechanics and Properties of Matter by E.S.R. Gopal (Macmillan Ltd.,
Delhi)
6. Introduction to Statistical Mechanics by B. B.Laud (Macmillan Ltd., Delhi)
7. Fundamentals of Statistical Mechanics by-F. Rief
8. Statistical Mechanics by- R. K. Patharia
9. Statistical Mechanics by- K. Huang

PAPER-IV: PH 204: SOLID STATE PHYSICS-II
Magnetic Properties of Materials: Para-magnetism, Langevin theory of paramagnetism,
Weiss Theory , Quantum theory of Paramagnetism, Ferromagnetism, Spontaneous
magnetization, Quantum theory of Ferromagnetism, Weiss molecular field,
Ferromagnetic domain & domain theory, Curie – Weiss law, Antiferro and
Ferrimagnetism, Ferrites.

Dielectrics and Related Properties: Dielectrics and Gauss theorem, Dielectric constant
and polarizability: Electronic Polarization, Ionic Polarization and Orientations
Polarization, Langevin theory of Polarization in Polar Dielectrics, Internal fields in
Liquids and Solids, Clausius Mosotti relation, Lorentz – Lorentz formula,
Ferroelectricity, Dielectrics in Alternating field & Dielectric Loss.

Super Conductivity: Basic Phenomenology and mechanism, Effect of magnetic field,
Meissner effect, Thermal properties and energy gap, Isotope effect, Type I and Type II
Superconductor, Superconductors in AC fields, Thermodynamics of Superconductors,
BCS Theory, BCS Pairing mechanism, Josephson Effect.

References:
1. Solid state Physics by A-J.Dekkar (McMillan and Co., London)
2. Introduction to Solid State Physics by C.Kittel (Wiley Eastern, New Delhi)
3. Elementary Solid State Physics: Principle and Application by Omar Ali (Addison
Wesley, London).
4. Solid State Physics by S.O Pillai
5. Solid State Physics by R.Kubo and T.Nagamiya (McGraw Hill, New York).
6. Solid State Theory by W.A. Harrison (McGraw Hill, New York).

M.Sc. Final – Third Semester
PAPER I: PH 301: NUCLEAR PHYSICS-I
Nuclear Forces: Binding Energy, Saturation of nuclear force, Central and Non-central
force, Spin dependent and exchange force, Von Weizsacker mass formula, Meson-theory
of nuclear force, Mass parabola, Deuteron problem, Quadrupole moment of Deuteron,
Scattering length, Determination of phase shift, Coherent scattering of slow neutrons,
shape independent effective range theory, proton-proton scattering, Neutron-proton
scattering at low energies.

Nuclear Models: Liquid drop model, Theory of fission, Bohr –Wheeler theory of
fission, Experimental evidence of shell effects, Shell model, Independent particle model,
Harmonic oscillator model, Spin orbit-interaction and explanation of magic number,
Schmidt limits, Collective model, Vibrational states, Rotational states.

Particle Accelerators: Linear accelerators, Cyclotron and Betatron.
References: -
1. Nuclear Physics By- D. C. Tayal
2. Nuclear Physics By- Evans
3. Nuclear Physics By- Roy and Nigam

PAPER II: PH 302: CLASSICAL ELECTRODYNAMICS
Four Dimensional Formulation: Four vectors, Intervals, Contravariant, Covariant,
Metric, Pseudo and dual tensors, Lorentz transformation equations in 4d (not derivation)
Dynamics of Charge Particle In EM Fields: Lagrangian of a free particle, Velocity,
Momentum, Electromagnetic potential in 4d space, Motion of a charge particle in a
constant uniform electric field, Magnetic field and EM field, EM field tensor, Lorentz
transformation of the field, Invariants of the field.

Fundamental Equations Of Electrodynamics :Covariant form of first and second pair
of Maxwell field equation, Lagrangian of the em field, current four- vector, equation of
continuity, Energy- momentum tensor of em field particles, Particles and em field.

Radiation From A Moving Charge: Solution of inhomogeneous wave equation,
Invariant of Green’s functions, Lienard- Wiechart potentials and fields from a moving
point charge, Larmour’s formula and its relativistic generalization, Angular distribution of
radiation emitted by an accelerated charge particle.

REFERENCES
1-The classical theory of fields by L. D. Landan and E. M. Lifshitz.
2- Introduction to the classical electrodynamics by J. D. Jackson
3- Introduction to the Quantum Field theory by F. Mandal

PAPER III: PH 303: INTIGRATED AND DIGITAL ELECTRONICS
Operational Amplifiers: Introduction to Operational amplifier, Basic parameters,
Inverting and Non-inverting amplifier, Applicability of Op-Amp in Analog computation:
Solution of simultaneous and differential equation, Op-Amp as voltage follower, Adder,
Subtractor, Integrator, Differentiator, logarithmic amplifier, Antilog amplifier, Analog
multiplier & Divider circuit, RMS circuit.
Active filters( low pass & high pass of 1st & 2nd order), Comparator, Mutivibrator,
Schmitt trigger, Sample and hold circuit, triangular wave generator, Voltage Controlled
Oscillator, Phase locked loop(PLL) and its Application, A/D and D/A converter circits,
555 Timer..

Arithmetic Logic Operations And Circuits: Binary addition & substraction, Half adder,
Full adder, Half Subtractor, Full Subtractor, Controlled Inverter and Adder-Subtracter,
Data processing circuits: Multiplexers, Demultiplexers, Encoder and Decoder (1 of 16
Decoder, BCD Decoder and LED Decoder).

Flip-flop: R-S, D, T, J-K and J-K Master slave flip-flops. Asynchronous, Synchronous
and Mod counters. Serial, parallel shift registers and counters.

References:
1. Integrated Electronics by – Millman & Halkias
2. OPAMP and Linear Integrated Circuits By- R.A.Gayakwad
3. Linear Integrated Circuits By- Choudhary and Jain
4. Op. Amp and Linear Integrated circuit by Coughlin and Driscoll.
5. Digital Principle & Application By-Malvino Leach
6. Modern Digital Electronics By- R.P.Jain
7. Digital Electronics By Floyd
8. Digital Electronics By Goathmann
9. Digital Electronics By Tocci

For detailed information , here is the attachment

Contact:
R M L Avadh University
NH96, Faizabad, उत्तर प्रदेश 224001 ‎
05278 245 957

Map:
Attached Files
File Type: pdf M.Sc Syllabus.pdf (235.7 KB, 99 views)

Last edited by Neelurk; February 8th, 2020 at 11:32 AM.
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  #2  
February 12th, 2017, 07:15 PM
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Re: Avadh University Syllabus

Will you please provide the M.Sc math Syllabus of Dr. Ram Manohar Lohia Avadh University?
MSC MATH SYLLABUS AND FIVE YEARS PREVIOUS PAPER


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