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OPJS UNIVERSITY, CHURU(RAJASTHAN) Syllabus For · PDF fileOPJS UNIVERSITY, CHURU(RAJASTHAN) Syllabus For ... MSPH-103 Quantum Mechanics & Molecular Physics III 100 ... LI.Schiff, quantum

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    M.Sc. Physics (Previous & Final)



    School of Science



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    M. Sc. Physics (First Year)

    S.No. Paper Code Paper Name Number of Papers


    1. MSPH-101 Classical & Statistical Mechanics I 100 2. MSPH-102 Electrodynamics & Plasma Physics II 100 3. MSPH-103 Quantum Mechanics & Molecular Physics III 100 4. MSPH-104 Electronics, Computation Method &

    Programming IV 100

    5. MSPH-105 Practical & Viva Voce ---- 200

    M. Sc. Physics (Final Year)

    S.No. Paper Code Paper Name Number of Papers


    1. MSPH-201 Condensed Matter Physics V 100 2. MSPH-202 Nuclear & Practical Physics VI 100 3.


    MSPH-203(B) MSPH-203(C)

    Elective - I (Select One From 203 A-C) -Advanced Quantum Mechanics & Introductory Quantum Field Theory -Atomic & Molecular Physics -Quantum Electrodynamics & Quantum Many Body Physics

    VII 100

    4. MSPH -204 (A) MSPH -204 (B) MSPH -204 (C) MSPH- 204 (D) MSPH -204 (E) MSPH- 204 (F) MSPH- 204 (G) MSPH- 204 (H)

    Elective - II (Select One From 203 A-H) -Microwave Electronics -Solid State Physics -Plasma Physics - Atmospheric Silence & Environmental Physics - High Energy Physics - Informatics (Material & Data Communication - Science & Technology Of Solar, Hydrogen Energy & The Renewable Energies - Physics Of Lasers & Properties Of Biomolecules

    VIII 100

    5. MSPH- 205 Practical & Viva-Voce ------- 200


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    Details of Syllabus

    M. Sc. Physics (First Year)

    Paper-I-Classical And Statistical Mechanics & Mathematical Physics.


    Satellites transformations. Rotating frames; inertial forces; terrestrial and astronomical

    application of coriolis force. Centre force; definition and characteristics Constrains; their

    classification ,D, Alemberts principle, generalized coordinates. Lagranges equations;

    gyroscope forces; dissipative system; Jacobi integral; gauge invariance; generalized

    coordinates and momenta; integrals of motion forces; symmetries of space and time which

    conservation laws; invariance under Galilean ; Two-body problem; closure and stability of

    circular orbits; general analysis of orbits; keplers laws and equation; artificial Rutherford

    scattering. Priciple of least action; derivation of equation of motion; variation and end

    points; Hamiltons principle and characteristics functions; Hamilton Jacohi equation.

    Canonical transformation; generating function; properties; group property, example;

    infinitesimal generators; Poisson bracket; Poisson theorems; angular momentum PBs; small

    oscillations; normal modes and coordinates.


    Orthogonal and curvilinear co-ordinate system, scale factors, expressions for gradient,

    divergence and curl and their applications to Cartesian, cylindrical and spherical polar co-

    ordinate system. Co-ordinate transformation, of covariant contravalant and mixed tensor

    addltion, multiplication and contraction of tensors, quotient law, pseudotensors. Metric

    tensor, its use in transformation of Tensor, Vector spaces and matrics; Linear independence;

    Bases; Dimentsionality; Inner product; Linear Orthogonal and elgenvectors;

    Diagonalization; Complete Orthonormal sets of functions. Differential Equation and special

    function; sulotion by series expansion; Legendre, Bessel, Hermite and Lagaurre equation;

    Physics applications; Generating functions; recurrence relations

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    Integral Transforms; Laplace transform; First second shifting theorems; inverse

    LT by partial fraction; LT, derivative and integral of a function; fourier integral and

    transform; F T of delta functions.


    Foundation of statistical mechanics specification of states of a system, contact between

    statistics and thermodynamics, classical ideal gas, entropy of mixing and Gibbs paradox.

    Microc canonical ensemble, phase space, trajectories and density of states, liouviilles

    theorem and grand canonical , canonical ensembles; partition function. Density matrix,

    statistics of ensembles, statistical of indistinguishable practicals, Maxwell - Boltzman,

    Fermi-Dirac, and Bose-Elnstein statistics, properties of ideal Bose and Fermi gases, Bose-

    Enstien condensation. Cluster expansion for a classical gas, Virail equation of state, Ising

    model, mean-field theories of the ising model in three,two and one dimentsions Exact

    solution in one-dimension. Landau theory of phase transition, indices, scale transformation

    and dimensional analysis.

    Text and Reference Books:

    1. Mathematical Methods for physics,by G Arfkef

    2. Matrices and Tensors for physicists, by A W Joshi 3. Advanced Engineering Mathematics. By E Kreyzing 4. Special Functions, by E D Rainville 5. Special functions, by W W Bell 6. Mathematical Methods fpr physics and Engineering by FK F Reily,

    M P Hobson and S js Bence.

    7. Mathematics and physics, by MarryBoas 8. Statistical and Thermal physics, by F Rief 9. Statistical Mechanics, by K Huang 10. Statistical Mechanics, by R k Patharia 11. Statistical Mechanics, R kubo


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    Paper-II -Elctrodynamics And Plasma Physics


    Electrostatics: Electric field; Gauss law, Differential form of Gauss law. Another

    equation of electrostatics and the scalar potential, surface distribution of charges and

    dipoles and discontinuities in the electric field and potential, Poisson and- Laplace

    equations, Greens Theorem, Uniqueness of the solution with dirichlet or Neumann

    Boundary conditions, formal solution of electrostatics boundary value problem with

    Greens functions, electrostatics potential energy and energy density, capacitance.

    Boundaryvalue problems in electrostatics: methods of Images, point charge in the

    presence of a grounded conducting sphere point charge in the presence of a charge

    insulated conducting sphere, point charge near a conducting sphere at fixed potential,

    conducting sphere in a uniform electric field by method of images, Green function for

    the sphere, General solution for the potential, Conducting sphere with Hemispheres at

    different potemtail. Multipoles Electrostatics of Macroscopic Media Dielectrics:

    Multipole Expansion, multipole expansion of the energy of a charge distribution in an

    external field, Elementary treatment of electrostatics with permeable media, boundary

    value problems with dieletrisc. Molar polarizabilty, and electric susceptibility, Models

    for molecular polarizability, Electric susceptibility, Modles for molecular polarizability,

    Electronic energy in dielectric media.


    Magnetostatics: Vector potential and magnetic induction for a circular current pool,

    magnetic field of a localized current distribution, magnetic moment, force and torque on

    and energy of a localized distribution in an external magnetic induction, spherical shell

    of permeable material magnets, magnetic shielding spherical shell of macroscope

    equations,problems in magnetostatics, Uniformly magnetized sphere,magnetized sphere

    in an external fieldpermanent magnets, magnetic shielding, permeable material in a

    uniform field. Maxwells equations conservation laws: Energy in a magnetic field,

    vector gauge, Green function for the transformation, Lorentz gauge, Coulombs gauge,

    Green function for the wave equation, Derivation of the equation of macroscopic

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    Electromagnetism, polynting is theorem and conservation of energy and momentum for

    a system in of charged particles and EM fields. Conservation laws for macroscopic


    Plane Electromagnetic wave and wave Equation; plane wave in a non-conducting

    medium, frequency dispersion characteristics of dielectrics conductors and plasma,

    waves in a conducting or dissipative medium, superposition of wave in one dimension,

    group velocity, casualty connection between D & E. Kramers-kroning relation. Review

    of four- vector and Lorentz Transformation in four- Dimensional Space, Electromagnetic

    field tensor in four Dimension and Maxwells Equation. Dual field tensor, wave

    Equation for vector and Scalar potential and Solution Retarded potential and Lienard-

    wiechart potential.


    Electric and magnetic field due to a uniformly moving charge and an accelerated charge,

    linear and circular Acceleration and Angular distribution of power Radiated

    Bramsstrahlung, synchrotron radiation and Cerenkov Radiation, reaction fortce of

    Radiation. Motion of charge particle in electromagnetic field; uniformly E and B fields

    non-uniformly fields, Diffusion Across Magnetic fields. Time varying E and B fields,

    Adiabatic Invariants; first Second Third Adiabatic Invariants.Plasma physics elementary

    concepts; Derivation of moment equations from Boltzmann equation, plasma oscillatios,

    Debye Shielding, plasma parameters, Magneloplasma, plasma confinement,

    Hydrodynamical description of plasma: fundamental. Hydromagnetic waves:

    magnetosonic and Alfven waves. Waev phenomena magnetoplasma: polarization,phase


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