6th Semester
PHY-502 Methods of Mathematical Physics-II 3 (3 – 0)
Fourier Analysis, Fourier cosine and sine series, change of interval, Fourier integral, complex form of Fourier series, Fourier transform, Fourier transform of derivatives, Laplace transform, Inverse Laplace Transform, Convolution theorem, Initial boundary value problem, Laplace transform of derivatives. Physical significance along with examples of Fourier and Laplace transforms. Special functions, Hermite, Laguerre, Legendre and associate Legendre polynomial. Bessel function, Neumann function, and spherical Bessel function, Gamma function. Nonhomogeneous equations- Green’s function, Green’s function in terms of Eigen-function, the Sturm-Liouville problem, Green’s function for Dirac Delta functions,Recommended Books:
1. Arfken G.B and H.J Weber, F.E Harris, 2012, 7th Edition, Mathematical Methods for Physicists, A. Press, New York.
2. Dass H.K, R. Verma, 2011, 6th Edition, Mathematical Physics, S. Chand& Company Ltd. New Delhi.
3. Kreyszig E. 2011, 10th Edition, Advanced Engineering Mathematics. Wiley, New York.
4. Collins R.E, 2011, 2nd Edition, Mathematical Methods for Physicists and Engineers, Dover Publications.
5. Tang K.T, 2010, 2nd Edition, Mathematical Methods for Engineers and Scientists 2, Springer.
6. Spiegel M.R 2009, 1st EditionAdvanced Mathematics for Engineers and Scientists, Schaum’s outlines series, McGraw Hill.
7. Riley K F, M P Hobson and S J Bence. 2006, 3 rd Edition, Mathematical Methods for Physics and Engineering, Cambridge University Press, Cambridge.
PHY-504 Quantum Mechanics-I 3 (3 – 0)
Review of concepts of classical mechanics, The state of a system, Dynamical variables and operators, Linear vector space, orthogonal systems, linear transformations, matrices, change of basis, Hilbert space, Commuting and noncommuting operators, Heisenberg uncertainty relations, Functions and expectation values, Dirac notation, Hermitian operators, Symmetry principles and conservation laws, Orbital angular momentum, Spin, The eigenvalues and eigen functions of L2 and Lx, Matrix representation of angular momentum operators, Addition of angular momenta. Properties of one dimensional potential functions, Solutions of Schrödinger equation for free particles, the potential barrier problems, The linear harmonic oscillator, Particle in a box. Schrödinger Equation in Three Dimensions, Separation of Schrodinger equation in Cartesian coordinates, Central potentials, The free particle, Three dimensional square well potential, The hydrogen atom, Three dimensional isotopic oscillator.Recommended Books:
1. Zettli N. 2009, Quantum Mechanics Concepts and applications. J Willy.
2. Bransden B H and Joachain C J. 1990, Introductory Quantum mechanics. Longman Scientific & Technical London.
3. Greiner W.1980, An Introduction Quantum Mechanics. Addison Wesley Publishing Company, Reading Massachusetts.
4. Liboff, R.L. 1980. “Introductory quantum Mechanics”, by Addison Wesley Publishing Company
PHY-506 Nuclear Physics-I 3 (3 – 0)
Nuclear mass, size, nuclear spin, Nuclear Binding energy, magnetic dipole moments, electric quadruple moments, parity and statistics. Observed phenomenon of radio activity, explanation of α-decay: Absorption, Range, Ionization and Stopping power of alpha particles, theory of alpha decay, Fermi theory of β-decay, theory of γ-decay, energetic of γ-decay, Nuclear isomerism, Internal conversion, Mossbauer Effect, Yukawa meson theory of nuclear forces, properties of nuclear forces, n-p and p-p scattering at low energies. Passage of charged particles through matter, Ionization chamber, proportional counter, GM counter, scintillation counter, semi-conductor detector, bubble chamber. Linear accelerator, van de Graff generator, Synchrocyclotron, proton synchrotron, betatron, photographic emulsion.Recommended Books:
1. Zhang, Z..M, B.K. Tsai and G. Machin. 2010. Experimental Methods in Physical Science Vol. 2, Academic Press, USA.
2. Alejandro Garcia and Ernest M. Henley, (2007). Subatomic Physics, by publisher: World Scientific Publishing.
3. B R Martin, 2006. Nuclear and Particle Physics, publisher: New York: Wiley
4. David, W.I.F., K. Shankland, L.B McK usker and C. Baerloche. 2006. Structure Determination from Powder Diffraction Data. Oxford University Press, New York.
5. Hanlon, J. F. 2003. A User Guide to Vacuum Technology. John Wiley and sons, USA.
6. Kaplan Irving Nuclear Physics, latest edition.
7. lilley John 2001 Nuclear physics: Basic concepts and applications,
8. Povh B, Rith K, Scholz C and Zetsche F, 2006, Particles and Nuclei: an Introduction to the Physical Concepts, 5th Edition, publisher: Berlin Springer,.
9. S. Krane Kenneth. 1995. “Introducing Nuclear Physics,
PHY-508 Electrodynamics-II 3 (3 – 0)
Maxwell’s equations, Differential form of Faraday law of electromagnetic induction, Maxwell correction of Amper’s law and displacement current, Electromagnetic energy vector (Poynting vector), Wave equations for scalar and vector potential, Gauge transformations, Lorentz gauge and Coulombs gauge, Retarded scalar and vector potentials, Wave equations for E and H, Time dependent wave equation, Plane electromagnetic waves in a conducting and non-conducting media, Linear and circular polarization. Electromagnetic wave in matter: Propagation in linear media, Reflection and Transmission at the boundary of non-conducting media (Normal and Oblique incidence), Reflection at conducting surface, Frequency dependence of permittivity, Radiation: Electric and Magnetic dipole, Power radiated by a point charge, Radiation reaction, Electrodynamics and Relativity: Einstein’s Postulates, Geometry of Relativity, Lorentz Transformations, Proper time and velocity, Relativistic energy, momentum, kinematics, and electrodynamics, Magnetism as a relativistic phenomenon.Recommended Books:
1. Griffiths D.J. 1999, Introduction to Electrodynamics, 3rd Edition
2. John R. Reitz, 1992, Foundations of Electromagnetic Theory, 4th Edition
PHY-510 Electronics-II 3 (3 – 0)
An overview of operational amplifiers (op-amp), the differential amplifier, the inverting and non-inverting amplifiers, op-amp frequency response, negative feedback, comparators, integrators and differentiators, Instrumentation amplifier, Log and Antilog amplifiers, Constant current source, Current to Voltage and Voltage to Current converters, phase shift oscillators, the Wienbridge oscillator, the Colpitts & Hartley oscillators, the crystal oscillator, Schmitt triggers, the 555 timer, monostable, bistable, and astable multi vibrators, switching circuits, introduction to thyristors, silicon-controlled rectifiers, diacs and triacs, Number systems, digital circuits, Logic gates and Boolean algebra, arithmetic circuits, flip flops and latches, binary counters, Analog to Digital and Digital to analog conversion circuits.Recommended Books:
1. Floyd T L. 2010, Electronic Devices 9TH Ed. Prentice-Hall Intern. Inc., Englewood Cliffs (USA). 2. Floyd, T. L. 2010, Digital Fundamentals 10TH Ed. Prentice-Hall Intern. Inc., Englewood Cliffs (USA).
3. Tocci R J. 2010, Digital Systems: Principles and Applications 11TH Ed. Prentice-Hall Intern. Inc., Englewood Cliffs (USA).
4. Malvino, A P. 2008, Electronic Principles. 7TH Ed. Glencoe-McGraw-Hill Book Co.
5. Nashelsky, L and L B Robert. 2009, Electronic Devices and Circuit Theory 10TH Ed. Prentice-Hall Intern. Inc., Englewood Cliffs (USA).
PHY-512 Lab Course-IV (Atomic & Nuclear Physics) 3 (0 – 3)
The candidate must perform at least Eight experiments from the list given below. 50% weightage must be given to viva-voce about apparatus, theory of experiments and estimation of errors. 1. To Expose the students to advance level experimentation in Physics 2. To make them familiar to such experiments where outcome can be used in developing future research capabilities and teaching skills 3. To make the students confident in their studies by showing and measuring parameters mostly used in their theoretical work. 1. To study the characteristics curves of GM counter. 2. To determine the absorption coefficient of lead for Gamma Rays using GM counter assembly. 3. To determine the maximum energy of Beta Particles using GM counter assembly. 4. To determine the range of an Alpha Particle and guess its energy using empirical relations using GM counter assembly. 5. To measure the half life of a radioactive nuclide. 6. To study of Random processes and fluctuations in Random processes (Gaussian distribution curve) using GM counter assembly. 7. To study radioactive equilibrium using Cs137/Ba137 mini generator using GM counter assembly. 8. Demonstration of Interaction of Radiations with matter using absorber kit using GM counter assembly. 9. Verification of inverse square law using GM counter assembly. 10. To study the wave characteristics of an electron. (electron diffraction experiment.) 11. Determination of Planck’s constant using He-Neon laser, and compare its results with Photo cell method. 12. Determination of velocity of light using He-Neon laser and compare it with other standard methods.Recommended Books:
1. Gray T S. Applied Electronics (John-willey and Sons)
2. Higgings R J. Experimental Electronics (Mc Graw Hill)
3. Mark H and N.T Olson. Experiments in Modern Physics (Mc Graw Hill)
4. Melissienson A C. Experiments in Modern Physics (Academic)
5. Squares G L. Practical Physics 3rd Ed. Cambridge University Press.
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