Course Bulletin - for Batch Year 2004 *Physics 2 Yr M.Sc * * Specialization : None * * First Year * * First Semester * * Core Course* PH 401 Classical Mechanics 8.0 PH 403 Quantum Mechanics I 8.0 PH 405 Electronics 6.0 PH 407 Mathematical Physics I 8.0 PH 409 Introduction to Condensed Matter Physics I 6.0 PH 411 Physics Lab I 3.0 PH 413 Programming Lab 5.0 Course Contents Course Bulletin - for Batch Year 2004 *Physics 2 Yr M.Sc * * Specialization : None * * First Year * * First Semester * *Course Code: * PH 401 *Title: * Classical Mechanics *Credits: * 8.0 *Pre-requisite: * *Description: * Review of Newton"s laws of motion. Frames of reference. Conservation laws. Central orbits. Scattering. Rotating coordinates and Corilis force. Rigid body dynamics. Moment of inertia tensor and Euler"s equations. Variational principle. Lagrange"s and Hamilton"s formulations. Poisson brackets. Periodic motion, small oscillations, normal coordinates. Basic concepts of H.J. theory and action angle variables. *Text/References: * H. Goldstien, Classical Mechanics, Addison Wesley. K.R. Symon, Mechanics, Addison Wesley. L.D. Landau and E.M. Lifshitz, Mechanics, Pergamon Press. *Course Code: * PH 403 *Title: * Quantum Mechanics I *Credits: * 8.0 *Pre-requisite: * *Description: * Historical background: Wave functions, Superposition principle, Wave packets. Schrodinger equation. Probability and current densities. Expectation values and Ehrenfest"s theorem. General formalism: Linear vectors and operators in Hillbert space, observables, commuting operators, momentum representation and uncertainty principle. Unitary transformations, Schrodinger and Heisenberg representations, Equations of motion. Applications: One dimensional potential problems, Linear harmonic oscillator polynomial solutions,creation and annihilation operators. Central forces, angular momentum, spherical harmonics, spin, addition of general angular momenta. Motion in a well. Free and bound states in a Coulomb potential. *Text/References: * E. Merzbacher, Quantum Mechanics, Wiley 1970. P.M. Mathews and Venkatesan , A Text book of Quantum Mechanics, Tata McGraw Hill, 1976. A.Messiah, Quantum Mechanics, North Holland. L. Landau, and E. Lifshitz, Quantum Mechanics, Pergamon, 1956. *Course Code: * PH 405 *Title: * Electronics *Credits: * 6.0 *Pre-requisite: * *Description: * p-n,p-n-p junction semiconductor devices, Rectifier circuits, h-parameter models, Field effect transitors, Low-frequency amplifiers, operational amplifiers and related circuits, Regulated Power Supplies, Pulse and digital circuits. *Text/References: * J. Millman, Micro electronics, Mc Graw Hill, Kogahusha, 1979. H. Taub and Schilling D., digital Integrated Electronics, Mc Graw Hill, Kogahusha, 1977. *Course Code: * PH 407 *Title: * Mathematical Physics I *Credits: * 8.0 *Pre-requisite: * *Description: * Scalar and vector fields. Vector equations, Differentiations, gradient tangent plane, divergence and curl. Integrations, surface and volume integrals, Green, Gauss, and Stokes theorems and their applications. Transformations of coordinate systems and vector components, metric coefficients, curvilinear coordinates. Expressions for grad. div. and curl. Helmholtz eqn in three dimensions and separation of variables in various coordinate systems. Matrices and determinants. Linear equations of homogenous and inhomogenous types. Linear vector spaces. Scalar product. Linear independence. Change of basis. Schmidt orthogonalisation. Special matrices. Bilinear and quadratic forms. Eigenvalues and Eigenvectors. Transformation of matrices, diagonalization, orthogonal and unitary transformations. Functions of a complex variable, limit, continuity, analytic function, Cauchy formula, Laurent series, isolated and essential singularities. Contour integrations. Conformal transformations. Fourier series. Fourier and Laplace transforms with applications . *Text/References: * M.R. Spiegel, Vector Analysis, Schaum"s outline series. H.A. Hinchey, Introduction to Applicable Mathematics, Part I, Wiley Eastern. P.Dennery and M. Krzywicki, Mathematics for Physicists, Harper & Row. R.V. Churchill, Complex variables and applications, McGraw Hill. J. Mathews and R.L. Walkar, Mathematical Methods of Physics, Benjamin. *Course Code: * PH 409 *Title: * Introduction to Condensed Matter Physics I *Credits: * 6.0 *Pre-requisite: * *Description: * x *Text/References: * x *Course Code: * PH 411 *Title: * Physics Lab I *Credits: * 3.0 *Pre-requisite: * *Description: * Millikan"s oil drop expriment,h-photoelectic effect,Ultrasonic grating, Franck-Hertz experiment, Elastic constant by interference method (cornu"s fringes), Susceptibility by Guoy"s method, Airtrack-study of potential well, Faraday effect-Verdet"s constant, Rating of vacuum pump. *Text/References: * *Course Code: * PH 413 *Title: * Programming Lab *Credits: * 5.0 *Pre-requisite: * *Description: * Exposure to DOS and Unix environment. Elementary numerical programming using either FORTRAN-77 or C Language. *Text/References: * B. Davis and T.R. Hoffmann, Fortran-77-A Structured Disciplined style, McGraw Hill, Singapore, 1988.