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  • 2:31 PM, Sunday, 24 Oct 2021


Course Dual Degree (B. Tech + M.S / M.Tech)
Semester Sem. III
Subject Code PH212
Subject Title Mathematical Physics

Syllabus

Curvilinear Co-ordinates and Matrices, Orthogonal coordinates, cylindrical coordinate systems, Spherical polar coordinate systems, orthogonal matrices, Hermiatian matrices and unitary matrices – properties. Groups and their representations – Discrete groups, Lie groups and Lie algebra and applications – connection to rotation group, SO(3), SU(2) and the Lie algebra correspondance. Vector spaces, Tensors, function spaces, Hilbert spaces, orthogonal expansions, operators in infinite dimensional spaces. Fourier Series and Fourier Transform, Properties, advantages and uses of Fourier series, applications – as a method of solving common ODEs in physics. Gibbs phenomenon, discrete Fourier Transform, transform theorems, momentum representation. Functions, Dirac-Delta function, Legendre functions, Bessel Functions, Laguerre functions, Hermite functions – applications of heat conduction problem, diffusion problem, Laplace equation and Poisson equation with different boundary conditions.

Text Books

1. E. Butkov, Mathematical Physics, Addison Wesley, 1973

2. G. B. Arfken and H. J. Weber, Mathematical methods in physics, Academic Press, 2001

References

Same as Text Books