Main Page > BS Physics 4-Years Program (1st to 8th semester) (Regular) > Mathematical Methods of Physics-I
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Mathematical Methods of Physics-I
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Series solutions about an ordinary point and regular singular point, Sturm-Liouville theory, self-adjoint ODEs, orthogonal functions, Hermitian operators, eigenvalue problems, completeness of eigenfunctions, Green’s Functions, Green’s function for one-dimensional problem, eigenfunction expansion of Green’s function, special functions, Gamma Function, digamma and polygamma functions, Stirling’s series, Beta function, Bessel functions of first kind, , orthogonality, Neumann functions, Bessel functions of the second kind, Hankel functions, modified Bessel functions, asymptotic expansions, sherical Bessel functions, Legendre functions, Legendre polynomials, orthogonality, generating function, recurrence relation, associated Legendre equation, spherical harmonics, orbital angular momentum operator, addition theorem for sherical harmonics, Legendre functions of the second kind, Hermite functions, Hermite equation as Schrodinger equation of quatum harmonic oscillator, Laguerre functions and associated Laguerre functions, Fourier series, properties of Fourier series, Fourier transform, properties of Fourier transforms, Fourier convolution theorem, Fourier transform, discrete Fourier transform, Laplace transforms, properties of Laplace transforms, Laplace transform of derivatives, Laplace Convolution theorem, inverse Laplace transform. |
| Credit hours/ Marks:- 3 |
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