Review of vectors and vector spaces, matrices and determinants, eigenvalues and eigenvectors, similarity transformations, ordinary differential equations- first and second order.
Solution of differential equations by power series method: solutions of Hermite equation in detail. Orthogonality properties and recurrence relations. Introduction to the solutions of Legendre and Laguerre differential equations, Spherical Harmonics. Introduction to Fourier series and Fourier transforms, convolution theorem.
Solution of the Schrodinger equation for exactly solvable problems such as particle-in-a- box, particle-in-a-ring, harmonic oscillator and rigid rotor. Tunneling, one dimensional potential barriers and wells
Postulates of quantum mechanics, wave functions and probabilities, operators, matrix representations, commutation relationships. Hermitian operators, Commutators and results of measurements in Quantum Mechanics. Eigenfunctions and eigenvalues of operators and superposition principle. States as probability dis
- Teacher: AMRENDRA VIJAY (CY)