Main Page > BS Physics 4-Years Program (1st to 8th semester) (Regular) > Quantum Mechanics-I
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Quantum Mechanics-I
| From classical mechanics to quantum mechanics, mathematical tools, Hilbert Space, dimension, bases, orthonormal set, Dirac notation, operators on Hilbert space, Hermition and unitary operators, representation in discrete bases, representation in continuous bases, position and momentum representation, postulates of quantum mechanics, the generalised uncertainty principle, evolution of state, Schrodinger equation and solutions, quantum simple harmonic oscillator, Hermite polynomials, Schrödinger's equation in three dimensions, central potentials and introduction to hydrogenic systems,energy eigenvalues and energy eigenstates, matrix representatio of various operators, angular momentum and spherical harmonics, spherical harmonics, matrix representation of angular momentum, spin angular momentom and Pauli matrices, eigenfunctions of angular momentum, Hydrogen atom and Laguerre polynomials, transformations of states and operators, spatial translations, rotations, translations around, rotation of diatomic molecules, orbital angular momentum, wavefunctions for orbital angular momentum eigenstates, spin SO(3), SU(2) and their representations, the Stern-Gerlach experiment, precession in a magnetic field, composite systems, the tensor product of Hilbert spaces, addition of angular momenta, spin-orbit coupling. |
| Credit hours/ Marks:- 3 |
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