Spherical harmonics, hydrogen atom, Rodrigues formula
Course Material
- Definition of angular momentum and its examples
- commutation relation of angular momentum and theorems
- commutation relation and spherical polar coordinates of angular momentum
- Inner product in spherical polar coordinates, Creation and annihilation operator of angular momentum, Dirac notations
- Range of orbital angular momentum, Spherically symmetric potential, spherical harmonics,
- Spherical harmonics, hydrogen atom, Rodrigues formula
- Principal quantum number, Degeneracy, scattering
- Scattering, scattering amplitude, scattering equation, Green’s function
- Mid Term Exams
- Form of scattering wave by using Green’s function, complete wave form
- Born approximation, Partial wave analysis and phase shifts
- Phase shifts, total wave representation
- Isotropy, scattering length, orthogonality of Legendre polynomials
- Perturbation theory, equations, definitions, Schrodinger equation
- Time dependent perturbation, questions and theorems
- Perturbation theory for degenerate states, Identical particles, Types of symmetric and anti-symmetric particles
- Particle exchange operator, Pauli’s Exclusion Principle, spin number.
- Final Term Exams
- Chapters 18
- Department Mathematics
- Teacher
Ms. Wajiha Pervaiz
