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• 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