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• The Pauli Exclusion Principle
• Exchange Degeneracy, Constructing Symmetric and Antisymmetric Functions, Wave Function of Two or more Particle Systems, and The Pauli Exclusion Principle
• Interchange Symmetry, Systems of distinguishable Noninteracting particles, Identical particle in classical and quantum mechanics
• Scattering Amplitude of Spinless Particles, Identical Particles, Many Particle Systems, Schrodinger equation for stationary states, multi-electron atoms
• The pictures of quantum mechanics, Time-Dependent perturbation theory, Transition probability for a harmonic perturbation
• WKB method (Connection formulas), Bound states for potential wells with one rigid wall, Bound states for potential with two rigid walls, Tunneling through a potential barrier
• The variational method, WKB method general formalism, WKB method (Bound states for potential wells with no rigid walls)
• Approximation methods for stationary states (Non-degenerate perturbation theory, Degenerate Perturbation Theory)
• Solution of the radial wave equation for the Hydrogen Atom, Radial wave functions of the Hydrogen Atom, Degeneracy of the Bound States of Hydrogen.
• The spherical square well potential, the isotropic harmonic oscillator, the Hydrogen atom, separation of the Center of Mass Motion
• Box Potential, the Harmonic Oscillator examples, 3D problems in Spherical Coordinates in Central Potential: general treatment.
• The eigenvalues and eigen functions of L2 and Lz in spherical polar coordinates, 3D problems in Cartesian Coordinates: general treatment.
• Addition of angular momenta: General formalism
• General theory of spin, Matrix representation of angular momentum operators
• The eigenvalues and eigen functions of L2 and Lz
• Orbital angular momentum