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Content
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Causes of the Historical Development of Quantum Mechanics. Bohr Atom Approach, Photoelectricity, De Broglie Hypothesis, Uncertainty Principle, Probability Wave Functions ; Fundamental Postulates of Quantum Mechanics, Operators, Eigen values and Eigen functions; Measurement in Quantum Mechanics, State Functions and Time Development of State Functions; Function Space and Hermitian Operators: Normalization, Dirac Notation, Hilbert Space, Hermitian Operators and their properties; The Superposition: Dirac Function and some Special Integrals, Formulation of Feyman Integral; Commutation Theorem and Commutation Relation between Observables; Time Development of State Function and Expectation Value; Principle of Conservation: Conservation of Parity, Conservation of Energy, Conservation of Linear and Angular Momentum; One Dimensional Schrödinger Equation: Bound and Unbound States; Solution of Hamiltonian for Harmonic Oscillator Potential; One Dimensional Potential Barriers, Tunneling, Scattering from Potential Barriers, The WKB Approximation, Momentum Space; Infinite Potential Wells, Periodic Lattice, Energy Bands, Some Simple of Problems with Two Degrees of Freedom ; Central Potentials: Representation of Free Particle in Cartesian and Spherical Coordinates, Rigid Rotor, Angular Momentum and Angular Momentum Operators; Central Potentials: Representation of Free Particle in Cartesian and Spherical Coordinates, Rigid Rotor, Angular Momentum and Angular Momentum Operators
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