Heisenberg's Quantum Mechanics

A Brief Survey of Analytical Dynamics, Discovery of Matrix Mechanics, Mathematical Preliminaries; Postulates of Quantum Theory; Equations of Motion, Hamiltonian Operator and the Commutation Relations; Symmetries and Conservation Laws, Classical and Quantum Integrability; Classical and Quantum Mechanical Degeneracies; Bound State Energies for One-Dimensional Problems; Exactly Solvable Potentials, Supersymmetry and Shape Invariance; Supersymmetry and Superpotential; Shape Invariant Potentials; Two-Body Problem; Determination of the Angular Momentum Eigenvalues; Methods of Integration of the Heisenberg Equations of Motion; Discrete-Time Formulation of the Heisenberg's Equations of Motion; Quantum Tunneling Using Discrete-Time Formulation; Integration of the Operator Differential Equations; Perturbation Theory; Other Methods of Approximation; Heisenberg Correspondence Principle, Quantization of the Equations of Motion with Higher Derivatives; Determinantal Method in Potential Scattering; Time-Dependent Scattering Theory; The Scattering Matrix; Impact Parameter Representation of the Scattering Amplitude; Transition Probability; Quantum Diffraction, Motion of a Charged Particle in Electromagnetic Field; The Aharanov-Bohm Effect; Neutron Interferometry; Quantum Many-Body Problem; Hartree and Hartree-Fock Approximations; Second Quantization; Bogoliubov Transformation for a Many-Boson System; Bogoliubov Transformation for Fermions Interacting Through Pairing Forces; Quantum Theory of Free Electromagnetic Field; Casimir Force; Interaction of Radiation with Matter; Heisenberg Equations for Interaction of an Atom with Radiation; Bell's Inequalities;