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Heisenberg's Quantum Mechanics

¥ 4,853 (tax included)

Description

This book provides a detailed account of quantum theory with a much greater emphasis on the Heisenberg equations of motion and the matrix method. No other texts have come close to discuss quantum theory in terms of depth of coverage.
The book features a deeper treatment of the fundamental concepts such as the rules of constructing quantum mechanical operators and the classical-quantal correspondence; the exact and approximate methods based on the Heisenberg equations; the determinantal approach to the scattering theory and the LSZ reduction formalism where the latter method is used to obtain the transition matrix. The uncertainty relations for a number of different observables are derived and discussed. A comprehensive chapter on the quantization of systems with nonlocalized interaction is included. Exact solvable models, and approximate techniques for solution of realistic many-body problems are also considered. The book takes a unified look in the final chapter, examining the question of measurement in quantum theory, with an introduction to the Bell's inequalities.

Contents

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.