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Quantum Mechanics: An Introduction for Physicists
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Author: Fliessbach, Torste Publisher: World Scientific ISBN: 9789819801374 Cover: HARDCOVER Date: 2025年05月 DESCRIPTION This book on Quantum Mechanics starts with the known field equation of Electrodynamics. Then comes the following steps: in the case of very weak fields the electromagnetic field equation becomes the quantum mechanical wave equation for single photons. This equation is generalized for massive particles (Klein-Gordon equation). The non-relativistic limit of this is the free Schrodinger equations. In this way the correspondence rules (leading from the Hamilton function to the Hamilton operator) are motivated. On the whole, this book concentrates on applications, and on how things can be calculated . The formal structures are treated to the necessary extent. The applications include all standard topics (including alpha-decay, the hydrogen atom including relativistic correction, angular moment coupling, the Stark effect) and proceed to many-body problems. This includes an introduction of the shell model of the atom and that of the atomic nucleus. TABLE OF CONTENTS Schrodinger's Wave Mechanics: Wave-Particle Duality Free Schrodinger Equation Schrodinger Equation Normalization Expectation Values Hermitian Operators Uncertainty Relation Measurement Process and Uncertainty Relation Eigenvalues and Eigenfunctions: Solution of The Free Schrodinger Equation Time Independent Schrodinger Equation Infinite Square Well Potential One-Dimensional Oscillator Three-Dimensional Oscillator Completeness and Orthonormalization Time Evolution Operator and Observable Symmetry and Conservation Laws One-Dimensional Problems: Potential Barrier Delta Potential Potential Box WKB Approximation Alpha Decay Three-Dimensional Problems: Angular Momentum Operator Central Force Problem Box Potential Scattering: General Aspects Scattering: Applications Spherical Oscillator Hydrogen Atom Abstract Formulation: Hilbert Space Operators in Hilbert Space Unitary Transformations Representations of the Schrodinger Equation Operator Method: Oscillator with Operator Method Heisenberg Picture Angular Momentum with Operator Method Spin Coupling of Angular Momenta Approximation Methods: 39 Time Independent Perturbation Theory Stark Effect Relativistic Corrections in the Hydrogen Atom Time Dependent Perturbation Theory Radiation of Atoms Variational Approach Born Approximation Many-Body Systems: Many-Body Wave Function Ideal Fermi Gas Atoms Molecules 最近チェックした商品
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