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Quantum Evolution: An Introduction to Time-Dependent Quantum Mechanics

J. E. Bayfield

Published Aug 1, 1999• 45 citations
OpenAlex

Abstract

Basic Concepts Quantum Collapse and Revivals Further Topics in Classical Theory Classically Integrable Quantum Systems Introductory Aspects of Nonintegrable Quantum Systems Quantum Tunneling Irregular Quantum Systems Sinusoidally Driven Systems Externally Induced Transport Appendices Bibliography Index.

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Quantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems. This fully updated new edition addresses many topics not typically found in books at this level, including: Bound state solutions of quantum pendulum Morse oscillator Solutions of classical counterpart of quantum mechanical systems A criterion for bound state Scattering from a locally periodic potential and reflection-less potential Modified Heisenberg relation Wave packet revival and its dynamics An asymptotic method for slowly varying potentials Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell’s theorem Delayed-choice experiments Fractional quantum mechanics Numerical methods for quantum systems A collection of problems at the end of each chapter develops students’ understanding of both basic concepts and the application of theory to various physically important systems. This book, along with the authors’ follow-up Quantum Mechanics II: Advanced Topics, provides students with a broad, up-to-date introduction to quantum mechanics. Print Versions of this book also include access to the ebook version.