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Razavy M. Quantum Theory of Tunneling

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Razavy M. Quantum Theory of Tunneling
2nd Edition. — World Scientific Publishing Co. Pte. Ltd., 2014. — 792 p. — ISBN 9814525008.
In this revised and expanded edition, in addition to a comprehensible introduction to the theoretical foundations of quantum tunneling based on different methods of formulating and solving tunneling problems, different semiclassical approximations for multidimensional systems are presented. Particular attention is given to the tunneling of composite systems, with examples taken from molecular tunneling and also from nuclear reactions. The interesting and puzzling features of tunneling times are given extensive coverage, and the possibility of measurement of these times with quantum clocks are critically examined.In addition by considering the analogy between evanescent waves in waveguides and in quantum tunneling, the times related to electromagnetic wave propagation have been used to explain certain aspects of quantum tunneling times. These topics are treated in both non-relativistic as well as relativistic regimes. Finally, a large number of examples of tunneling in atomic, molecular, condensed matter and nuclear physics are presented and solved.
Contents
Introduction
A Brief History of Quantum Tunneling
Some Basic Questions Concerning Quantum Tunneling
Simple Solvable Problems
Time-Dependence of the Wave Function in One-Dimensional Tunneling
Semiclassical Approximations
Generalization of the Bohr-Sommerfeld Quantization Rule and Its Application to Quantum Tunneling
Gamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying State
Tunneling in Symmetric and Asymmetric Local Potentials and Tunneling in Nonlocal and Quasi-Solvable Barriers
Classical Descriptions of Quantum Tunneling
Tunneling in Time-Dependent Barriers
Decay Width and the Scattering Theory
The Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling Problems
Path Integral and Its Semiclassical Approximation in Quantum Tunneling
Heisenberg's Equations of Motion for Tunneling
Wigner Distribution Function in Quantum Tunneling
Decay Widths of Siegert States, Complex Scaling and Dilatation Transformation
Multidimensional Quantum Tunneling
Group and Signal Velocities
Time-Delay, Reflection Time Operator and Minimum Tunneling Time
More About Tunneling Time
Tunneling of a System with Internal Degrees of Freedom
Motion of a Particle in aWaveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped Object
Relativistic Formulation of Quantum Tunneling
Inverse Problems of Quantum Tunneling
Some Examples of Quantum Tunneling in Atomic and Molecular Physics
Some Examples in Condensed Matter Physics
Alpha Decay
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