Quantum Theory Of Tunneling

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World Scientific, 29 ene. 2003 - 572 páginas
This book provides a comprehensive introduction to the theoretical foundations of quantum tunneling, stressing the basic physics underlying the applications. The topics addressed include exponential and nonexponential decay processes and the application of scattering theory to tunneling problems. In addition to the Schrödinger equation approach, the path integral, Heisenberg's equations and the phase space method are all used to study the motion of a particle under the barrier. Extensions to the multidimensional cases and tunneling of particles with internal degrees of freedom are also considered. Furthermore, recent advances concerning time delay and tunneling times and some of the problems associated with their measurement are also discussed. Finally, some examples of tunneling in atomic, molecular, nuclear and condensed matter physics are presented.
 

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Índice

Chapter 1 A Brief History of Quantum Tunneling
1
Chapter 2 Some Basic Questions Concerning Quantum Tunneling
9
Chapter 3 SemiClassical Approximations
23
Chapter 4 Generalization of the BohrSommerfeld Quantization Rule and its Application to Quantum Tunneling
41
Chapter 5 Gamows Theory Complex Eigenvalues and the Wave Function of a Decaying State
53
Chapter 6 Simple Solvable Problems
73
Chapter 7 Tunneling in Confining Symmetric and Asymmetric DoubleWells
105
Chapter 8 A Classical Description of Tunneling
139
Chapter 15 Complex Scaling and Dilatation Transformation Applied to the Calculation of the Decay Width
297
Chapter 16 Multidimensional Quantum Tunneling
307
Chapter 17 Group and Signal Velocities
339
Chapter 18 TimeDelay Reflection Time Operator and Minimum Tunneling Time
351
Chapter 19 More about Tunneling Time
381
Chapter 20 Tunneling of a System with Internal Degrees of Freedom
411
Chapter 21 Motion of a Particle in a Space Bounded by a Surface of Revolution
439
Chapter 22 Relativistic Formulation of Quantum Tunneling
453

Chapter 9 Tunneling in TimeDependent Barriers
149
Chapter 10 Decay Width and the Scattering Theory
167
Chapter 11 The Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling Problems
205
Chapter 12 Path Integral and Its SemiClassical Approximation in Quantum Tunneling
219
Chapter 13 Heisenbergs Equations of Motion for Tunneling
251
Chapter 14 Wigner Distribution Function in Quantum Tunneling
277
Chapter 23 The Inverse Problem of Quantum Tunneling
471
Chapter 24 Some Examples of Quantum Tunneling in Atomic and Molecular Physics
485
Chapter 25 Examples from Condensed Matter Physics
511
Chapter 26 Alpha Decay
531
Index
541
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