Quantum Theory of Tunneling
Abstract
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 Tunneling Tunneling in Time-Dependent Barriers Decay Width and Scattering Theory The Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling Problems Path Integral and Its Semi-Classical 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 a Waveguide 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 from Condensed Matter Physics Alpha Decay.
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DeVault and Chance proposed the behaviour to show evidence of quantum mechanical tunnelling and laid the foundation for the concept of electron and nuclear tunnelling in biology.
“They proposed the behaviour to show evidence of quantum mechanical tunnelling [54], and laid the foundation for the concept of electron and nuclear tunnelling in biology [42].”
From The future of quantum biology (2018) · cites this paper as [54]
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- Authors
- Razavy, M.
- Affiliations
- University of Alberta (CA)
- Corresponding author
- Razavy, Mohsen
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 2003-01
- DOI
- 10.1142/4984
- OpenAlex
- W3047854480
- Cited by
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- FWCI
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- en
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- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- quantum tunneling, one-dimensional tunneling, semiclassical approximation, Bohr-Sommerfeld quantization, Gamow states, complex eigenvalues, decaying states, asymmetric potential, path integral, Wigner function, complex scaling method, tunneling time, multidimensional tunneling, group theory, signal velocity, time delay, inverse problems, alpha decay, condensed matter physics
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