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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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