Quantum tunneling in complex systems. The semiclassical approach.

DOI10.1007/3-540-68076-4zbMath1133.81001OpenAlexW3007280384MaRDI QIDQ870692

Joachim Ankerhold

Publication date: 14 March 2007

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-68076-4

zbMATH Keywords

Herman-Kluk propagatorclassical and quantum Kramer theoriesdissipative tunnelingimaginary time techniquesinitial value representationstunnel splittingstunneling in metastable and bistable potentialstunneling in real timetunneling in semiconductor based devicestunneling in the energy domain

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Quantum scattering theory (81U99)

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Stationary Schrödinger equation in nonrelativistic quantum mechanics and the functional integral ⋮ Semiclassical analysis of the electron‐nuclear coupling in electronic non‐adiabatic processes ⋮ PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ Slepian eigenvalues as tunnelling rates ⋮ Instantons via breaking geometric symmetry in hyperbolic traps ⋮ Tunnel splitting of the spectrum and bilocalization of eigenfunctions in an asymmetric double well ⋮ Hallmarks of tunneling dynamics with broken reflective symmetry ⋮ Energy splitting in dynamical tunneling ⋮ Tunnelling around bends -- wave scattering in curved shell structures ⋮ Underbarrier interference ⋮ Numerical simulation of tunneling through arbitrary potential barriers applied on MIM and MIIM rectenna diodes ⋮ Exponentially small quantum correction to conductance ⋮ Effects of resonance states in barrier region on non-exponential decay of wave-packets scattered by rounded-rectangular potentials

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