Energy splitting in dynamical tunneling

DOI10.1007/s11232-014-0222-6zbMath1327.81191OpenAlexW2026275217MaRDI QIDQ499406

E. V. Vybornyi

Publication date: 30 September 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-014-0222-6

zbMATH Keywords

semiclassical approximationSchrödinger equationdynamical tunnelingover-barrier reflectiontunneling splitting

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Related Items (5)

Semiclassical asymptotics of oscillating tunneling for a quadratic Hamiltonian on the algebra \(\operatorname{su}(1,1)\) ⋮ Instantons via breaking geometric symmetry in hyperbolic traps ⋮ Bi-orbital states in hyperbolic traps ⋮ Non-Lie top tunneling and quantum bilocalization in planar Penning trap ⋮ Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential

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