Energy splitting in a finite periodic multiple-well potential

DOI10.1088/1361-6404/aa7b68zbMath1386.81072arXiv1608.01052OpenAlexW2499821583MaRDI QIDQ4601961

Dae-Yup Song

Publication date: 25 January 2018

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01052

zbMATH Keywords

Bloch theoremquantum tunnelling1D Schrödinger equationenergy 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)

Cites Work

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• Localization or tunneling in asymmetric double-well potentials
• Eigenvalues, eigenfunctions, and surface states in finite periodic systems
• The double-well potential in quantum mechanics: a simple, numerically exact formulation
• Two Notes on Phase-Integral Methods
• A WKB-Type Approximation to the Schrödinger Equation

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