Asymptotic formula for quantum harmonic oscillator tunneling probabilities

DOI10.1016/S0034-4877(15)30025-2zbMath1334.81034arXiv1501.07483MaRDI QIDQ255943

Arkadiusz Jadczyk

Publication date: 9 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07483

zbMATH Keywords

Hermite polynomialsasymptoticturning pointsAiry functionquantum harmonic oscillatortunneling probabilities

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Uses Software

• DLMF

Cites Work

• Quantum-classical correspondence. Dynamical quantization and the classical limit.
• Breakdown of Bohr's Correspondence Principle
• Visual Quantum Mechanics
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