Oscillatory states of quantum Kapitza pendulum

DOI10.1016/j.aop.2023.169218OpenAlexW4313650018MaRDI QIDQ2682661

Wei He, Chang-Yong Liu

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/2208.02488

zbMATH Keywords

double-well potentialquantum tunnelingFloquet theoremquantum Kapitza pendulum

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special quantum systems, such as solvable systems (81Q80)

Uses Software

• DLMF

Cites Work

• Localization or tunneling in asymmetric double-well potentials
• NIST digital library of mathematical functions
• Quantum states of the Kapitza pendulum
• Tunneling and energy splitting in an asymmetric double-well potential
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• Introduction to Quantum Mechanics
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• Two Notes on Phase-Integral Methods
• Asymptotische Entwicklung der Eigenwerte und Eigenfunktionen der Differentialgleichungen der Sphäroid‐Funktionen und der Mathieuschen Funktionen
• Representation Asymptotique Des Fonctions de Mathieu et des Fonctions D'onde Spheroidales
• A New Treatment for Some Periodic Schrödinger Operators II: The Wave Function
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