Analysis of adiabatic approximation using stable Hamiltonian method

DOI10.1007/s10773-013-1960-1zbMath1304.81070OpenAlexW2010305817MaRDI QIDQ480726

Yi-Tian Ding

Publication date: 11 December 2014

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-013-1960-1

zbMATH Keywords

adiabatic approximationsufficient conditionnecessary conditionstable Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

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Cites Work

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• Quantal phase factors accompanying adiabatic changes
• Functionally commutative matrices and matrices with constant eigenvectors^†
• Dissociation of excited diatomic molecules by external perturbations
• Relationship between minimum gap and success probability in adiabatic quantum computing
• Bound States in Quantum Field Theory

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