Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum

DOI10.1063/1.530255zbMath0776.35056OpenAlexW2109905973MaRDI QIDQ4201667

Alain Joye, Charles-Edouard Pfister

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530255

zbMATH Keywords

adiabatic regime of quantum dynamicsevolution of the Schrödinger equation

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

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Cites Work

• Exponentially small adiabatic invariant for the Schrödinger equation
• Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
• Full asymptotic expansion of transition probabilities in the adiabatic limit