On the Landau–Zener formula for two-level systems

DOI10.1063/1.530097zbMath0805.46041OpenAlexW1984914212MaRDI QIDQ3136650

Vojkan Jakšić, Jan Segert

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530097

zbMATH Keywords

adiabatic limitPaley-Wiener type theoremFourier transform in the adiabatic parameterFourier transform of functions belonging to a Hardy class on a stripjustification of the Landau-Zener formula for the two-level systemstransition probability between eigenstates of a time-dependent two-level system

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (2)

Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• Exponentially small adiabatic invariant for the Schrödinger equation
• Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
• Adiabatic expansions near eigenvalue crossings
• Full asymptotic expansion of transition probabilities in the adiabatic limit
• Double Stern-Gerlach Experiment and Related Collision Phenomena
• EXPONENTIAL APPROACH TO THE ADIABATIC LIMIT AND THE LANDAU-ZENER FORMULA

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