A Note on Exponential Estimates in Adiabatic Theory
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Publication:3157885
DOI10.1081/PDE-120028846zbMath1063.35133OpenAlexW1987379324MaRDI QIDQ3157885
Publication date: 20 January 2005
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/pde-120028846
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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- Adiabatic theorems and applications to the quantum Hall effect
- Adiabatic invariance to all orders
- Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics
- Exponentially small adiabatic invariant for the Schrödinger equation
- Adiabatic theorem without a gap condition
- A note on the adiabatic theorem without gap condition.
- Phase space tunneling in multistate scattering
- Linear adiabatic theory. Exponential estimates
- Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
- Stationary scattering theory for time-dependent Hamiltonians
- Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum
- Precise exponential estimates in adiabatic theory
- EXPONENTIAL APPROACH TO THE ADIABATIC LIMIT AND THE LANDAU-ZENER FORMULA
- mth-order adiabatic invariance for quantum systems
- An introduction to semiclassical and microlocal analysis
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