General adiabatic evolution with a gap condition
DOI10.1007/s00220-007-0299-yzbMath1176.47032arXivmath-ph/0608059OpenAlexW2036247458MaRDI QIDQ2384772
Publication date: 10 October 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0608059
One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Linear differential equations in abstract spaces (34G10)
Related Items (20)
Cites Work
- Adiabatic theorems and applications to the quantum Hall effect
- Adiabatic theorems for dense point spectra
- Adiabatic theorems for quantum resonances
- Analytic perturbation theory for matrices and operators. Licensed ed
- Exponentially small adiabatic invariant for the Schrödinger equation
- Adiabatic theorem without a gap condition
- Homogenization in time of singularly perturbed mechanical systems
- Adiabatic perturbation theory in quantum dynamics
- A note on the adiabatic theorem without gap condition.
- Linear adiabatic theory. Exponential estimates
- Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
- On the quasi-static evolution of nonequilibrium steady states
- Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
- Adiabatic theorems and reversible isothermal processes
- On the adiabatic theorem of quantum mechanics
- Adiabatic evolution of an irreversible two level system
- Superadiabatic evolution and adiabatic transition probability between two nondegenerate levels isolated in the spectrum
- Exponential Asymptotics in a Singular Limit for n-Level Scattering Systems
- Adiabatic evolution for systems with infinitely many eigenvalue crossings
- Semiclassical Asymptotics Beyond All Orders for Simple Scattering Systems
- An Adiabatic Theorem for Singularly Perturbed Hamiltonians
- SEMI-CLASSICAL INELASTIC S-MATRIX FOR ONE-DIMENSIONAL N-STATES SYSTEMS
- A New Basis for Uniform Asymptotic Solution of Differential Equations Containing One or Several Parameters
- An introduction to semiclassical and microlocal analysis
- Elementary exponential error estimates for the adiabatic approximation.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: General adiabatic evolution with a gap condition