Adiabatic theorems for quantum resonances

DOI10.1007/s00220-007-0198-2zbMath1153.81010arXivmath-ph/0607054OpenAlexW2050760584MaRDI QIDQ946508

B. E. Eshmatov

Publication date: 23 September 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0607054

zbMATH Keywords

resonancesadiabatic theorem

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (21)

On adiabatic theory for extended fermionic lattice systems ⋮ Adiabatic Evolution and Shape Resonances ⋮ On the theory of resonances in non-relativistic quantum electrodynamics and related models ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap ⋮ General adiabatic evolution with a gap condition ⋮ Status of the fundamental laws of thermodynamics ⋮ One-boson scattering processes in the massive spin-boson model ⋮ The adiabatic Wigner-Weisskopf model ⋮ Effective dynamics for particles coupled to a quantized scalar field ⋮ ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH ⋮ Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results ⋮ Adiabatic approximation for the evolution generated by an \(A\)-uniformly pseudo-Hermitian Hamiltonian ⋮ Resonance theory of decoherence and thermalization ⋮ An adiabatic theorem for resonances ⋮ The preparation of states in quantum mechanics ⋮ Adiabatic theorems for general linear operators with time-independent domains ⋮ Quantum Markovian master equations: resonance theory shows validity for all time scales ⋮ A resonance theory for open quantum systems with time-dependent dynamics ⋮ Relation between the resonance and the scattering matrix in the massless spin-boson model ⋮ Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk ⋮ A note on the Landauer principle in quantum statistical mechanics

Cites Work

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