Resonances in the Stark effect of atomic systems
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Publication:1168492
DOI10.1007/BF01208288zbMath0493.35034MaRDI QIDQ1168492
Sandro Graffi, Vincenzo Grecchi
Publication date: 1981
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations in context of PDEs (35B20) Linear accretive operators, dissipative operators, etc. (47B44)
Related Items (13)
Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Instability of pre-existing resonances under a small constant electric field ⋮ Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ S-matrix and Jost functions of Schrödinger Hamiltonian related to the Stark effect ⋮ Unnamed Item ⋮ The 1/R expansion for \(H^ +_ 2:\) analyticity, summability, and asymptotics ⋮ Unnamed Item ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Resonances for the AC-Stark effect ⋮ Resonances in the One Dimensional Stark Effect in the Limit of Small Field ⋮ Operatori di Schroedinger con campi elettrici
Cites Work
- Dilation analyticity in constant electric field I. The two body problem
- Dilation analyticity in constant electric field. II: N-body problem, Borel summability
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Tensor products of closed operators on Banach spaces
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