Spectral analysis of \(N\)-body Stark Hamiltonians
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Publication:1908066
DOI10.1007/BF02099603zbMath0846.35095OpenAlexW2036568572MaRDI QIDQ1908066
Erik Skibsted, Jacob Schach Møller, Ira W. Herbst
Publication date: 4 March 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02099603
Related Items (21)
AN ABSTRACT RADIATION CONDITION AND APPLICATIONS TO N-BODY SYSTEMS ⋮ Spectral theory of time-periodic many-body systems ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Asymptotic completeness for \(N\)-body Stark Hamiltonians ⋮ Asymptotic completeness for particles in combined constant electric and magnetic fields. II. ⋮ Scattering on an anisotropic potential in a constant electric field ⋮ Exponential decay property for eigenfunctions of Landau-Stark Hamiltonian ⋮ Instability of pre-existing resonances under a small constant electric field ⋮ Unnamed Item ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Local resolvent estimates for \(N\)-body Stark Hamiltonians ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field ⋮ Unnamed Item ⋮ Spectral theory for 1-body Stark operators ⋮ Unnamed Item ⋮ Some applications of the Pohozaev identity ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Scattering theory for two-body quantum systems with singular potentials in a time-periodic electric field ⋮ Two-body short-range systems in a time-periodic electric field ⋮ Scattering in an external electric field asymptotically constant in time
Cites Work
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- Stark effect in multielectron systems: Non-existence of bound states
- Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
- Asymptotic completeness for \(N\)-body Stark Hamiltonians
- Principle of limiting absorbtion for N-body Schrödinger operators. A remark on the commutator method
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