Perturbation theory for the decay rate of eigenfunctions in the generalized \(N\)-body problem
From MaRDI portal
Publication:1315013
DOI10.1007/BF02096801zbMath0819.35105OpenAlexW2088838880MaRDI QIDQ1315013
Publication date: 7 March 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02096801
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) (n)-body potential quantum scattering theory (81U10)
Related Items
Perturbed periodic Hamiltonians: Essential spectrum and exponential decay of eigenfunctions ⋮ Spectral analysis of \(N\)-body Stark Hamiltonians ⋮ The \(HD\) and \(H\bar D\) methods for accelerating the convergence of three-center nuclear attraction and four-center two-electron Coulomb integrals over \(B\) functions and their convergence properties ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average
- Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators
- \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
- Exponential bounds in cones for eigenfunctions of N-body Schrödinger operators
- Perturbation of embedded eigenvalues in the generalized N-body problem
- Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
- Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
- Coupling constant thresholds in nonrelativistic quantum mechanics. II: Two cluster thresholds in N-body systems
- Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
- Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
