Absence of positive eigenvalues in a class of multiparticle quantum systems
From MaRDI portal
Publication:2557838
DOI10.1007/BF01362152zbMath0253.35025OpenAlexW2045548659MaRDI QIDQ2557838
Publication date: 1973
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/162536
Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10)
Related Items
Twelve tales in mathematical physics: An expanded Heineman prize lecture, A characterization of dilatation analytic integral kernels, Mathematical Theory of Single Channel Systems. Analyticity of Scattering Matrix, Absence of positive eigenvalues of Schrödinger operators, Non-existence of eigenvalues of Schrödinger operators, Asymptotic completeness for a class of four particle Schrödinger operators, A non-existence result for a generalized radial Brezis-Nirenberg problem, Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
Cites Work
- Unnamed Item
- Unnamed Item
- Zur Spektraltheorie von Sturm-Liouville-Operatoren
- Commutators and scattering theory. I: Repulsive interactions
- Lower bounds for solutions of Schrödinger equations
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Quadratic form techniques and the Balslev-Combes theorem
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- Pointwise Bounds on Eigenfunctions and Wave Packets in N-Body Quantum Systems. I
- On the continuous spectrum of schrödinger operators
- The virial theorem and its application to the spectral theory of Schrödinger operators
- On positive eigenvalues of one‐body schrödinger operators
- Time-dependent approach to nonrelativistic multichannel scattering