Published October 1997
| Version v1
Journal article
The 2D Schroedinger equation for a neutral pair in a constant magnetic field
Description
We consider the two-body Schroedinger operator for a neutral pair of particles in two-dimensional space with a constant magnetic field. The two particles interact through a potential. We prove absolute continuity of the spectrum under several different assumptions on the potential. These assumptions cover both the Coulomb and the Yukawa potential. We discuss some explicitly solvable models. (orig.)
Additional details
Publishing Information
- Journal Title
- Annales de l'I.H.P. Physique Theorique
- Journal Volume
- 67
- Journal Issue
- 4
- Journal Page Range
- p. 387-410.
- ISSN
- 0246-0211
- CODEN
- AIPTEO
INIS
- Country of Publication
- France
- Country of Input or Organization
- France
- INIS RN
- 29002578
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COULOMB FIELD; EFFECTIVE MASS; EIGENVALUES; ENERGY SPECTRA; HAMILTONIANS; MAGNETIC FIELDS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TWO-BODY PROBLEM; TWO-DIMENSIONAL CALCULATIONS; YUKAWA POTENTIAL
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; EQUATIONS; MANY-BODY PROBLEM; MASS; MATHEMATICAL OPERATORS; MECHANICS; NUCLEAR POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; QUANTUM OPERATORS; SPECTRA; WAVE EQUATIONS
Optional Information
- Notes
- 16 refs.