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Zbl 0888.47052
Jensen, Arne; Nakamura, Shu
The 2D Schrödinger equation for a neutral pair in a constant magnetic field. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 67, No.4, 387-410 (1997). ISSN 0246-0211

Summary: We consider the two-body Schrödinger 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.
MSC 2000:
*47N50 Appl. of operator theory in quantum physics
81Q10 Selfadjoint operator theory in quantum theory
81U05 2-body potential scattering theory

Keywords: Schrödinger operator; magnetic field; absolutely continuous spectrum

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