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DISCRETE SPECTRUM OF A THREE-PARTICLE SCHRÖDINGER OPERATOR WITH A HOMOGENEOUS MAGNETIC FIELD

Published online by Cambridge University Press:  01 October 1998

S. VUGALTER
S. VUGALTER
Affiliation:
Radiophysical Research Institute, 25/14 B. Pecherskaja, N. Novgorod 603600, Russia
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Abstract

The discrete spectrum of the Schrödinger operator is studied for a system of three identical particles with short-range interactions in a homogeneous magnetic field. All the two-particle subsystems are supposed to be unstable. Finiteness of the discrete spectrum is established under some assumptions about the solutions of the corresponding two-particle Schrödinger equation.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 2 , October 1998 , pp. 497 - 512
Copyright
The London Mathematical Society 1998

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