Simeon Vugalter
Discrete Spectrum of a Three Particle Schroedinger Operator with a Homogeneous Magnetic Field
The paper is published: J. Lond. Math. Soc., II. Ser. (1996)

MSC:

35P25 Scattering theory for PDE, See also {47A40}

81V10 Electromagnetic interaction; quantum electrodynamics

35Q40 Equations from quantum mechanics

81Q05 Closed and approximate solutions to the Schrodinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Abstract: We study the discrete spectrum of
the Schr\"odinger operator 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 on the solutions of the
corresponding two-particle Schr\"odinger equation .

Keywords: multiparticle systems, discrete spectrum, Schroedinger operator, short-range interactions, homogeneous magnetic field