Premium
Discrete Spectrum of a Three‐Particle Schrödinger Operator with a Homogeneous Magnetic Field
Author(s) -
Vugalter S.
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006206
Subject(s) - discrete spectrum , operator (biology) , spectrum (functional analysis) , homogeneous , physics , magnetic field , range (aeronautics) , schrödinger field , particle (ecology) , continuous spectrum , schrödinger's cat , energy operator , field (mathematics) , mathematics , schrödinger equation , mathematical physics , mathematical analysis , quantum mechanics , statistical physics , pure mathematics , eigenvalues and eigenvectors , nonlinear schrödinger equation , chemistry , repressor , oceanography , biochemistry , transcription factor , gene , geology , materials science , composite material , energy (signal processing)
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.