Journal
JOURNAL OF SPECTRAL THEORY
Volume 10, Issue 4, Pages 1413-1444Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/JST/331
Keywords
Two-particle system; discrete spectrum; essential spectrum
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In this paper we study an interacting two-particle system on the half-line. We focus on spectral properties of the Hamiltonian for a large class of two-particle potentials. We characterize the essential spectrum and prove, as a main result, the existence of eigenvalues below the bottom of it. We also prove that the discrete spectrum contains only finitely many eigenvalues.
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