Semiclassics in a system without classical limit: The few-body spectrum of two interacting bosons in one dimension

URN to cite this document:: urn:nbn:de:bvb:355-epub-336046
DOI to cite this document:: 10.5283/epub.33604

Geiger, Benjamin

; Urbina, Juan Diego ; Hummel, Quirin ; Richter, Klaus

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Date of publication of this fulltext: 10 Aug 2017 06:11

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Abstract

xWe present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy spectrum is given by the solution of algebraic transcendental equations. By an exact mapping between delta-potentials and boundary conditions on the few-bodywave ...