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arXiv · 1702.05799

On a non-separable quantum many-particle system on the half-line

Joachim Kerner·Tobias Mühlenbruch
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Abstract

In this paper we will report on a one-dimensional, non-separable quantum many-particle system introduced in [arXiv:1504.08283,arXiv:1604.06693]. It consists of two (distinguishable) particles moving on the half-line being subjected to two different kinds of two-particle interactions: singular many-particle interactions localised at the origin and a binding-potential leading to a molecular-like state. We will formulate the model precisely, obtaining a well-defined self-adjoint operator (the Hamiltonian of our system) and elaborate on its spectral properties. In addition, we will present possible directions for future research.

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Joachim Kerner, Tobias Mühlenbruch. 2017-02-19. On a non-separable quantum many-particle system on the half-line. https://doi.org/10.17586/222080542017812023

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