Geodesic
On a non-separable quantum many-particle system on the half-line
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 20-23

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In this paper we will report on a one-dimensional, non-separable quantum many-particle system. It consists of two (distinguishable) particles moving on the half-line $\mathbb{R}_+$ being subjected to two different kinds of two-particle interactions: singular many-particle interactions localized 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 for our system) and elaborate on its spectral properties. In addition, we will present possible directions for future research.
Keywords: singular many-particle interactions, molecule, spectral analysis, quantum graph. 
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     title = {On a non-separable quantum many-particle system on the half-line},
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J. Kerner; T. Mühlenbruch. On a non-separable quantum many-particle system on the half-line. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 20-23. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a2/