najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-1-20-23najo-718Research ArticleMATHEMATICSМАТЕМАТИКАOn a non-separable quantum many-particle system on the half-lineKernerJ.

FernUniversität in Hagen, 58084 Hagen

Joachim.Kerner@fernuni-hagen.deMühlenbruchT.

FernUniversität in Hagen, 58084 Hagen

Tobias.Muehlenbruch@fernuni-hagen.deDepartment of Mathematics and Computer ScienceRussian Federation201713082025812023Copyright © Kerner J., Mühlenbruch T., 20252025Kerner J., Mühlenbruch T.Kerner J., Mühlenbruch T.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/718

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 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.

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The authors declare that there are no conflicts of interest present.