A multi particle toy system with analytic solutions to investigate composite bosons in a harmonic potential

Fuente: arXiv
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Autore principale: Schmicker, Detlef
Natura: Preprint
Pubblicazione: 2024
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author Schmicker, Detlef
author_facet Schmicker, Detlef
contents We construct a three dimensional toy systems with two types of fermions forming a composite boson. They are hold in a harmonic potential. The basis functions are constructed from an internal and an external Gauss function. All integrals have analytical solutions. The high symmetry reduces the number of integrals to be calculated for the symmetrized wave functions. With the internal Gauss function the composite bosons can be tuned from fermionic unbound behavior to bosonic bound behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2404_14430
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A multi particle toy system with analytic solutions to investigate composite bosons in a harmonic potential
Schmicker, Detlef
Quantum Physics
We construct a three dimensional toy systems with two types of fermions forming a composite boson. They are hold in a harmonic potential. The basis functions are constructed from an internal and an external Gauss function. All integrals have analytical solutions. The high symmetry reduces the number of integrals to be calculated for the symmetrized wave functions. With the internal Gauss function the composite bosons can be tuned from fermionic unbound behavior to bosonic bound behavior.
title A multi particle toy system with analytic solutions to investigate composite bosons in a harmonic potential
topic Quantum Physics
url https://arxiv.org/abs/2404.14430