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The many-body problem with an energy-dependent confining potential

Abstract : We consider systems of N bosons bound by two-body harmonic interactions, whose frequency depends on the total energy of the system. Such energy dependent confining interactions between the bosons yield remarkable properties of the many-body system. As the quantum numbers increase, the total energy cannot exceed a saturation energy, which is independent of the number of particles N. Moreover, the ground state energy increases with N. As a result, the density of states tends rapidly to infinity as N and/or the quantum numbers increase.
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Submitted on : Wednesday, March 4, 2009 - 2:36:53 PM
Last modification on : Wednesday, October 14, 2020 - 4:11:14 AM




R.J. Lombard, J. Mares. The many-body problem with an energy-dependent confining potential. Physics Letters A, Elsevier, 2009, 373, pp.426-429. ⟨10.1016/j.physleta.2008.12.009⟩. ⟨in2p3-00365757⟩



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