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Universal solutions for interacting bosons in one-dimensional harmonic traps

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arxiv cond-mat/0108474 v1 pith:NTF6274P submitted 2001-08-28 cond-mat nlin.SIphysics.atom-ph

Universal solutions for interacting bosons in one-dimensional harmonic traps

classification cond-mat nlin.SIphysics.atom-ph
keywords solutionsbosonsexactharmonicinteractinginteractionsone-dimensionalstates
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of two-body interactions. These states are closely related to the exact solutions found previously in rotating Bose-Einstein condensates.

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  1. A superintegrable quantum field theory

    nlin.SI 2025-11 unverdicted novelty 6.0

    The quantum cubic Szegő equation exhibits integer spectra for its Hamiltonian and conserved hierarchies, indicating superintegrability beyond ordinary quantum integrability.