On the integrability of a system describing the stationary solutions in Bose--Fermi mixtures

On the integrability of a system describing the stationary solutions in Bose--Fermi mixtures

We study the integrability of a Hamiltonian system describing the stationary solutions in Bose--Fermi mixtures in one dimensional optical lattices. We prove that the system is integrable only when it is separable. The proof is based on the Differential Galois approach and Ziglin-Morales-Ramis method...

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Veröffentlicht in:arXiv.org 2015-03
Hauptverfasser: Christov, Ognyan, Georgiev, Georgi
Format: Artikel
Sprache:eng
Schlagworte:
Hamiltonian functions
Mathematics - Mathematical Physics
Optical lattices
Physics - Chaotic Dynamics
Physics - Mathematical Physics
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Zusammenfassung:We study the integrability of a Hamiltonian system describing the stationary solutions in Bose--Fermi mixtures in one dimensional optical lattices. We prove that the system is integrable only when it is separable. The proof is based on the Differential Galois approach and Ziglin-Morales-Ramis method.
ISSN:2331-8422
DOI:10.48550/arxiv.1503.08171