### Abstract

The collective excitations of Bose condensates in anisotropic axially symmetric harmonic traps are investigated in the hydrodynamic and Thomas-Fermi limit. We identify an additional conserved quantity, besides the axial angular momentum and the total energy, and separate the wave equation in elliptic coordinates. The solution is thereby reduced to the algebraic problem of diagonalizing finite-dimensional matrices. The classical quasiparticle dynamics in the local-density approximation for energies of the order of the chemical potential is shown to be chaotic.

Original language | English |
---|---|

Journal | Physical Review A |

Volume | 56 |

Issue number | 4 |

Publication status | Published - 1997 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*56*(4).

**Hydrodynamic excitations of Bose condensates in anisotropic traps.** / Fliesser, Martin; Csordás, A.; Szépfalusy, P.; Graham, Robert.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 56, no. 4.

}

TY - JOUR

T1 - Hydrodynamic excitations of Bose condensates in anisotropic traps

AU - Fliesser, Martin

AU - Csordás, A.

AU - Szépfalusy, P.

AU - Graham, Robert

PY - 1997

Y1 - 1997

N2 - The collective excitations of Bose condensates in anisotropic axially symmetric harmonic traps are investigated in the hydrodynamic and Thomas-Fermi limit. We identify an additional conserved quantity, besides the axial angular momentum and the total energy, and separate the wave equation in elliptic coordinates. The solution is thereby reduced to the algebraic problem of diagonalizing finite-dimensional matrices. The classical quasiparticle dynamics in the local-density approximation for energies of the order of the chemical potential is shown to be chaotic.

AB - The collective excitations of Bose condensates in anisotropic axially symmetric harmonic traps are investigated in the hydrodynamic and Thomas-Fermi limit. We identify an additional conserved quantity, besides the axial angular momentum and the total energy, and separate the wave equation in elliptic coordinates. The solution is thereby reduced to the algebraic problem of diagonalizing finite-dimensional matrices. The classical quasiparticle dynamics in the local-density approximation for energies of the order of the chemical potential is shown to be chaotic.

UR - http://www.scopus.com/inward/record.url?scp=0001699314&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001699314&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001699314

VL - 56

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

ER -