### Abstract

A method is developed to calculate all excitations of trapped gases using hydrodynamics at zero temperature for any equation of state I = I (n) and for any trapping potential. It is shown that a natural scalar product can be defined for the mode functions, by which the wave operator is Hermitian and the mode functions are orthogonal. It is also shown that the Kohn modes are exact for harmonic trapping in the hydrodynamic theory. Excitations for fermions are calculated in the Bardeen-Cooper-Schrieffera'Bose-Einstein condensation transition region using the equation of state of the mean-field Leggett model for isotropic harmonic trap potential.

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

Article number | 035602 |

Journal | Physical Review A |

Volume | 74 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2006 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review A*,

*74*(3), [035602]. https://doi.org/10.1103/PhysRevA.74.035602

**Collective excitations of trapped Fermi or Bose gases.** / Csordás, A.; Adam, Zoltán.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 74, no. 3, 035602. https://doi.org/10.1103/PhysRevA.74.035602

}

TY - JOUR

T1 - Collective excitations of trapped Fermi or Bose gases

AU - Csordás, A.

AU - Adam, Zoltán

PY - 2006

Y1 - 2006

N2 - A method is developed to calculate all excitations of trapped gases using hydrodynamics at zero temperature for any equation of state I = I (n) and for any trapping potential. It is shown that a natural scalar product can be defined for the mode functions, by which the wave operator is Hermitian and the mode functions are orthogonal. It is also shown that the Kohn modes are exact for harmonic trapping in the hydrodynamic theory. Excitations for fermions are calculated in the Bardeen-Cooper-Schrieffera'Bose-Einstein condensation transition region using the equation of state of the mean-field Leggett model for isotropic harmonic trap potential.

AB - A method is developed to calculate all excitations of trapped gases using hydrodynamics at zero temperature for any equation of state I = I (n) and for any trapping potential. It is shown that a natural scalar product can be defined for the mode functions, by which the wave operator is Hermitian and the mode functions are orthogonal. It is also shown that the Kohn modes are exact for harmonic trapping in the hydrodynamic theory. Excitations for fermions are calculated in the Bardeen-Cooper-Schrieffera'Bose-Einstein condensation transition region using the equation of state of the mean-field Leggett model for isotropic harmonic trap potential.

UR - http://www.scopus.com/inward/record.url?scp=33748758709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748758709&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.74.035602

DO - 10.1103/PhysRevA.74.035602

M3 - Article

VL - 74

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 3

M1 - 035602

ER -