### Abstract

An operator-algebraic approach to analyze the yrast spectrum of weakly interacting bosons is proposed. The basic idea is to exploit the macroscopic occupation of a particular mode to rewrite the second-quantized interaction Hamiltonian under the restriction of the total particle-number conservation and the angular-momentum conservation. Analytically, it is shown that the lowest-lying excitation spectrum from the yrast line is given by 27gn_{3}(n_{3}-1)/34.

Original language | English |
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Article number | 063609 |

Pages (from-to) | 63609/1-63609/7 |

Journal | Physical Review A. Atomic, Molecular, and Optical Physics |

Volume | 64 |

Issue number | 6 |

Publication status | Published - 2001 Jan 1 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

Ueda, M., & Nakajima, T. (2001). Operator-algebraic approach to the yrast spectrum of weakly interacting trapped bosons.

*Physical Review A. Atomic, Molecular, and Optical Physics*,*64*(6), 63609/1-63609/7. [063609].