Variational Calculations for the Spectrum of Finite Bosons in
Harmonic Potentials
MA Yong-Li, CHEN Zhong-Zhou
Department of Physics, Fudan University, Shanghai 200433
Variational Calculations for the Spectrum of Finite Bosons in
Harmonic Potentials
MA Yong-Li;CHEN Zhong-Zhou
Department of Physics, Fudan University, Shanghai 200433
关键词 ：
03.75.Fi ,
67.40.Db ,
67.90.+z
Abstract ： Using both the Gaussian and Fetter's variational calculations for the N-body ground-state wave function of the trapped Bose-Einstein condensate, we give explicit analytic formulas for the spectrum of finite bosons in harmonic potentials based on the corrected sum rules and generalized virial identities. We compare the low-lying excitation spectra among the Gaussian and Fetter's variational calculations and the exact numerical results. The Gaussian approximation has the simplest reasonable results, validing for N → ∞ and high-lying excitations.
Key words ：
03.75.Fi
67.40.Db
67.90.+z
出版日期: 2003-09-01
引用本文:
MA Yong-Li;CHEN Zhong-Zhou. Variational Calculations for the Spectrum of Finite Bosons in
Harmonic Potentials[J]. 中国物理快报, 2003, 20(9): 1434-1436.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2003/V20/I9/1434
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