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Variational Calculations for the Spectrum of Finite Bosons in
Harmonic Potentials |
| MA Yong-Li;CHEN Zhong-Zhou |
| Department of Physics, Fudan University, Shanghai 200433 |
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| Cite this article: |
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MA Yong-Li, CHEN Zhong-Zhou 2003 Chin. Phys. Lett. 20 1434-1436 |
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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.
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| Keywords:
03.75.Fi
67.40.Db
67.90.+z
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Published: 01 September 2003
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