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Applicability of WKB descriptions

**Figure:** Regions of Applicability of WKB Descriptions.
[width=.6]fig2.eps

In this section we will investigate the applicability of the above theory. Let us consider a condensate which is a solution of the eigenvalue problem $\partial_{t}\psi_{0} = -i \Omega \psi_{0}$ . Therefore, the GP equation (

) becomes

$\displaystyle \Omega \psi_{0}+\triangle\psi_{0}-\varrho\psi_{0} - U\psi_{0} = 0.$

(15)

Subsections

Weak condensate case
Strong condensate case
Unified WKB description

Dr Yuri V Lvov 2007-01-23