Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation

Details Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation

2001-09-13

arxiv.org/abs/cond-mat/0109235v1

Physics Letters A, Vol 287/5-6, pp 392-396, 5 Sep 2001

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/S0375-9601(01)00503-5

In the paper we present the exact solutions of one-dimensional Nonlinear
Schr\"{o}dinger Equation. The solutions correspond to the Bogoliubov
excitations in Bose-gas with a local interaction. The obtained expression is
used for evaluating the transmission coefficient of the excitations across a
delta-functional potential barrier.

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