Solutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic Trap

Details Solutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic Trap Solutions of the Logarithmic Schrodinger Equation in a Rotating Harmonic Trap

2003-10-31

arxiv.org/abs/quant-ph/0310195v3

Physics

Quantum Physics

8 pages, 3 figures

Scientific paper

We study the influence of the nonlinearity in the Schrodinger equation on the
motion of quantum particles in a harmonic trap. In order to obtain exact
analytic solutions, we have chosen the logarithmic nonlinearity. The unexpected
result of our study is the existence in the presence of nonlinearity of two or
even three coexisting Gaussian solutions.

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