Convergence of Logarithmic Quantum Mechanics to the Linear One |
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| Authors: | Przemysław Górka |
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| Affiliation: | (1) Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland |
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| Abstract: | We study the nonlinear logarithmic Schrödinger equation in three dimensions. We establish the existence of the solutions of general quasi-linear Schrödinger equations. Finally, we show the convergence of the logarithmic quantum mechanics to the linear regime. |
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| Keywords: | 81Q05 35Q40 35Q55 |
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