Remarks on Nonlinear Schrödinger Equations with Harmonic Potential
نویسندگان
چکیده
منابع مشابه
Remarks on nonlinear Schrödinger equations with harmonic potential
Bose-Einstein condensation is usually modeled by nonlinear Schrödinger equations with harmonic potential. We study the Cauchy problem for these equations. We show that the local problem can be treated as in the case with no potential. For the global problem, we establish an evolution law, which is the analogue of the pseudo-conformal conservation law for the nonlinear Schrödinger equation. With...
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متن کاملRemarks on the nonlinear Schrödinger equation with harmonic potential
Bose-Einstein condensation is usually modeled by nonlinear Schrödinger equations with harmonic potential. We study the Cauchy problem for these equations. We show that the local problem can be treated as in the case with no potential. For the global problem, we establish an evolution law, which is the analogue of the pseudo-conformal conservation law for the nonlinear Schrödinger equation. With...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2002
ISSN: 1424-0637
DOI: 10.1007/s00023-002-8635-4