Nonlinear Coherent States and Ehrenfest Time for Schrödinger Equation
نویسندگان
چکیده
منابع مشابه
Nonlinear Coherent States and Ehrenfest Time for Schrödinger Equation
We consider the propagation of wave packets for the nonlinear Schrödinger equation, in the semi-classical limit. We establish the existence of a critical size for the initial data, in terms of the Planck constant: if the initial data are too small, the nonlinearity is negligible up to the Ehrenfest time. If the initial data have the critical size, then at leading order the wave function propaga...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1154-0