Stochastic Schroedinger equation from optimal observable evolution
نویسندگان
چکیده
منابع مشابه
Stochastic Schroedinger equation from optimal observable evolution
In this article, we consider a set of trial wave-functions denoted by |Q〉 and an associated set of operators Aα which generate transformations connecting those trial states. Using variational principles, we show that we can always obtain a quantum Monte-Carlo method where the quantum evolution of a system is replaced by jumps between density matrices of the form D = |Qa〉 〈Qb|, and where the ave...
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In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h → 0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter q h (t) satisfies the equation ¨ q h (t) + ∇V (q h (t)) = H h (t) where sup t∈R |H h (t)| → 0 as h → 0.
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2007
ISSN: 0003-4916
DOI: 10.1016/j.aop.2006.09.003