Schroźdinger动力学的非马尔可夫相空间方法

IF 1.9 4区数学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Multiscale Modeling & Simulation Pub Date : 2016-01-01 DOI:10.1137/15M101899X

Joseź Luis Loźpez, J. Soler

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引用次数: 1

摘要

通过引入著名的Wigner变换的适当扩展，也考虑了时间离域，以量子动力学形式提供了Schroźdinger动力学的相空间描述。这种“时空维格纳分布”建立在两个时间相关函数的框架内，被证明是由一个非马尔可夫的卷积型积分微分方程控制的。讨论了它在研究量子系统长时间动力学中的应用，并举例说明。

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A Non-Markovian Phase Space Approach to Schroźdinger Dynamics

A phase space description of Schroźdinger dynamics is provided in terms of a quantum kinetic formalism relying on the introduction of an appropriate extension of the well-known Wigner transform, also accounting for time delocalizations. This “space-time Wigner distribution,” built up in the framework of two-time correlation functions, is shown to be governed by a non-Markovian, integro-differential equation of convolution type. Its utility in investigating long time dynamics of quantum systems is also discussed and illustrated with some examples.

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来源期刊

Multiscale Modeling & Simulation 数学-数学跨学科应用

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Centered around multiscale phenomena, Multiscale Modeling and Simulation (MMS) is an interdisciplinary journal focusing on the fundamental modeling and computational principles underlying various multiscale methods. By its nature, multiscale modeling is highly interdisciplinary, with developments occurring independently across fields. A broad range of scientific and engineering problems involve multiple scales. Traditional monoscale approaches have proven to be inadequate, even with the largest supercomputers, because of the range of scales and the prohibitively large number of variables involved. Thus, there is a growing need to develop systematic modeling and simulation approaches for multiscale problems. MMS will provide a single broad, authoritative source for results in this area.