Quantum dissipation from power-law memory

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• 作者：Vasily E. Tarasov ; ^{tarasov@theory.sinp.msu.ru}
• 关键词：Quantum dissipation ; Memory processes ; Fractional derivative ; Open quantum system
• 刊名：Annals of Physics
• 出版年：2012
• 期刊代码：63_00034916
• 类别：mt
• 出版时间：June, 2012
• 卷：327
• 期：6
• 页码：1719-1729
• 文件大小：225 K

摘要

A new quantum dissipation model based on memory mechanism is suggested. Dynamics of open and closed quantum systems with power-law memory is considered. The processes with power-law memory are described by using integration and differentiation of non-integer orders, by methods of fractional calculus. An example of quantum oscillator with linear friction and power-law memory is considered.