Quantization of Brownian Motion

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• 作者：Eqab M. Rabei ; Abdul-Wali Ajlouni and Humam B. Ghassib
• 关键词：fractional calculus ; Brownian motion ; nonconservative systems
• 刊名：International Journal of Theoretical Physics
• 出版年：2006
• 出版时间：September, 2006
• 年：2006
• 卷：45
• 期：9
• 页码：1613-1623
• 全文大小：168 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics<br>Physics<br>Quantum Physics<br>Elementary Particles and Quantum Field Theory<br>Mathematical and Computational Physics<br>
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

Following our work on the quantization of nonconservative systems using fractional calculus, the canonical quantization of a system with Brownian motion is carried out according to the Dirac method. A suitable Lagrangian corresponding to the Langevin equation is set up. Further, a Hamiltonian is constructed and is transformed to Schr?dinger's equation which is solved.