Quantization of Brownian Motion |
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| Authors: | Eqab M. Rabei Abdul-Wali Ajlouni Humam B. Ghassib |
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| Affiliation: | (1) Physics Department, Mu’tah University, Karak, Jordan;(2) Physics Department, University of Jordan, Amman, Jordan;(3) Physics Department, Mu’tah University, P.O. Box 7, Karak, Jordan |
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| Abstract: | 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 Schrödinger's equation which is solved. |
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| Keywords: | fractional calculus Brownian motion nonconservative systems |
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