期刊
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
卷 45, 期 9, 页码 1619-1629出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-005-9001-3
关键词
fractional calculus; Brownian motion; nonconservative systems
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 Schrodinger's equation which is solved.
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