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Description of quantum noise by a Langevin equationGeneral features of the quantum noise problem expressed as the equations of motion for a particle coupled to a set of oscillators are investigated analytically. Account is taken of the properties of the companion oscillators by formulating quantum statistical correlation Langevin equations (QSLE). The frequency of the oscillators is then retained as a natural cut-off for the quantum noise. The QSLE is further extended to encompass the particle trajectory and is bounded by initial and final states of the oscillator. The states are expressed as the probability of existence at the moment of particle collision that takes the oscillator into a final state. Two noise sources then exist: a statistical uncertainty of the initial state and the quantum dynamical uncertainty associated with a transition from the initial to final state. Feynman's path-integral formulation is used to characterize the functional of the particle trajectory, which slows the particle. It is shown that the energy loss may be attributed to friction, which satisfies energy conservation laws.
Document ID
19840056867
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Metiu, H.
(California Univ. Santa Barbara, CA, United States)
Schon, G.
(California, University Santa Barbara, CA, United States)
Date Acquired
August 12, 2013
Publication Date
July 2, 1984
Publication Information
Publication: Physical Review Letters
Volume: 53
ISSN: 0031-9007
Subject Category
Nuclear And High-Energy Physics
Report/Patent Number
AD-A152885
Accession Number
84A39654
Funding Number(s)
CONTRACT_GRANT: NSF PHY-77-27084
Distribution Limits
Public
Copyright
Other

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