Quantum equations of motion for a dissipative system
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作者:
Wysocki, R.J.
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机构:
Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw, PolandInstitute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw, Poland
Wysocki, R.J.
[1
]
机构:
[1] Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw, Poland
来源:
Physical Review A - Atomic, Molecular, and Optical Physics
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2000年
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61卷
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02期
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摘要:
We propose a method of determining quantum evolution equations for dissipative systems. Our approach is based on the observations that (1) the equations of quantum mechanics for a Hamiltonian system correspond to the classical equations describing the evolution of a special statistical ensemble of copies of the system, and (2) the quantum equations can be determined if the corresponding classical equations are known and the satisfaction of the uncertainty principle for particle position and momentum is postulated. Namely, if these statements are required to remain valid for a dissipative system, the quantum evolution equations for that system can be obtained.