Quantum Langevin equations and quantum stochastic Liouville equations
β Scribed by Toshihico Arimitsu
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 231 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
In this paper I derive exact expressions for the remainder gotten when only a finite number of terms are kept in the semi-classical expansion for the quantum Liouville equation. Each expansion is a power series in h, but with coefficients that depend on fr, and so it is not an ordinary semi-classica
The phenomenological approach to the Langevin equation breaks down for quantum systems. It is necessary to take into account explicitly an external bath, which causes the damping and fluctuations. The question then is whether there exists an autonomous equation of motion for the system itself, with
## Abstract We present an asymptotic analysis of the quantum Liouville equation with respect to the Planck's constant, which models the temporal evolution of the (quasi)distribution of an ensemble of electrons under the action of a potential. We consider two cases: firstly a smooth potential, and s