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
Moment-equation representation of the dissipative quantum Liouville equation
β Scribed by Michael A. Stroscio
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 285 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0749-6036
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π SIMILAR VOLUMES
## 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
The paper contains integral representations for certain classes of exponentially growing solutions of second order periodic elliptic equations. These representations are the analogs of those previously obtained by S. Agmon, S. Helgason, and other authors for solutions of the Helmholtz equation. When