## Communicated by H. Neunzert We present a semigroup analysis of the quantum Liouville equation, which models the temporal evolution of the (quasi) distribution of an electron ensemble under the action of a scalar potential. By employing the density matrix formulation of quantum physics we prove
On the quantum Liouville equation
β Scribed by Francis J. Narcowich
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 639 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
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-classical series.
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