We study the model of two interacting particles moving in a 1D box, paying main attention to the quantum-classical correspondence for the average shape of quantum eigenstates and for the local density of states (LDOS). We show that if the classical motion is chaotic, in a deep semi-classical region
Decay in time for a one-dimensional two-component plasma
β Scribed by Robert Glassey; Stephen Pankavich; Jack Schaeffer
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 122 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1015
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β¦ Synopsis
Abstract
The motion of a collisionless plasma is described by the VlasovβPoisson (VP) system, or in the presence of large velocities, the relativistic VP system. Both systems are considered in one space and one momentum dimension, with two species of oppositely charged particles. A new identity is derived for both systems and is used to study the behavior of solutions for large times. Copyright Β© 2008 John Wiley & Sons, Ltd.
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