𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Derivation of the Schrödinger–Poisson equation from the quantum N-body problem

✍ Scribed by Claude Bardos; Laszlo Erdös; François Golse; Norbert Mauser; Horng-Tzer Yau

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
81 KB
Volume
334
Category
Article
ISSN
1631-073X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Quantum derivatives and the Schrödinger
Quantum derivatives and the Schrödinger equation
✍ Fayçal Ben Adda; Jacky Cresson 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 164 KB

We define a scale derivative for non-differentiable functions. It is constructed via quantum derivatives which take into account non-differentiability and the existence of a minimal resolution for mean representation. This justify heuristic computations made by Nottale in scale-relativity. In partic

The limit from the Schrödinger-Poisson t
The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension
✍ Ping Zhang; Yuxi Zheng; Norbert J. Mauser 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 330 KB 👁 1 views

## Abstract We deal with the classical limit of the Schrödinger‐Poisson system to the Vlasov‐Poisson equations as the Planck constant ϵ goes to zero. This limit is also frequently called “semiclassical limit”. The coupled Schrödinger‐Poisson system for the wave functions {ψ(__t, x__)} are transform

On the equivalence of the Schrödinger an
On the equivalence of the Schrödinger and the quantum Liouville equations
✍ Peter A. Markowich; H. Neunzert 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

## 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