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Time-dependent variational principle for the expectation value of an observable: Mean-field applications: Roger Balian, Service de Physique Théorique, CEA, Saclay, 91191 Gif sur Yvette, France, and Marcel Vénéroni, Division de Physique Théorique, Institut de Physique Nucléaire, 91406 Orsay, France

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
43 KB
Volume
164
Category
Article
ISSN
0003-4916

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✦ Synopsis

The linear plus Coulomb potential V(r) =ar-b/r is considered.

The first-, third, and fifth-order phase-integral formulas for expectation values of integer powers of r are expressed in terms of complete elliptic integrals. It is pointed out how these results can be used to calculate the probability density close to the origin.

📜 SIMILAR VOLUMES

Correlations and fluctuations in static
Correlations and fluctuations in static and dynamic mean-field approaches: Roger Balian. Service de Physique Théorique de Saclay, F-91191 Gif-sur-Yvette Cedex, France; and Marcel Vénéroni. Division de Physique Théorique, Institut de Physique Nucléaire, F-91406 Orsay Cedex, France
📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 208 KB

We investigate the effect of the compact Hilbert space associated to the spin degree of freedom on the Husimi distributions of a spin-boson system (maser model). In the classical limit, the phase space associated to such a degree of freedom is Iimited to a circle of radius ,,/% (J being the total sp

Lyapunov stability and poisson structure
Lyapunov stability and poisson structure of the thermal TDHF and RPA equations: Roger Balian. Service de Physique Théorique de Saclay, F-91191 Gif-sur-Yvette Cedex, France; and Marcel Vénéroni. Division de Physique Théorique, Institut de Physique Nucléaire, 91406 Orsay Cedex, France
📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 72 KB

## Abstracts of Papers to Appear in Future Issues Relativistic Boltzmann Theory in D + 1 Spacetime Dimensions.