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Time-dependent variational principle for predicting the expectation value of an observable, application to mean field theories

✍ Scribed by R. Balian; P. Bonche; H. Flocard; M. Veneroni

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
865 KB
Volume
409
Category
Article
ISSN
0375-9474

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📜 SIMILAR VOLUMES

Time-Dependent Variational Principle for
Time-Dependent Variational Principle for the Expectation Value of an Observable: Mean-Field Applications
✍ Roger Balian; Marcel Vénéroni 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 402 KB

Given the state of a system at time t 0 , the expectation value of an observable at a later time t 1 is expressed as the stationary value of an action-like functional, in which a time-dependent state and an observable are the conjugate variables. By restricting the variational spaces, various approx

Time-dependent variational principle for
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
📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 43 KB

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