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Dispersion of one-body operators with the Balian-Veneroni variational principle

✍ Scribed by P. Bonche; H. Flocard

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
715 KB
Volume
437
Category
Article
ISSN
0375-9474

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πŸ“œ SIMILAR VOLUMES

Time-Dependent Variational Principle for
Time-Dependent Variational Principle for the Expectation Value of an Observable: Mean-Field Applications
✍ Roger Balian; Marcel VΓ©nΓ©roni πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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 ThΓ©orique, CEA, Saclay, 91191 Gif sur Yvette, France, and Marcel VΓ©nΓ©roni, Division de Physique ThΓ©orique, Institut de Physique NuclΓ©aire, 91406 Orsay, France
πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 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