Accession Number:

AD0600266

Title:

ON THE COLLECTIVE VIBRATIONS OF A MANY-FERMION SYSTEM,

Descriptive Note:

Corporate Author:

LABORATOIRE DE PHYSIQUE THEORIQUE ET HAUTES ENERGIES ORSAY (FRANCE)

Personal Author(s):

• Jancovici,B.
• Schiff,D. H.

Report Date:

1964-02-01

Pagination or Media Count:

14.0

Abstract:

The energy levels of a many-fermion system are investigated through an extension of the generator coordinate method of Peierls-Yoccoz and Wheeler-Griffin. A trial wave function for the system is taken as a superposition of all possible independent particle wave functions in the neighborhood of the Hartree-Fock ground state wave function the functions depend on many parameters. An integral equation is established for the generator function. Through appropriate approximations, this integral equation is transformed into the Schrodinger equation for a set of coupled harmonic oscillators, which can be solved. The energies and wave functions are obtained for the ground state and the low excited states of the system. The present approach is equivalent to the random phase approximation. Author

Descriptors:

• *FIELD THEORY
• *QUANTUM THEORY
• VIBRATION
• FERMIONS
• FERMIONS
• PARTICLES
• ENERGY
• SPECIAL FUNCTIONS(MATHEMATICS)
• INTEGRAL EQUATIONS
• N BODY PROBLEM

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE