Published January 1983
| Version v1
Journal article
A Jacobi equation on the coset manifold SO(2N)/U(N) and the quasi-particle RPA equation
Description
We study the variational properties of the action functional appeared in the time-dependent Hartree-Bogoliubov (TDHB) theory. Through the calculus of the second variation on the coset manifold SO(2N)/U(N), the Jacobi equation is obtained. Assuming the periodic Jacobi field, we derive in a natural way the equation for the quasi-particle random phase approximation (RPA) describing the collective excitation around certain static HB fields. The present method of obtaining the SO(2N) RPA may be useful to get the SO(2N + 1) RPA. (author)
Additional details
Publishing Information
- Journal Title
- Prog. Theor. Phys. (Kyoto)
- Journal Volume
- 69
- Journal Issue
- 1
- Series
- Prog. Theor. Phys. (Kyoto).
- Journal Page Range
- 100-112
- ISSN
- 0033-068X
INIS
- Country of Publication
- Japan
- Country of Input or Organization
- Japan
- INIS RN
- 15023830
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
- Descriptors DEI
- COLLECTIVE MODEL; HARTREE-FOCK-BOGOLYUBOV THEORY; LAGRANGE EQUATIONS; NUCLEAR STRUCTURE; PAIRING ENERGY; QUASI PARTICLES; RANDOM PHASE APPROXIMATION; SO GROUPS; U GROUPS; VARIATIONAL METHODS
- Descriptors DEC
- BINDING ENERGY; DIFFERENTIAL EQUATIONS; ENERGY; EQUATIONS; LIE GROUPS; MATHEMATICAL MODELS; NUCLEAR MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS