A Jacobi Equation on the Coset Manifold SO(2N)/U(N) and the Quasi-Particle RPA Equation
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概要
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We study the variational properties of the action functional appeared in the time-dependent Hartee-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.
- 理論物理学刊行会の論文
- 1983-01-25
著者
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Nishiyama Seiya
Department Of Physics Faculty Of Science Kochi University
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NISHIYAMA Seiya
Department of Physics,Kochi University
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NISHIYAMA Seiya
Research Institute for Fundamental Physics, Kyoto University:Department of Physics, Kochi University
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