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1984 Volume 68 Issue 6 Pages
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Article type: Appendix
1984 Volume 68 Issue 6 Pages
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Article type: Appendix
1984 Volume 68 Issue 6 Pages
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[in Japanese]
Article type: Article
1984 Volume 68 Issue 6 Pages
F2-F7
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Article type: Article
1984 Volume 68 Issue 6 Pages
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Seiya NISHIYAMA, Hideo FUKUTOME
Article type: Article
1984 Volume 68 Issue 6 Pages
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A microscopic theory of large amplitude collective motions is proposed which is based on the SO(2N+1) Lie algebra of the fermion operators. Following the idea of Kuriyama-Yamamura, a cononical condition for collective variables is imposed by adopting an SO(2N+1) wave function. Then we obtain eqations to determine a collective path on the SO(2N) group manifold and constraints governing the collective and "independent-particle" degrees of freedom. An approximate solution of our equation is shown to be the well-known RPA one in the small amplitude limit and approximate forms of the SO(2N+1) energy and density matrices are given. Our theory is strikingly contrast to the circumstances of the Kuriyama-Yamamura theory with the use of fermion coherent state representation which forces us to introduce inevitably anti-commuting Grassmann numbers.
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Seiya NISHIYAMA, Takao KOMATSU
Article type: Article
1984 Volume 68 Issue 6 Pages
F12-
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We study integrability conditions of a time-dependent Hartree-Bogoliubov (TDHM) equation to determine collective submanifolds from the group theoretical viewpoint. The basic idea lies in the introduction of a sort of Lagrange manner familiar to fluid dynamics to describe collective coordinates. This manner enables us to take a one-form Ω which is linearly composed of a TDHB Hamiltonian and infinitesimal generators induced by collective variable differentials of an SO(2N) (Bogoliubov) canonical transformation The integrability conditions of our system read dΩ-ΩΛΩ=0, which is a fundamental equation to determine the collective submanifolds in the TDHB method. This equation may by expected to work well in the large scale beyond an SO(2N) RPA as the small amplitude limit. with an appropriate boundary condition, It is not the purpose of this paper to go into detailed quantitative discussion, but rather to develop the basic idea.
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[in Japanese]
Article type: Article
1984 Volume 68 Issue 6 Pages
F13-F21
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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Article type: Appendix
1984 Volume 68 Issue 6 Pages
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[in Japanese], [in Japanese]
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1984 Volume 68 Issue 6 Pages
F40-F42
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
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1984 Volume 68 Issue 6 Pages
F77-F78
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H. van Haeringen, L.P. Kok, [in Japanese]
Article type: Article
1984 Volume 68 Issue 6 Pages
151-164
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1984 Volume 68 Issue 6 Pages
165-167
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Article type: Appendix
1984 Volume 68 Issue 6 Pages
168-169
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Article type: Index
1984 Volume 68 Issue 6 Pages
170-171
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Article type: Index
1984 Volume 68 Issue 6 Pages
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Article type: Index
1984 Volume 68 Issue 6 Pages
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Article type: Appendix
1984 Volume 68 Issue 6 Pages
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Article type: Cover
1984 Volume 68 Issue 6 Pages
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Article type: Cover
1984 Volume 68 Issue 6 Pages
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