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Prog. Theor. Phys. Vol. 66 No. 5 (1981) pp. 1651-1663

[ Full Text PDF : FREE ACCESS (486K) ]

Quantum Theory of Collective Motion

— Quantized Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion —

Toshio Marumori, Fumihiko Sakata,* Tsutomu Une, Yukio Hashimoto and Toshihide Maskawa**

Institute of Physics, University, of Tsukuba, Ibaraki 305
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
**Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received April 10, 1981)

Abstract:

This is the third in a series of papers which intends to develop a new microscopic theory capable by itself to determine the “maximaldecoupled” collective subspace in the many-particle Hilbert space as well as the collective Hamiltonian specifying the subspace. The fundamental principle to formulate the theory is called the invariance principle of the Schrödinger equation. The main purpose of this paper is to show that, when we positively utilize the invariance principle, we can directly obtain a quantum theory of collective motion going beyond the random phase approximation.


URL : http://ptp.ipap.jp/link?PTP/66/1651/
DOI : 10.1143/PTP.66.1651

[ Full Text PDF : FREE ACCESS (486K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 163-175 :
    Maximally-Decoupled Collective Submanifold in a Simple Solvable Model
    Fumihiko Sakata, Yukio Hashimoto, Toshio Marumori and Tsutomu Une
  2. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 424-438 :
    Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion
    Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto and Tsutomu Une
  3. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 288-300 :
    Applicability of the Canonical Quantization Procedure for the Collective Hamiltonian Derived by the Selfconsistent-Collective-Coordinate Method
    Masayuki Matsuo and Kenichi Matsuyanagi
  4. Progress of Theoretical Physics Supplement No.71 (1981) pp. 1-47 :
    Chapter 1. Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
    Toshio Marumori, Kenjiro Takada and Fumihiko Sakata
  5. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 221-236 :
    An Attempt toward Quantum Theory of “Maximally-Decoupled” Collective Motion
    Toshio Marumori, Fumihiko Sakata, Tsutomu Une and Yukio Hashimoto
  6. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama
  7. Progress of Theoretical Physics Supplement No.141 (2001) pp. 179-241 :
    Non-Unitary Boson Mapping and Its Application to Nuclear Collective Motions
    Kenjiro Takada

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