Prog. Theor. Phys. Vol. 87 No. 4 (1992) pp. 911-925

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Application of the Canonical Theory of Mixed State to the Description of Bound State of the Nucleus. II

— Schematic Model and Physical Ingredients of Constraints —

Atsushi Kuriyama, João da Providência^* and Masatoshi Yamamura

Faculty of Engineering, Kansai University, Suita 564
^*Departamento de Fisica, Universidade de Coimbra, P-3000 Coimbra

(Received November 25, 1991)

Abstract:

The theory developed in Part I of this series of papers is adapted to a schematic model, the Lipkin model. In this case, we can introduce a set of canonical variables satisfying automatically the constraints and obtain an exact boson representation of the Lipkin model after a canonical quantization. However, when the constraints themselves are also quantized, the physical ingredients of the constraints are revealed under a completely different perspective.

URL : http://ptp.ipap.jp/link?PTP/87/911/
DOI : 10.1143/PTP.87.911

References:

A. Kuriyama, J. da Providência and M. Yamamura, Prog. Theor. Phys. 86 (1991), 419[PTP].
M. Yamamura, J. da Providência, A. Kuriyama and C. Fiolhais, Prog. Theor. Phys. 83 (1990), 749[PTP].
M. Yamamura and A. Kuriyama, Prog. Theor. Phys. Suppl. No. 93 (1987).
A. P. Balachandran, G. Marmo, B. S. Skagerstam and A. Stern, Classical Topology and Quantum States (World Scientific, 1991).

Citing Article(s) :

Progress of Theoretical Physics Vol. 94 No. 6 (1995) pp. 1039-1059 :
Thermal Effect in Lipkin Model. I

Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 96 No. 1 (1996) pp. 125-144 :
Thermal Effect in the Lipkin Model. III

Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 87-105 :
The Lipkin Model in Many-Fermion System as an Example of the su(1,1) ⊗ su(1,1)-Algebraic Model

Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Supplement No.141 (2001) pp. 113-178 :
Time-Evolution of the Coherent and the Squeezed States of Many-Body Systems Based on the Basic Idea of the Boson Mapping and the TDHF Method

Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Supplement No.141 (2001) pp. 243-284 :
Canonical Formulation of Mixed State and Irreducible Representation of u(M) Algebra

Atsushi Kuriyama, João da Providência and Masatoshi Yamamura