GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS

XU Gong-Ou

Chinese Physics C> 1983, Vol. 7> Issue(4) : 510-514

GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS

XU Gong-Ou ^,

Lanzhou University

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Abstract：
The problem of overcompleteness in the generator coordinate method is generally studied. It is shown that the effective operator (ON^－1) as a whole excludes the coupliing between the physical and unphysical states and the problem of overcompleteness is resolved in this sense. This conclusion is illustrated with an example of boson representations of the SU(6) group.

References

[1]

D. L. Hill and J. A. Wheeler, Phys. Rev., 89(195.3), 1102[2] C. W. along, Phys. Rep:, 15C(1975), 283. P. Ring and P. Schuck, The Nuclear Many-Body Problem, Chapter 10, Springer-Verlag. Berlin(1980).[3] 徐躬藕, 中国科学,1974,6,567. 徐躬藕、杨亚夭、王顺金, 1981,4,428. Xu Gong-ou and Wang Shun-jin, Nucl. Phys., A380(1982), 529. Xu Gong-ou, in "Progress in Particle and Nuclear Physics—Cofiective .Bands in Nuclei", (in press).[4] J. Schveinger, Quantum Theory of Angular Momentum, Acadeneic Press, New York (1965).[5] J. F. Dyson, Phys. Rev., 102(1956), 1217.[6] T. Holstein and H. Primakoff, Phys. Rev., 58(1940), 1098.

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XU Gong-Ou. GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS[J]. Chinese Physics C, 1983, 7(4): 510-514.

XU Gong-Ou. GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS[J]. Chinese Physics C, 1983, 7(4): 510-514. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS

XU Gong-Ou ^,

Corresponding author: XU Gong-Ou,

Lanzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-08-05

Abstract: The problem of overcompleteness in the generator coordinate method is generally studied. It is shown that the effective operator (ON^－1) as a whole excludes the coupliing between the physical and unphysical states and the problem of overcompleteness is resolved in this sense. This conclusion is illustrated with an example of boson representations of the SU(6) group.