Chinese Physics C > 1981, Vol. 5 > Issue(3): 358-363

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF

Xu GoNG-ou

Lanzhou University

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Abstract：
Considering the time-dependent generator coordinate method, the time-dependent Schrodinger equation for nuclear collective motions is obtained. It is then possible to obtain through Wigner matrix a variational expression for mean collective properties q( t) and p( t) in classical limits. Under adiabatic approximation this is just the expression by which Villars has obtained the ATDHF results.

References

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a] D. L. Hill and J. A. Wheeler, Phys. Rev., 89(1953) 1102.[2b] J. J. Griffin and J. A. Wheeler, Phys. Rev., 108(1957), 311.[2] C. W. along, Phys. Rep., 15C(1975), 283.[3a] 徐躬耗,中国科学,(1974),567.[3b] 徐躬辆、王顺金、刘教植、杨亚天、毛铭德,物理学报,25(1976), 226[3c] 徐躬锅、杨亚天、王顺金,中国科学,1981年第4期.[4] P. G. Reinhard and K.Goeke, Phys. Rev., C20(1979),1546.[5] F. Villara, Nucl.Phys., AE85(L977), 269.[6] K. Goeke and P. G. Reinhard, Ann, Phys. (N. Y.),112(1978),32B.[7] 徐躬精,原子核物理,2(1980), 115.[8] H. Goldatein, Classical Mechanics, Addison-Wesley (1953).

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Xu GoNG-ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF[J]. Chinese Physics C, 1981, 5(3): 358-363.

Xu GoNG-ou. THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF[J]. Chinese Physics C, 1981, 5(3): 358-363. shu

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Received: 1980-08-23
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

THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF

Xu GoNG-ou

Lanzhou University

Received Date:1980-08-23
Accepted Date:1900-01-01
Available Online:1981-06-05

Abstract:Considering the time-dependent generator coordinate method, the time-dependent Schrodinger equation for nuclear collective motions is obtained. It is then possible to obtain through Wigner matrix a variational expression for mean collective propertiesq(t) andp(t) in classical limits. Under adiabatic approximation this is just the expression by which Villars has obtained the ATDHF results.