Prog. Theor. Phys. Vol. 65 No. 4 (1981) pp. 1450-1453

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Letters

A Semiclassical Treatment of Transition Phenomena by Coherent-State Path Integral

— A Nontrivial Schematic Model —

Yutaka Mizobuchi

Department of Physics, Kyoto University, Kyoto 606

(Received December 1, 1980)

Abstract:

A semiclassical method with path integrals in the SU(2) coherent state representation is applied to the investigation of transition phenomena in a schematic model which represents interplay between pairing and quadrupole modes. Numerical evaluation of the semiclassical quantization condition is performed and the result is compared with the exact calculation.

URL : http://ptp.ipap.jp/link?PTP/65/1450/
DOI : 10.1143/PTP.65.1450

References:

See, e. g., M. Baranger and M. Veneroni, Ann. of Phys. 114 (1978), 123[CrossRef].
See also, T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
H. Kleinert, Phys. Lett. B 69 (1977), 9[CrossRef].
A. Kuriyama, Prog. Theor. Phys. 60 (1978). 1399.
S. Levit, J. W. Negele and Z. Paltiel, Phys. Rev. C 21 (1980), 1603[APS].
H. Kuratsuji, Prog. Theor. Phys. 65 (1981), 224[PTP].
H. Kuratsuji and T. Suzuki, J. Math. Phys. 21 (1980), 472[CrossRef].
H. Kuratsuji and T. Suzuki, Phys. Lett. B 92 (1980), 19[CrossRef].
H. Kuratsuji and Y. Mizobuchi, to be published in J. Math. Phys.
Private communication with K. Matsuyanagi (this model was suggested to him by Professor B. R. Mottelson on September 1979).

Citing Article(s) :

Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1441-1455 :
Attenuation Factors for B(E2) in the Microscopic Description of Multiphonon States

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Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 783-789 :
Utility of the Elliptic Function for Classical SU(2)-Models of Nuclear Collective Motions

Shinji Iida and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 372-386 :
Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method

Masayuki Matsuo
Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 480-492 :
Semiclassical Description of Bound State Wave Functions for Integrable Systems

Toru Suzuki and Yutaka Mizobuchi
Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 65-91 :
Application of the Adiabatic Self-Consistent Collective Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence

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Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 129-152 :
Collective Paths Connecting the Oblate and Prolate Shapes in ⁶⁸Se and ⁷²Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method

Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 563-580 :
A Possible Boson Realization of the so(4)- and the so(3,1)-Algebra

Seiya Nishiyama, Constança Providência, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 567-599 :
Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics

Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 451-478 :
Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method

Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method

Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 209-220 :
Path Integral Approach to Many-Body Systems and Classical Quantization of Time-Dependent Mean Field

Hiroshi Kuratsuji and Tōru Suzuki

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