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Prog. Theor. Phys. Vol. 98 No. 5 (1997) pp. 1025-1043

[ Full Text PDF : FREE ACCESS (853K) ]

Transverse Susceptibilities of a Quantal Spin (S=1/2)

Mizuhiko Saeki

Toyama National College of Maritime Technology
Ebie Neriya, Shinminato 933-02

(Received November 20, 1995)

Abstract:

The transverse susceptibility of a quantal spin (magnitude 1/2) interacting weakly with its surroundings (quantal heat bath) is discussed using the method of the TCL equation with external driving terms (the TCLE method) analytically and numerically. The susceptibility obtained by the TCLE method under decoupled initial conditions is shown to coincide with that obtained under thermal equilibrium initial conditions. The results obtained with the TCLE method are compared with those obtained with the relaxation method. It is shown that the susceptibility in the relaxation method includes the second term of the interference terms in the TCLE method, but not its first term. With numerical calculations for the case of a spin-like bath including a quickly damped subsystem, it is shown that the interference terms in the TCLE method give larger effects as the temperature becomes lower, that its first term enhances the peaks of line shapes slightly, and that the peaks of line shapes are enhanced as the temperature becomes low. A model which shows that the TCLE method is simpler than the relaxation method is investigated numerically using the TCLE method.


URL : http://ptp.ipap.jp/link?PTP/98/1025/
DOI : 10.1143/PTP.98.1025

[ Full Text PDF : FREE ACCESS (853K) ] Citation:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 68 (1999) pp. 3831-3839 :
    Relation between TCLE Method and Relaxation Method. II
    Mizuhiko Saeki
  2. Journal of the Physical Society of Japan 69 (2000) pp. 1327-1340 :
    Linear Response of a Quantal Spin (S= 1/ 2) Interacting Weakly with Heat Bath
    Mizuhiko Saeki
  3. Progress of Theoretical Physics Vol. 114 No. 5 (2005) pp. 907-927 :
    A Quantum Field Theoretical Approach to the TCLE Method
    Mizuhiko Saeki
  4. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 1-22 :
    Linear Response in an Interacting Boson System
    Mizuhiko Saeki
  5. Progress of Theoretical Physics Vol. 121 No. 1 (2009) pp. 165-191 :
    Transverse Susceptibilities of Ferromagnetic Spin Wave Interacting with Phonon Reservoir
    Mizuhiko Saeki
  6. Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 95-123 :
    Non-Equilibrium Thermo-Field Dynamics for a Fourth-Order Hamiltonian
    Mizuhiko Saeki

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