Quick Search:
Prog. Theor. Phys. Vol. 74 No. 2 (1985) pp. 429-432
Letters
A General Formulation of Nonequilibrium Thermo Field Dynamics
T. Arimitsu and
H. Umezawa
Theoretical Physics Institute, Department of Physics, The University of Alberta, Edmonton, Alberta T6G 2J1
(Received April 22, 1985)
Abstract:
A fundamental framework for construction of a quantum field theory for open systems is built on two basic concepts; the coarse graining realized by the projection operator method of the damping theory, and of the thermal state, a fundamental concept in the thermo field dynamics.
URL :
http://ptp.ipap.jp/link?PTP/74/429/
DOI : 10.1143/PTP.74.429
References:
- R. Kubo, in Lectures in Theoretical Physics, vol. I, ed. W. E. Brittin and L. G. Dunham (1958), p. 120.
S. Nakajima, Prog. Theor. Phys. 20 (1958), 948[PTP].
R. Zwanzig, J. Chem. Phys. 33 (1960), 1338[CrossRef].
- F. Shibata, Y. Takahashi and N. Hashitsume, J. Stat. Phys. 17 (1977), 171.
S. Chaturvedi and F. Shibata, Z. Phys. B35 (1979), 297.
F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. 49 (1980), 891[JPSJ].
-
T. Arimitsu, J. Phys. Soc. Jpn. 51 (1982), 1720[JPSJ];
ibid. 51 (1982), 879[JPSJ].
-
J. Schwinger, J. Math. Phys. 2 (1961), 407[CrossRef].
- H. Mori, Prog. Theor. Phys. 33 (1965), 423[PTP].
-
T. Arimitsu and F. Shibata, J. Phys. Soc. Jpn. 51 (1982), 1070[JPSJ].
F. Shibata, T. Arimitsu and N. Hamano, J. Phys. Soc. Jpn. 51 (1982), 2075[JPSJ].
T. Arimitsu and T. Tominaga, J. Phys. Soc. Jpn. 51 (1982), 3102[JPSJ].
- L. Laplae, F. Mancini and H. Umezawa, Physics Rep. 10C (1974), 151.
Y. Takahashi and H. Umezawa, Collect. Phenom. 2 (1975), 55.
H. Matsumoto, Fortschr. Phys. 25 (1977), 1.
H. Umezawa, H. Matsumoto and M. Tachiki, Thermo Field Dynamics and Condensed States (North-Holland, Amsterdam, New York, London, 1982).
H. Umezawa, Prog. Theor. Phys. Suppl. No. 80 (1985), 126[PTP].
H. Matsumoto, in Progress in Quantum Field Theory, ed. H. Ezawa and S. Kamefuchi (North-Holland Pub., 1985), to be published.
-
I. Ojima, Ann. of Phys. 137 (1981), 1[CrossRef].
-
U. Fano, Rev. Mod. Phys. 29 (1957), 74[APS].
An interesting investigation will be found in I. Prigogine, C. George, F. Henin and L. Rosenfeld, Chemica Scripta 4 (1973), 5.
- J. A. Crawford, Nuovo Cim. 10 (1958), 698.
M. Schmutz, Z. Phys. B30 (1978), 97.
- T. Arimitsu, H. Umezawa and M. Ban, in preparation to publication.
-
H. Matsumoto, Y. Nakano and H. Umezawa, Phys. Rev. D31 (1985), 429[APS].
- H. Matsumoto, Y. Nakano and H. Umezawa, Phys. Lett. 100A (1984), 125.
-
R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
- L. V. Keldysh, Sov. Phys. -JETP 20 (1965), 1018.
R. A. Craig, J. Math. Phys. 9 (1968), 605[CrossRef].
R. Mills, Propagators for Many-Particle Systems (Gordon and Breach Science Publisher, N. Y., 1969).
- Y. Takahashi and H. Umezawa, Prog. Theor. Phys. 8 (1952), 493[PTP].
H. Umezawa, Quantum Field Theory (North-Holland, Amsterdam, 1956).
Y. Takahashi and H. Umezawa, Nucl. Phys. 51 (1964), 193[CrossRef].
Y. Takahashi, An Introduction to Field Quantization (Pergamon Press, Oxford, 1969).
- T. Arimitsu and Y. Takahashi, in preparation to publication.
Citing Article(s) :
-
Journal of the Physical Society of Japan 68 (1999) pp. 3831-3839
:
-
Relation between TCLE Method and Relaxation Method. II
-
Mizuhiko Saeki
-
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
-
Progress of Theoretical Physics Vol. 77 No. 1 (1987) pp. 32-52
:
-
Non-Equilibrium Thermo Field Dynamics
-
Toshihico Arimitsu and Hiroomi Umezawa
-
Progress of Theoretical Physics Vol. 77 No. 1 (1987) pp. 53-67
:
-
General Structure of Non-Equilibrium Thermo Field Dynamics
-
Toshihico Arimitsu and Hiroomi Umezawa
-
Progress of Theoretical Physics Vol. 77 No. 4 (1987) pp. 825-844
:
-
Non-Equilibrium Thermodynamics and Its Corrections to Thermal Equilibrium
-
Reijiro Fukuda
-
Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 373-395
:
-
Nonequilibrium Vacuum in Thermo Field Dynamics
-
Hideki Matsumoto
-
Progress of Theoretical Physics Vol. 79 No. 3 (1988) pp. 627-644
:
-
An Effective Hamiltonian in Nonequilibrium Thermo Field Dynamics with a Reservoir
-
Hideki Matsumoto
-
Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 57-82
:
-
Self-Consistent Perturbation Method in Thermo Field Dynamics
-
Hideki Matsumoto
-
Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 939-944
:
-
Two Types of Schrödinger Time Evolution in the Formalism of Thermo Field Dynamics and Their Equivalence to the Liouville-von Neumann Equation
-
João da Providência, Masatoshi Yamamura and Atsushi Kuriyama
-
Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 617-651
:
-
The Generating Functional of the Non-Equilibrium Process
-
Masayoshi Sumino, Reijiro Fukuda and Hitoshi Higurashi
-
Progress of Theoretical Physics Vol. 87 No. 6 (1992) pp. 1377-1386
:
-
On the Canonical Equivalence of Classical Boson Expansions for Mixed States
-
Masatoshi Yamamura, Atsushi Kuriyama and João da Providência
-
Progress of Theoretical Physics Vol. 89 No. 1 (1993) pp. 59-76
:
-
Re-Analysis of the Laser Model in Thermofield Dynamics
-
Y. Georgelin and Y. Leblanc
-
Progress of Theoretical Physics Vol. 89 No. 3 (1993) pp. 607-622
:
-
Relation between Method of TCL Equation with External Terms and Relaxation Method
-
Mizuhiko Saeki
-
Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1025-1043
:
-
Transverse Susceptibilities of a Quantal Spin (S=1/2)
-
Mizuhiko Saeki
-
Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 993-1011
:
-
A Possible Description of Many-Body System Composed of Three Kinds of Boson Operators
-
Atsushi Kuriyama, João da Providência, Yasuhiko Tsue and Masatoshi Yamamura
-
Progress of Theoretical Physics Vol. 101 No. 2 (1999) pp. 373-384
:
-
Time Evolution of a Quantum System in a Medium and Mass Renormalization in the Projection Operator Method
-
Tomoi Koide, Masahiro Maruyama and Fujio Takagi
-
Progress of Theoretical Physics Vol. 102 No. 1 (1999) pp. 1-27
:
-
Out of Equilibrium Quantum Field Theory
-
Akira Niégawa
-
Progress of Theoretical Physics Vol. 103 No. 2 (2000) pp. 305-319
:
-
A Possible Description of Many-Body System Composed of Four Kinds of Boson Operators
-
Atsushi Kuriyama, João da Providência and Masatoshi Yamamura
-
Progress of Theoretical Physics Vol. 105 No. 4 (2001) pp. 573-590
:
-
Nonequilibrium Formulation in Bose-Einstein Condensed States
-
Hideki Matsumoto and Shoichi Sakamoto
-
Progress of Theoretical Physics Vol. 107 No. 4 (2002) pp. 689-702
:
-
Phase Invariant Perturbation Scheme in Bose-Einstein Condensed States
-
Hideki Matsumoto and Shoichi Sakamoto
-
Progress of Theoretical Physics Vol. 114 No. 5 (2005) pp. 907-927
:
-
A Quantum Field Theoretical Approach to the TCLE Method
-
Mizuhiko Saeki
-
Progress of Theoretical Physics Vol. 121 No. 1 (2009) pp. 165-191
:
-
Transverse Susceptibilities of Ferromagnetic Spin Wave Interacting with Phonon Reservoir
-
Mizuhiko Saeki
-
Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 95-123
:
-
Non-Equilibrium Thermo-Field Dynamics for a Fourth-Order Hamiltonian
-
Mizuhiko Saeki
-
Progress of Theoretical Physics Vol. 125 No. 5 (2011) pp. 933-955
:
-
Boltzmann Equation for Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics
-
Yuichi Mizutani and Tomohiro Inagaki
-
Progress of Theoretical Physics Vol. 126 No. 4 (2011) pp. 681-701
:
-
Canonical Quantization for a Relativistic Neutral Scalar Field in Non-Equilibrium Thermo Field Dynamics
-
Yuichi Mizutani, Tomohiro Inagaki, Yusuke Nakamura and Yoshiya Yamanaka
-
Progress of Theoretical Physics Supplement No.86 (1986) pp. 243-252
:
-
Time-Dependent Renormalization in Non-Equilibrium Thermo Field Dynamics
-
Hiroomi Umezawa and Toshihico Arimitsu