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Thermal Lie Groups, Classical Mechanics, And Thermofield Dynamics

A. Santana, F. Khanna, H. Chu, Y. Chang
Published 1996 · Physics

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Abstract The concept of thermoalgebra, a kind of representation for the Lie-symmetries developed in connection with thermal quantum field theory, is extended to study unitary representations of the Galilei group for thermal classical systems. One of the representations results in the first-quantized Schonberg formalism for the classical statistical mechanics. Furthermore, the close analogy between thermal classical mechanics and thermal quantum field theory is analysed, and such an analogy is almost exact for harmonic oscillator systems. The other unitary representation studied results in a field-operator version of the Schonberg approach. As a consequence, in this case the counterpart of the thermofield dynamics (TFD) in classical theory is identified as both the first and second-quantized form of the Liouville equation. Non-unitary representations are also studied, being, in this case, the Lie product of the thermoalgebra identified as the Poisson brackets. A representation of the thermalSU(1, 1) is analysed, such that the tilde variables (introduced in TFD) are functions in a double phase space. As a result the equations of motion for dissipative classical oscillators are derived.
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This paper is referenced by
10.1016/J.AOP.2016.09.014
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Altino F. Santos (2016)
10.1016/j.physrep.2014.02.002
Quantum field theory on toroidal topology: Algebraic structure and applications
Faqir Chand Khanna (2014)
10.1142/S0217732319500159
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Altino F. Santos (2019)
10.1140/epjc/s10052-008-0603-9
D-branes as coherent states in the open string channel
M. B. Cantcheff (2008)
10.1142/S0217751X19500441
Thermal corrections for gravitational Möller scattering
Altino F. Santos (2019)
10.1016/J.PHYSLETB.2005.03.048
Closed string thermal torus from thermo field dynamics
M. Abdalla (2005)
10.1155/2018/4596129
Lorentz Violation, Möller Scattering, and Finite Temperature
Altino F. Santos (2018)
10.1155/2018/1928280
Stefan-Boltzmann Law and Casimir Effect for the Scalar Field in Phase Space at Finite Temperature
R. G. G. Amorim (2018)
10.1103/PhysRevD.93.065015
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10.1007/s10773-017-3343-5
On Fermion-Graviton Scattering at Finite Temperature
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10.1142/S0217751X19501288
Casimir effect and Stefan-Boltzmann law in Yang-Mills theory at finite temperature
Altino F. Santos (2019)
10.1016/j.physletb.2019.02.033
On Lorentz violation in e− + e+ → μ− + μ+ scattering at finite temperature
P. R. A. Souza (2019)
10.1007/s10773-016-3156-y
Gravitational Casimir Effect at Finite Temperature
Altino F. Santos (2016)
10.1103/PhysRevD.86.086006
String in AdS Black Hole: A Thermo Field Dynamic Approach
M. B. Cantcheff (2012)
10.1016/J.PHYSA.2008.04.015
Fock space for fermion-like lattices and the linear Glauber model
É. M. Silva (2008)
10.1142/S0218271820500455
Casimir effect and Stefan–Boltzmann law at finite temperature in a Friedmann–Robertson–Walker universe
Ângela F.S. Santos (2020)
10.1103/PhysRevD.93.125028
Operator description for thermal quantum field theories on an arbitrary path in the real time formalism
Ashok Kumar Das (2016)
10.1142/S0217751X19500374
Quantum field theory in phase space
R. G. G. Amorim (2019)
10.1016/j.physa.2010.04.030
Non-linear Liouville and Shrödinger equations in phase space
M.C.B. Fernandes (2010)
10.1142/S0217751X17501329
Casimir effect for the Higgs field at finite temperature
Altino F. Santos (2017)
10.1155/2019/2031075
On Gravitational Casimir Effect and Stefan-Boltzmann Law at Finite Temperature
Sérgio Costa Ulhoa (2019)
10.1016/J.PHYSLETB.2016.09.049
Standard Model Extension and Casimir effect for fermions at finite temperature
A. Santos (2016)
10.1007/S10773-017-3451-2
Parity-Violating in e−e+ Scattering at Finite Temperature
M. Chekerker (2017)
10.1016/J.AOP.2009.04.010
Thermoalgebras and path integral
F. C. Khanna (2009)
10.1016/S0378-4371(99)00606-8
Symmetry groups, density-matrix equations and covariant Wigner functions
A. Santana (2000)
10.1143/JPSJ.79.044402
Thermofield Dynamics for Two-Dimensional Dissipative Mesoscopic Circuit Coupled to a Power Source
J. Choi (2010)
TFD Extension of the Open String Field Theory
Marcelo Botta Cantcheff (2016)
10.1088/0305-4470/36/13/315
Galilean Duffin–Kemmer–Petiau algebra and symplectic structure
M. Fernandes (2003)
10.1142/S021773231850061X
Lorentz violation, Gravitoelectromagnetism and Bhabha Scattering at finite temperature
Altino F. Santos (2018)
10.1155/2020/5193692
Non-Abelian Gravitoelectromagnetism and applications at finite temperature
Ângela F.S. Santos (2020)
10.1142/S0217751X20500669
On Stefan-Boltzmann law and the Casimir effect at finite temperature in the Schwarzschild spacetime.
Anthony Fellipe Santos (2020)
10.1590/S1806-11172005000300023
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P. T. Muzy (2005)
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