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1
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0035332378
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We refer to this paper as Q1 throughout the present paper
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G. Ordonez, T. Petrosky, and I. Prigogine, Phys. Rev. A 63, 052106 (2001). We refer to this paper as Q1 throughout the present paper.
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Phys. Rev. A
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Ordonez, G.1
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We refer to this paper as Q2 throughout the present paper
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T. Petrosky, G. Ordonez, and I. Prigogine, Phys. Rev. A 64, 062101 (2001). We refer to this paper as Q2 throughout the present paper.
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Phys. Rev. A
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Petrosky, T.1
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Karpov, E.1
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Pronko, G.4
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8
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0000690103
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L.A. Khalfin, Zh. Éksp. Theor. Fiz. 33, 1371 (1957) [Sov. Phys. JETP 6, 1053 (1958)].
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Sov. Phys. JETP
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18
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84983706471
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We add this important condition in addition to the conditions enumerated in Q1 [see Eq. (Q1.5.11)]
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We add this important condition in addition to the conditions enumerated in Q1 [see Eq. (Q1.5.11)].
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19
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84983711334
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note
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In Q2 we have used condition (7), which is a replacement of another condition on the energy uncertainty in our other paper Q1. Since the energy fluctuation that is proportional to hℏ vanishes in the classical case, we rather use Eq. (7) to specify the classical Λ.
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21
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84972505242
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I.E. Segal, Ill. J. Math. 6, 500 (1962); Mathematical Problems of Relativistic Physics (American Mathematical Society, Providence, RI, 1963).
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Segal, I.E.1
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22
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84972505242
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American Mathematical Society, Providence, RI
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I.E. Segal, Ill. J. Math. 6, 500 (1962); Mathematical Problems of Relativistic Physics (American Mathematical Society, Providence, RI, 1963).
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Mathematical Problems of Relativistic Physics
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27
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0003484950
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Springer Lecture Notes on Physics (Springer, New York)
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A. Böhm and M. Gadella, Dirac Kets, Gamow Vectors and Gelfand Triplets, Springer Lecture Notes on Physics Vol. 348 (Springer, New York, 1989).
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Böhm, A.1
Gadella, M.2
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30
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84983706021
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note
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In order to obtain consistent form of distributions in the integrand over k, we have to take the limit Ω → ∞ first, and then take the limit ∈ → 0+ in the continuous spectrum limit.
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35
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0002147052
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I. Prigogine, C. George, F. Henin, and L. Rosenfeld, Chem. Scr. 4, 5 (1973).
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Chem. Scr.
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Prigogine, I.1
George, C.2
Henin, F.3
Rosenfeld, L.4
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41
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George, C.1
Henin, F.2
Mayne, F.3
Prigogine, I.4
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45
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84983706074
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note
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M related to the ultraviolet cutoff frequency, as discussed in Appendix D.
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46
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84983700339
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All figures presented in this paper have been produced by C. O. Ting
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All figures presented in this paper have been produced by C. O. Ting.
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50
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0142083796
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edited by D. P. Sheehan, AIP Conf. Proc. No. 643 (AIP, Melville, NY)
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T. Petrosky and G. Ordonez, in Quantum Limits of the Second Law, edited by D. P. Sheehan, AIP Conf. Proc. No. 643 (AIP, Melville, NY, 2000), p.59.
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Quantum Limits of the Second Law
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Petrosky, T.1
Ordonez, G.2
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51
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0036655868
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E. Karpov, G. Ordonez, T. Petrosky, and I. Prigogine, Phys. Rev. A 66, 012109 (2002).
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Phys. Rev. A
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Karpov, E.1
Ordonez, G.2
Petrosky, T.3
Prigogine, I.4
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