Abstract
Intrinsically Irreversible Dynamical Systems allow for an exact passage to Irreversible Evolution through appropriate non-Unitary change of Representation. The property which characterises such systems is Dynamical Instability expressed by the Kolmogorov Partition and Internal Time or by the non-vanishing of the asymptotic Collision Operator. This leads to an extension of both Classical and Quantum Mechanics. Certain implications of the Kolmogorov Instability and Internal Time for Relativistic Systems as well as of the non-vanishing of the asymptotic Collision Operator for Unstable quantum systems are discussed.
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References
Schrodinger E. (1944) ’The statistical law in nature’ Nature 152, 704
Prigogine I. (1980) From being to becoming ,Freeman.
Misra B. (1978) ’Non equilibrium entropy, Liapunov variables and ergodic properties of classical systems’ P.N.A.S. U.S.A. 75, 1627
Misra B., Prigogine I., Courbage M. (1979) ’Liapounov variable,entropy and measurement in quantum mechanics’ P.N.A.S. U.S.A. 76, 4768
Misra B., Prigogine I. (1983) ’Irreversibility and non- locality’ Lett. Math. Phys. 1 421
Misra B., Prigogine I., Courbage M. (1979) ’From deterministic dynamics to probabilistic descriptions’ Physica 98A, 1
Misra B., Prigogine I. (1982) ’Time, Probability and Dynamics’ in Long Time Predictions in Dynamic Systems ed. by Horton E.W. et als, Wiley N.Y.
Goodrich R. K., Gustafson K., Misra B. (1986) ’On K -Flows and Irreversibility’ J. Stat. Phys. 42 317
GLockhart C. Misra B. (1986) ’Irreversibility and Measurement in Quantum Mechanics’ Physica 136A 47
Misra B. (1987) ’Fields as Kolmogorov flows’ J. Stat. Phys. 48 1295
Antoniou I.E. (1988) Internal Time and Irreversibility of Relativistic Dynamical Systems , Thesis Free University of Brussels.
Antoniou I.E. ,Misra B. to appear
Lax P. Phillips R. (1967) Scattering Theory Academic Press
Poincare H. (1892) Les Methods Nouvelles de la Mecanique Celeste Dover Reprint 1957
Petrosky T. Prigogine I. (1988) ’Poincare’s theorem and Unitary transformations for classical and quantum theory’ Physica 147A 459
Prigogine I. 1962 Non Equilibrium Statistical Mechanic Wiley
Prigogine I., George C., Henin F., Rosenfield L. 1973 A unified formulation of Dynamics and Thermodynamics Chem. Scr. 4 5
George C., Mayne F., Prigogine I. (1985) ’Scattering theory in superspace’ ,in Adv. Chem.Phys . 61 ,Wiley
Prigogine I. Petrosky T. 1987 ’Intrinsic Irreversibility in quantum theory’ Physica 142A 33
Prigogine I. Petrosky T. (1988) ’An alternative to quantum theory’ Physica 142A 461
Lighthill J. (1986) ’The recently recognized failure of predictability in Newtonian Dynamics’ Proc. R. Soc. London A407 35
Popper K. (1982) Quantum theory and the schism in Physic from the Postscript to the Logic of the scientific discovery Rowman and Littlefield, Otowa
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© 1989 Kluwer Academic Publishers
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Antoniou, I.E., Prigogine, I. (1989). Intrinsic Irreversibility in Classical and Quantum Mechanics. In: Bitsakis, E.I., Nicolaides, C.A. (eds) The Concept of Probability. Fundamental Theories of Physics, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1175-8_22
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DOI: https://doi.org/10.1007/978-94-009-1175-8_22
Publisher Name: Springer, Dordrecht
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