publication . Preprint . 2006

Positive Nonlinear Dynamical Group Uniting Quantum Mechanics and Thermodynamics

Beretta, Gian Paolo;
Open Access English
  • Published: 27 Dec 2006
We discuss and motivate the form of the generator of a nonlinear quantum dynamical group 'designed' so as to accomplish a unification of quantum mechanics (QM) and thermodynamics. We call this nonrelativistic theory Quantum Thermodynamics (QT). Its conceptual foundations differ from those of (von Neumann) quantum statistical mechanics (QSM) and (Jaynes) quantum information theory (QIT), but for thermodynamic equilibrium (TE) states it reduces to the same mathematics, and for zero entropy states it reduces to standard unitary QM. The nonlinear dynamical group of QT is construed so that the second law emerges as a theorem of existence and uniqueness of a stable eq...
free text keywords: Quantum Physics
Download from
39 references, page 1 of 3

[1] V. Gorini and E.C.G. Sudarshan, in Foundations of Quantum Mechanics and Ordered Linear Spaces (Advanced Study Institute, Marburg, 1973), Editors A. Hartk¨amper and H. Neumann, Lecture Notes in Physics, vol. 29, p.260-268.

[2] V. Gorini, A. Kossakowski and E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976).

[3] G. Lindblad, Commun. Math. Phys. 48, 119 (1976).

[4] E.B. Davies, Rep. Math. Phys. 11, 169 (1977).

[5] H. Spohn and J. Lebowitz, Adv. Chem. Phys. 38, 109 (1978).

[6] R. Alicki, J. Phys. A 12, L103 (1979).

[7] B. Misra, I. Prigogine, and M. Courbage , Proc. Natl. Acad. Sci. USA, 76, 3607, 4768 (1979).

[8] M. Courbage and I. Prigogine, Proc. Natl. Acad. Sci. USA, 80, 2412 (1983).

[9] G.P. Beretta, in Frontiers of Nonequilibrium Statistical Physics, proceedings of the NATO Advanced Study Institute, Santa Fe, June 1984, Editors G.T. Moore and M.O. Scully (NATO ASI Series B: Physics 135, Plenum Press, New York, 1986), p. 193 and p. 205.

[10] G.P. Beretta, in The Physics of Phase Space, edited by Y.S. Kim and W.W. Zachary (Lecture Notes in Physics 278, Springer-Verlag, New York, 1986), p. 441.

[11] H. Margenau, The Nature of Physical Reality, McGraw-Hill, 1950.

[12] J.L. Park, Am. J. Phys. 36, 211 (1968).

[13] J. von Neumann, Mathematical Foundations of Quantum Mechanics, Engl. transl. of the 1931 German edition by R.T. Beyer, Princeton University Press, 1955, pp. 295-346.

[14] D. Bohm and J. Bub, Rev. Mod. Phys. 38, 453 (1966).

[15] J.L. Park, Philosophy of Science, 35 205, 389 (1968).

39 references, page 1 of 3
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue