Abstract
Information theory ideas together with entropy dynamical properties are combined in order to formulate a new algorithm for the treatment of non-linear Hamiltonians, whether time dependent or not. The approach is illustrated with reference to Kostin's Hamiltonian and the General Friction one.
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Weidenmüller, H.A.: Proc. NATO Advanced Study Institute on Theoretical Methods. In: Medium-Energy and Heavy-Ion Physics, Madison, Wisconsin, p. 369. New York: Plenum Press 1978
Kan, K.K., Griffin, J.J.: Phys. Lett.50B, 241 (1974)
Kostin, M.D.: J. Stat. Phys.12, 145 (1975)
Kostin, M.D.: J. Chem. Phys.57, 3589 (1973)
Albrecht, K.: Phys. Lett.56 B, 127 (1975)
Hasse, R.W.: J. Math. Phys.16, 2005 (1975)
Hasse, R.W.: J. Phys.11 A, 1245 (1978)
Remaud, B., Hernández, E.S.: J. Phys.13 A, 2013 (1980)
Hernández, E.S.: Lawrence Berkeley Lab. preprint 10321 (1980)
Otero, D., Plastino, A., Proto, A.N., Zannoli, G.: Phys. Rev. A26, 1209 (1982)
Jaynes, E.T.: In: Brandeis Summer Institute 1962 Leetures in Theoretical Physics: Statistical Physics, Ford, W.K. (ed.). New York: Benjamin 1963, In: Delaware Seminar in the Foundations Of Physics, Bunge, M. (ed.) Berlin, Heidelberg, New York: Springer 1967
Katz, A.: Principles of Statistical Mechanics, San Francisco: Freeman 1967
Jaynes, E.T.: In: The Maximum Entropy Formalism, Levine, R.D., Tribus, M. (eds.) (MIT: Cambridge, MA 1979
Jaynes, E.T.: Phys. Rev.106 (1957) 620
Baierlein, R.: Atoms and Information Theory. San Francisco: Freeman 1971
Hobson, A.: Concepts in Statistical Mechanics. New York: Gordon and Breach 1971
Grandy, W.T., Jr.: Phys. Rep.62 (1980) 175
Alhassid, Y., Levine, R.D.: Phys. Rev. A18, 89 (1978)
Alhassid, Y., Levine, R.D.: Chem. Phys.67, 4321 (1977)
Procaccia, I., Shimoni, Y., Levine, R.D.: J. Chem. Phys.65, 3284 (1976)
Faist, M.B., Levine, R.D., Bernstein, R.B.: J. Chem. Phys.66, 511 (1977)
Levine, R.D., Steadman, S.G., Karp, J.S., Alhassid, Y.: Phys. Rev. Lett.41, 1637 (1978)
Alhassid, Y., Levine, R.D.: Phys. Rev. C20, 1775 (1979)
Alhassid, Y., Levine, R.D., Karp, J.S., Steadman, S.G.: Phys. Rev. C20, 1789 (1979)
Otero, D., Proto, A., Plastino, A.: Phys. Lett.98 B, 225 (1981)
Von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton, NJ: Princeton University Press 1955
Tolman, R.C.: The Principles of Statistical Mechanics. Oxford: Clarendon 1938
Süsmann, G.: Los Alamos seminar talk 1973 (unpublished)
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Mailing address: Av. Libertador 8250, (1429) Buenos Aires, Argentina
Mailing address: C.C. 67, (1900) La Plata, Argentina
The assistance of C. Mostaccio and S. Gordillo, from LABCAN La Plata and L. Blanco from CNEA is gratefully acknowledged.
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Otero, D., Plastino, A., Proto, A. et al. Quantal friction, nonlinear Hamiltonians, and information theory. Z Physik A 316, 323–329 (1984). https://doi.org/10.1007/BF01439904
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DOI: https://doi.org/10.1007/BF01439904