Abstract
Some unpleasant features of the usual treatment of irreversible processes in quantum mechanics are discussed. It is shown how the description of a non-relativistic unstable particle can be cleanly embedded into a reversible Galilean quantum field theory. It is proven that in the case of stable particles the embedding procedure gives the same values for internal energy which are obtained by the usual procedure. Finally the technique is applied to the ‘Galilee’ model.
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References
Araki, H., Munakata, Y., Kawaguchi, M. and Goto, T. (1957).Progress of Theoretical Physics,17, 419.
Daneri, A., Loinger, A. and Prosperi, G. M. (1962).Nuclear Physics,33, 297.
Daneri, A., Loinger, A. and Prosperi, G. M. (1966).Nuovo Cimento,44B, 119.
Glaser, V. and Källen, G. (1956–57).Nuclear Physics,2, 706.
Grecos, A. P. (1971).Physica's Gravenhage,51, 50.
Höhler, Z. (1958).Physica's Gravenhage,152, 549.
Khalfin, L. A. (1957).Žurn. Eksp. Teor. Fiz. 33, 137 (English Translation (1958):Soviet Physics JETP 6, 1053).
Lanz, L. and Lugiato, L. A. (1969).Physica's Gravenhage,44, 532.
Lanz, L. and Lugiato, L. A. (1970).Physica's Gravenhage,47, 345.
Lanz, L. and Ramella, G. (1969).Physica's Gravenhage,44, 499.
Lanz, L., Lugiato, L. A. and Ramella, G. (1971).Physica's Gravenhage,54, 94.
Lanz, L., Lugiato, L. A. and Ramella, G. (1973). On the quantum mechanical treatment of decaying non-relativistic systems,International Journal of Theoretical Physics, Vol. 8, No. 5, p. 341.
Lanz, L., Prosperi, G. M. and Sabbadini, A. (1971).Nuovo Cimento,2B, 184.
Levy, M. (1959).Nuovo Cimento,13, 115;14, 612.
Levy-Leblond, J-M. (1967).Communications in Mathematical Physics,4, 157.
Ludwig, G. (1953).Zeitschrift für Physik,135, 483.
Ludwig, G. (1954).Die Grundlagen der Quantemmechanik, Chapter 5, Springer-Verlag, Berlin.
Ludwig, G. (1955).Physikalische Blätter,11, 489.
Ludwig, G. (1970).Lecture Notes in Physics, No. 4. Springer-Verlag, Berlin.
Ludwig, G. (1972). Makroskopische Systeme und Quantenmechanik,Notes in Mathematical Physics 5, Universität Marburg.
Matthews, P. T. and Salam, A. (1958).Physical Review,112, 283.
Pauli, W. (1928). “Festschrift zum 60, Geburtstage A. Sommerfeld” Hirzel, Leipzig, p. 30.
Peierls, R. E. (1956).Proceedings of the 1954 Glasgow Conference.
Prigogine, I. (1962).Non Equilibrium Statistical Mechanics. Interscience Publ., New York.
Prosperi, G. M. (1967).Encyclopedic Dictionary of Physics, Suppl., Vol. 2. Oxford.
Rosenfeld, L. (1965).Theoretical Physics, Suppl., Extra No. 222.
Van Hove, L. (1955).Physica's Gravenhage,21, 517.
Van Hove, L. (1957).Phyica's Gravenhage,23, 441.
Wightman, A. S. (1962).Review of Modern Physics,34, 845.
Zwanzig, R. (1961).Physical Review,124, 983.
Zumino, B. (1961). Unstable particles and complex poles of the propagators, in E. R. Caianiello,Lectures on Field Theory and the Many-Body Problem. Academic Press, New York.
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Lanz, L., Lugiato, L.A., Ramella, G. et al. The embedding of unstable non-relativistic particles into Galilean quantum field theories. Int J Theor Phys 9, 1–17 (1974). https://doi.org/10.1007/BF01807112
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DOI: https://doi.org/10.1007/BF01807112