Quantization of Alternative Hamiltonians |
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Authors: | Paweł Błasiak Andrzej Horzela |
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Institution: | (1) Polish Acad. Sci, H. Niewodnicza ski Institute of Nuclear Physics, ul. Eliasza-Radzikowskiego 152, 31 342 Krakow, Poland;(2) Laboratoire de Physique Théorique des Liquides, Université Pierre & Marie Curie, Tour 16 - 5e ét., 4 Pl. Jussieu, 75 252 Paris Cedex 05, France |
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Abstract: | We investigate quantum mechanical implications of canonically inequivalent Hamilton formulations of the Newtonian dynamics. Generated alternative quantizations, being noncanonical, are consistent with the same equations of motion, i.e., they satisfy E.Wigner's principle of quantization. As illustration we consider a noncanonical one-dimensional harmonic oscillator. |
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Keywords: | alternative structures noncanonical quantizations |
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