References
R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd ed. (Addison-Wesley, Reading, Mass., 1978).
S. Albeverio, O. G. Smolyanov, and A. Yu. Khrennikov, Dokl. Math. 64, 321–325 (2001).
P. R. Chernoff and J. E. Marsden, Some Basic Properties of Infinite Dimensional Hamiltonian Systems (Springer-Verlag, Berlin, 1974).
P. A. M. Dirac, Lectures on Quantum Mechanics (Yeshiva Univ., New York, 1964; Mir, Moscow, 1968).
K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations (Springer, New York, 2000).
J. Gough, T. S. Ratiu, and O. G. Smolyanov, Dokl. Math. 89, 68–71 (2014).
V. V. Kozlov and O. G. Smolyanov, Dokl. Math. 84, 571–575 (2011).
V. V. Kozlov and O. G. Smolyanov, Theory Prob. Its Appl. 51(1), 168–181 (2007).
J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry (Springer-Verlag, Berlin, 1994).
J.-P. Ortega and T. S. Ratiu, Momentum Maps and Hamiltonian Reduction (Birkhäuser, Boston, Mass., 2004).
T. S. Ratiu and O. G. Smolyanov, Dokl. Math. 87, 289–292 (2013).
T. S. Ratiu and O. G. Smolyanov, Dokl. Math. 91, (2015).
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Original Russian Text © T.S. Ratiu, O.G. Smolyanov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 460, No. 5, pp. 525–528.
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Ratiu, T.S., Smolyanov, O.G. Wigner quantization of Hamilton-Dirac systems. Dokl. Math. 91, 114–116 (2015). https://doi.org/10.1134/S1064562415010287
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DOI: https://doi.org/10.1134/S1064562415010287