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Weyl quantization on compact Abelian groups and quantum mechanics of almost periodic systems. (English. Russian original) Zbl 0471.43008
Theor. Math. Phys. 48, 597-604 (1982); translation from Teor. Mat. Fiz. 48, 49-59 (1981).
MSC:
43A99 Abstract harmonic analysis
81S99 General quantum mechanics and problems of quantization
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References:
[1] J. M. Ziman, Principles of the Theory of Solids, C. U. P., Cambridge (1964). · Zbl 0121.44801
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[5] M. A. Shubin, ?Spectral theory and the index of elliptic operators with almost periodic coefficients,? Usp. Mat. Nauk,34, 95 (1979). · Zbl 0448.47032
[6] I. A. Shereshevski, Lett. Math. Phys. (in print).
[7] Y. Y. Slawianowski, ?Abelian groups and the Weyl approach to kinematics. Nonlocal function-algebras,? Rep. Math. Phys.,5, 259 (1974). · Zbl 0306.43007 · doi:10.1016/0034-4877(74)90037-8
[8] V. V. Zhikov and B. M. Levitan, Almost Periodic Functions and Differential Equations [in Russian], MGU, Moscow (1978). · Zbl 0414.43008
[9] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, ?Deformation theory and quantization,? Ann. Phys. (N. Y.),111, 61 (1979). · Zbl 0377.53024 · doi:10.1016/0003-4916(78)90224-5
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