Geodesic
Weyl quantization on compact Abelian groups and the quantum mechanics of almost periodic systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 49-59

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It is shown that partial differential equations with almost periodic coefficients can be obtained by a quantization like Weyl quantization on $R^{2n}$ from Hamilton[an systems on the cotangent bundle of some infinite-dimensional manifold, the Bohr compactifieation. Hamilton[an and quantum mechanics are also constructed on the cotangent bundle of an arbitrary compact connected Abelian group. 
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     author = {M. A. Antonets and I. A. Shereshevskii},
     title = {Weyl quantization on compact {Abelian} groups and the quantum mechanics of almost periodic systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {48},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a5/}
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M. A. Antonets; I. A. Shereshevskii. Weyl quantization on compact Abelian groups and the quantum mechanics of almost periodic systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 49-59. http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a5/