Some remarks on Weyl pseudodifferential operators
Journées équations aux dérivées partielles (1993), article no. 12, 14 p. 
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     author = {Derezinski, Jan},
     title = {Some remarks on {Weyl} pseudodifferential operators},
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     eid = {12},
     pages = {1--14},
     publisher = {Ecole polytechnique},
     year = {1993},
     mrnumber = {94j:35205},
     zbl = {0802.35171},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1993____A12_0/}
}
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Derezinski, Jan. Some remarks on Weyl pseudodifferential operators. Journées équations aux dérivées partielles (1993), article  no. 12, 14 p. http://archive.numdam.org/item/JEDP_1993____A12_0/

[A] V.Arnold, Les Méthodes Mathématiques de la Mécanique classique, Éditions Mir, Moscow 1976. | MR | Zbl

[BeSh] F.Berezin, M.Shubin, Symbols of operators and quantization, Mir, Moscow, 1971.

[CV] Y.Colin De Verdiere, Spectre conjoint d'operateurs pseudodifferentielles qui commutent I, Duke Math. Journ. 46, 169-182 (1979). | MR | Zbl

[FH] R.P.Feynman and A.R.Hibbs, Quantum Mechanics and Path Integrals, Mc Graw-Hill Book Comp. 1965. | Zbl

[G] A.Grossmann, Parity operator and quantification of δ-functions, Comm.Math.Phys. 48, 191-194, (1976). | MR | Zbl

[HR1] B.Helffer and D.Robert, Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. Inst. Fourier (Grenoble) 31(3), 405-431 (1981). | Numdam | MR | Zbl

[HR2] B.Helffer and D.Robert, Calcul fonctionnel par la transform de Mellin et operateurs admissibles, Journ. Func. Anal. 53, 246-268 (1983). | MR | Zbl

[HS1] B.Helffer, J.Sjöstrand, Analyse semi-classique pour l'equation de Harper II, Mémoires de la SMF, 1988.

[HS2] B.Helffer, J.Sjöstrand, Analyse semi-classique pour l'equation de Harper III, Mémoires de la SMF, 1989.

[Hö1] L.Hörmander, The Analysis of Linear Partial Differential Operators III, Pseudo-Differential Operators, Springer. | Zbl

[Hö2] L.Hörmander, Symplectic classification of quadratic forms, manuscript 1992. | Zbl

[L] J.Leray, Analyse Lagrangienne en mécanique semiclassique, Cours au Collège de France 19761977.

[MaFe] V.P.Maslov and M.V.Fedoriuk, Semi-classical Approximation in Quantum Mechanics, MPAM No 7, Reidel, Dordrecht, 1981. | MR | Zbl

[Ro1] D.Robert, Calcul fonctionnel sur les operateurs admissibles et applications, Journ. Func. Anal. 45, 74-94 (1982). | MR | Zbl

[Ro2] D.Robert, Autour de l'approximation semi-classique, Progress in Mathematics, Vol. 68, Birkhäuser. | MR | Zbl

[RS] M.Reed and B.Simon, Methods of Modern Mathematical Physics, vols I and II, Academic Press, London. | Zbl

[Se] R.Seeley, Complex powers of an elliptic operator, Proc. Symp. Pure Math. 16, 288-307 (1967). | MR | Zbl

[Ta] M.Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton, NJ, 1981. | MR | Zbl

[Tr] F.Treves, Introduction to pseudodifferential and Fourier integral operators, Volume 1, Pseudodifferential operators, Plenum Press, New York and London, 1980. | Zbl

[U1] A.Unterberger, Oscillateur harmonique et operateurs pseudo-differentiels, Ann. Inst. Fourier 29, 201-221 (1979). | Numdam | MR | Zbl

[U2] A.Unterberger Les opérateurs métadifferentiels, Lecture notes in Physics 126, 205-241 (1980). | MR | Zbl

[We] H.Weyl, The theory of groups and quantum mechanics, Dover Publ. Co., New York (1931).

[Wi] J.Williamson, On the algebraic problem concerning the normal form of linear dynamical systems, Amer. J. Math. 58, 141-163 (1936). | JFM | Zbl

[Sj] J.Sjöstrand, «Singularités analytiques microlocales», Astérisque no 95 (1982). | Numdam | MR | Zbl

[Sh] M.Shubin, Pseudodifferential operators and spectral theory, Nauka, Moscow (1978) (in Russian). | Zbl