A. Voros: "An algebra of pseudodifferential operators and the asymptotics of quantum mechanics", J.Funct.Anal. 29(1978) 104--132 Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Classical Limit of Quantum Theory - Werner (1995) (Correct)
....smearing out becomes negligible anyhow. In their averaged form Wigner functions play an important role in our approach. For a discussion of states that have positive Wigner functions all the way to the classical limit see Section 4.10. C) Pseudodifferential and Fourier integral operators. Rob,Vor,Omn] Such operators have a rich mathematical theory, whose applications are by no means confined to the classical limit. However, much of the rigorous work on the classical limit has been done under this heading. The symbol of a pseudodifferential operator is just its Wigner function, so much ....
A. Voros: "An algebra of pseudodifferential operators and the asymptotics of quantum mechanics", J.Funct.Anal. 29(1978) 104--132
Extending The Transfer Function Calculus Of Time-Varying.. - Matz, Hlawatsch (Correct)
.... approximation, thereby extending the GWS based transfer function calculus to a significantly wider and practically more relevant class of LTV systems than that considered in [10, 11] We note that a different approach to related topics is taken in the theory of pseudo differential operators [6, 8, 12]. 2 EXTENDED CONCEPT OF UNDERSPREAD SYSTEMS In contrast to LTI or LFI systems (which cause only time or frequency shifts, respectively) general LTV systems shift the input signal with respect to both time and frequency. Indeed, the output signal in (1) can be written as [2, 6, 9, 10, 13] ....
A. Voros, "An algebra of pseudodifferential operators and the asymptotics of quantum mechanics," J. Funct. Anal., vol. 29, pp. 104--132, 1978.
Contraction of an Adapted Functional Calculus - Cotton And (Correct)
.... Theta OM e O where N is a nilpotent Lie group with Lie algebra n, OM is a coadjoint orbit of a compact subgroup M ae K and e O is an open dense subset of O . A combination of the Berezin calculus (Berezin [2] Rawnsley [12] on OM and a generalisation of the Weyl calculus (Weyl [16] Voros [14]) on N Theta n yields the desired calculus on O . Cahen also provides a construction for a similarly adapted calculus on V o K orbits which has prompted us to ask whether this second calculus may be obtained as a limit is some sense of the calculus on G orbits. This paper is an attempt to ....
....using the Iwasawa decomposition and better suited to contractions. 154 Cotton and Dooley 4. The Psi Calculus on G Orbits The prescription for a symbol calculus on the adjoint orbits of SL 2 (R) given in [3] amounts to a transferral of the classical Weyl correspondence on R 2 ( 16] 11] [14], 7] to the orbit O by the parametrisation Psi(y; z) R yz=2)e 1 ( Gammaz=2 Ry=2 zy 2 =8)e 2 ( Gammaz=2 Gamma Ry=2 Gamma zy 2 =8)e 3 which is a diffeomorphism from R 2 to e O = O n f GammaRe 1 g. For this reason we shall refer to it as the Psi calculus. We now ....
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Voros, A., An Algebra of Pseudodifferential Operators and the Asymptotics of Quantum Mechanics, J. Functional Anal. 29 (1979), 104--132.
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