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Using the second Drinfeld formulation of the quantized universal enveloping algebra U q ( sl c 2 ) we introduce a family of its Heisenberg-type elements which are endowed with
Let us briefly describe the framework of the Dunkl theory of differential-difference operators on R d related to finite reflection groups.. The
In particular we conclude that the Lorentz covariant nonlinear Dirac equations we have explicitly studied in this paper are not gauge equivalent to the linear Dirac equation.
In this spirit, the Hilbert transform, a basic tool in signal processing and in Fourier and harmonic analysis as well, may be defined by means of partial derivatives, so that, since
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups.. We verify that the elementary canonical invariants of the sym- metric
The third Hilbert space H (P) emerges, quite naturally, as a space which is unitarily equivalent to H (S) (i.e., it represents strictly the same physics so that for the purposes
The general idea is to identify, in a canonical way, the space of linear differential operators on a manifold acting on weighted densities with the corresponding space of symbols..
Using the extended phase space formula- tion of quantum mechanics [ 11 , 12 , 13 ], Nasiri [ 9 ] has shown that in the Wigner representation of phase space quantum mechanics [ 14 ]
