科研之友
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摘要
We introduce a class of pseudodifferential operators (A) over tilde omega acting on functions defined on an arbitrary symplectic space (R-2n, omega). These operators arise naturally when one considers the generalized commutation relations from non-commutative quantum mechanics. The connection with the usual Weyl operator (A) over cap with symbol a is made using a family of intertwiners W-g defined in terms of the cross-Wigner transform W(f,g). We show that if a belongs to some adequate Shubin symbol classes there is a simple relation between the eigenvalues of (A) over tilde and those of (A) over cap.
- 出版日期2011
