Some remarks on Weyl pseudodifferential operators
Jan Derezinski (1993)
Journées équations aux dérivées partielles
Similarity:
Displaying similar documents to “An algebra of pseudo-differential operators and quantum mechanics in phase space”
Some remarks on Weyl pseudodifferential operators
Differential representations of dynamical oscillator symmetries in discrete Hilbert space.
Ruffing, Andreas (2000)
Discrete Dynamics in Nature and Society
Similarity:
Asymptotic -expansions of stationary quantum states
A. Voros (1977)
Annales de l'I.H.P. Physique théorique
Similarity:
A mathematical introduction to the Wigner formulation of quantum mechanics
Luigi Barletti (2003)
Bollettino dell'Unione Matematica Italiana
Similarity:
The paper is devoted to review, from a mathematical point of view, some fundamental aspects of the Wigner formulation of quantum mechanics. Starting from the axioms of quantum mechanics and of quantum statistics, we justify the introduction of the Wigner transform and eventually deduce the Wigner equation.
Discretized representations of harmonic variables by bilateral Jacobi operators.
Ruffing, Andreas (2000)
Discrete Dynamics in Nature and Society
Similarity:
Canonical commutation relations and interacting Fock spaces
Zied Ammari (2004)
Journées Équations aux dérivées partielles
Similarity:
We introduce by means of reproducing kernel theory and decomposition in orthogonal polynomials canonical correspondences between an interacting Fock space a reproducing kernel Hilbert space and a square integrable functions space w.r.t. a cylindrical measure. Using this correspondences we investigate the structure of the infinite dimensional canonical commutation relations. In particular we construct test functions spaces, distributions spaces and a quantization map which generalized...