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math-ph2012★ 12 cited
Quantum mechanics in phase space: The Schrödinger and the Moyal representations
Nuno Costa Dias, Maurice de Gosson, Franz Luef +1
We present a phase space formulation of quantum mechanics in the Schrödinger representation and derive the associated Weyl pseudo-differential calculus. We prove that the resulting…
math.FA2012
A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces
Nuno Costa Dias, Maurice de Gosson, Franz Luef +1
The usual Weyl calculus is intimately associated with the choice of the standard symplectic structure on . In this paper we will show that the r…