123 citations · 256 across the 13 of their papers we have counts for
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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…
math-ph2012
A global, dynamical formulation of quantum confined systems
Nuno Costa Dias, João Nuno Prata
A brief review of some recent results on the global self-adjoint formulation of systems with boundaries is presented. We specialize to the 1-dimensional case and obtain a dynamical…