João Nuno Prata

I have a degree in Physical Engineering from the Technical University of Lisbon (1988-1993). I was an ERASMUS student at the Université Paris 7 (1992-1993). I obtained a masters degree (Diplôme d'Études Approfondies) in theoretical physics at the École Normale Supérieure in Paris (1993-94) and a PhD in Mathematical Physics at the University of Durham (U.K., 1994-1998). I am a researcher at the University of Lisbon, since 2006.

• Quantum Mechanics
• Time-Frequency Analysis
• Operator Theory
• Deformation Quantization
• Quantum Cosmology

(selection)

• Nuno Costa Dias, Maurice de Gosson, and João Nuno Prata, Maximal covariance group of Wigner transforms and pseudo-differential operators, Proc. Amer. Math. Soc. 142, 3183 (2014)
• Nuno Costa Dias, Maurice de Gosson, and João Nuno Prata, Metaplectic formulation of the Wigner transform and applications, Rev. Math. Phys. 25, 1343010 (2013)
• Nuno Costa Dias, Maurice de Gosson, Luef, F., and João Nuno Prata, Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations, J. Pseudodiff. Oper. Appl. 3, 367 (2012)
• Nuno Costa Dias, Maurice de Gosson, Luef, F., and João Nuno Prata, A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces, J. Math. Pur. Appl. 96, 423 (2011)
• Nuno Costa Dias, Maurice de Gosson, Luef, F., and João Nuno Prata, A Deformation Quantization Theory for Noncommutative Quantum Mechanics, J. Math. Phys. 51, 072101 (2010)
• Bastos, C., Nuno Costa Dias, and João Nuno Prata, Wigner Measures in Noncommutative Quantum Mechanics, Comm. Math. Phys. 299, 709 (2010)
• Nuno Costa Dias and João Nuno Prata, The Narcowich-Wigner spectrum of a pure state, Rep. Math. Phys. 63, 43 (2009)
• Bastos, Catarina, Bertolami, Orfeu, Nuno Costa Dias, and João Nuno Prata, Weyl--Wigner formulation of noncommutative quantum mechanics, J. Math. Phys. 49, 072101 (2008)
• Nuno Costa Dias and João Nuno Prata, Features of Moyal trajectories, J. Math. Phys. 48, 012109 (2007)
• Nuno Costa Dias, Mikovic, A., and João Nuno Prata, Coherent States Expectation Values as Semiclassical Trajectories, J. Math. Phys. 47, 082101 (2006)
• Nuno Costa Dias and João Nuno Prata, Comment on Infinite Walls in Deformation Quantization, Ann. Phys. 321, 495 (2006)
• Nuno Costa Dias and João Nuno Prata, Stargenfunctions, General Parametrized Systems and a Causal Formulation of Phase Space Quantum Mechanics, J. Math. Phys. 46, 072107 (2005)
• Nuno Costa Dias and João Nuno Prata, Deformation quantization and Wigner functions, Mod. Phys. Lett. A 20, 1371 (2005)
• Nuno Costa Dias and João Nuno Prata, Admissible States in Quantum Phase Space, Ann. Phys. 313, 110 (2004)
• Nuno Costa Dias and João Nuno Prata, Time Dependent Transformations in Deformation Quantization, J. Math. Phys. 45, 887 (2004)
• Nuno Costa Dias and João Nuno Prata, Formal Solutions of Stargenvalue Equations, Ann. Phys. 311, 120 (2004)
• Nuno Costa Dias and João Nuno Prata, Bohmian Trajectories and Quantum Phase Space Distributions, Phys. Lett. A 302, 261 (2002)
• Nuno Costa Dias and João Nuno Prata, Wigner functions with boundaries, J. Math. Phys. 43, 4602 (2002)
• Nuno Costa Dias and João Nuno Prata, Causal Interpretation and Quantum Phase Space, Phys. Lett. A 291, 355 (2001)
• Nuno Costa Dias and João Nuno Prata, Generalized Weyl--Wigner map and Vey quantum mechanics, J. Math. Phys. 42, 5565 (2001)

• Researcher, Mathematical Physics Groups, University of Lisbon, Portugal

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