João Nuno Prata []

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====== João Nuno Prata ======


===== Biography =====

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.  


===== Research Interests =====

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


===== Wigner-specific research =====

[20] Dias, N.C., Gosson, M. and Prata, J.N.: "Maximal covariance group of Wigner transforms and pseudo-differential operators", Proceedings of the American Mathematical Society 142 (2014) 3183-3192.

[19] Dias, Nuno Costa and De Gosson, Maurice A and Prata, Joao Nuno: "Metaplectic formulation of the Wigner transform and applications", Reviews in Mathematical Physics 25 (2013).

[18] Dias, N.C., Gosson, M., Luef, F. and Prata, J.N.: "Quantum Mechanics in Phase Space: The Schrodinger and the Moyal Representations", Journal of Pseudodifferential Operators and Applications 3 (2012) 367-398.

[17] Dias, N.C., Gosson, M., Luef, F. and Prata, J.N.: "A Pseudo-Differential Calculus on Non-Standard Symplectic Space; Spectral and Regularity Results in Modulation Spaces", Journal de Mathématiques Pures et Appliquées 96 (2011) 423-445.

[16] Dias, N.C., Gosson, M., Luef, F. and Prata, J.N.: "A Deformation Quantization Theory for Noncommutative Quantum Mechanics", Journal of Mathematical Physics 51 (2010) 072101.

[15] Bastos, C., Dias, N.C. and Prata, J.N.: "Wigner Measures in Noncommutative Quantum Mechanics", Communications in Mathematical Physics 299 (2010) 709-740.

[14] Dias, Nuno Costa and Prata, Joao Nuno: "The Narcowich-Wigner spectrum of a pure state", Reports on Mathematical Physics 63 (2009) 43--54.

[13] Bastos, Catarina and Bertolami, Orfeu and Dias, Nuno Costa and Prata, Joao Nuno: "Weyl--Wigner formulation of noncommutative quantum mechanics", Journal of Mathematical Physics 49 (2008) 072101.

[12] Dias, Nuno Costa and Prata, Joao Nuno: "Features of Moyal trajectories", Journal of Mathematical Physics 48 (2007) 012109.

[11] Dias, N.C., Mikovic, A. and Prata, J.N.: "Coherent States Expectation Values as Semiclassical Trajectories", Journal of Mathematical Physics 47 (2006) 082101.

[10] Dias, N.C. and Prata, J.N.: "Comment on Infinite Walls in Deformation Quantization", Annals of Physics 321 (2006) 495-502. 

[9] Dias, N.C. and Prata, J.N.: "Stargenfunctions, General Parametrized Systems and a Causal Formulation of Phase Space Quantum Mechanics", Journal of Mathematical Physics 46 (2005) 072107.

[8] Costa Dias, N and Prata, Joao Nuno: "Deformation quantization and Wigner functions", Modern Physics Letters A 20 (2005) 1371--1385.

[7] Dias, N.C. and Prata, J.N.: "Admissible States in Quantum Phase Space", Annals of Physics 313 (2004) 110-146.

[6] Dias, N.C. and Prata, J.N.: "Time Dependent Transformations in Deformation Quantization", Journal of Mathematical Physics 45 (2004) 887-901.

[5] Dias, N.C. and Prata, J.N.: "Formal Solutions of Stargenvalue Equations", Annals of Physics 311 (2004) 120.

[4] Dias, N.C. and Prata, J.N.: "Bohmian Trajectories and Quantum Phase Space Distributions", Physics Letters A 302 (2002) 261-272.

[3] Dias, Nuno Costa and Prata, Joao Nuno: "Wigner functions with boundaries", Journal of Mathematical Physics 43 (2002) 4602-4627.

[2] Dias, N.C. and Prata, J.N.: "Causal Interpretation and Quantum Phase Space", Physics Letters A 291 (2001) 355-366.
 
[1] Dias, Nuno Costa and Prata, Joao Nuno: "Generalized Weyl--Wigner map and Vey quantum mechanics", Journal of Mathematical Physics 42 (2001) 5565-5579.

===== Affiliation(s) =====

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

===== Email =====
 
[[joao.prata@mail.telepac.pt]]

===== Additional information =====

  * [[http://joaoprata.webs.com/|Personal Webpage]]