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 =====
(selection)

  * [[Nuno Costa Dias]], [[Maurice de Gosson]], and [[João Nuno Prata]], [[https://www.ams.org/journals/proc/2014-142-09/S0002-9939-2014-12311-2/S0002-9939-2014-12311-2.pdf|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]], [[https://www.worldscientific.com/doi/abs/10.1142/S0129055X13430101|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]], [[https://link.springer.com/article/10.1007/s11868-012-0054-9|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]], [[https://www.sciencedirect.com/science/article/pii/S0021782411000912|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]], [[https://aip.scitation.org/doi/10.1063/1.3436581|A Deformation Quantization Theory for Noncommutative Quantum Mechanics]], J. Math. Phys. **51**, 072101 (2010)
  * Bastos, C., [[Nuno Costa Dias]], and [[João Nuno Prata]], [[https://link.springer.com/article/10.1007/s00220-010-1109-5|Wigner Measures in Noncommutative Quantum Mechanics]], Comm. Math. Phys. **299**, 709 (2010)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0034487709000081|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]], [[https://aip.scitation.org/doi/full/10.1063/1.2944996|Weyl--Wigner formulation of noncommutative quantum mechanics]], J. Math. Phys. **49**, 072101 (2008)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://aip.scitation.org/doi/full/10.1063/1.2409495|Features of Moyal trajectories]], J. Math. Phys. **48**, 012109 (2007) 
  * [[Nuno Costa Dias]], Mikovic, A., and [[João Nuno Prata]], [[https://aip.scitation.org/doi/10.1063/1.2227259|Coherent States Expectation Values as Semiclassical Trajectories]], J. Math. Phys. **47**, 082101 (2006) 
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0003491605001922|Comment on Infinite Walls in Deformation Quantization]], Ann. Phys. **321**, 495 (2006)  
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://aip.scitation.org/doi/10.1063/1.1948327|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]], [[https://www.worldscientific.com/doi/abs/10.1142/S0217732305017822|Deformation quantization and Wigner functions]], Mod. Phys. Lett. A **20**, 1371 (2005)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0003491604000648|Admissible States in Quantum Phase Space]], Ann. Phys. **313**, 110 (2004)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://aip.scitation.org/doi/10.1063/1.1641152|Time Dependent Transformations in Deformation Quantization]], J. Math. Phys. **45**, 887 (2004)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0003491603002690|Formal Solutions of Stargenvalue Equations]], Ann. Phys. **311**, 120 (2004)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0375960102011751|Bohmian Trajectories and Quantum Phase Space Distributions]], Phys. Lett. A **302**, 261 (2002)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://aip.scitation.org/doi/abs/10.1063/1.1504885|Wigner functions with boundaries]], J. Math. Phys. **43**, 4602 (2002)
  * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://www.sciencedirect.com/science/article/pii/S0375960101007472|Causal Interpretation and Quantum Phase Space]], Phys. Lett. A **291**, 355 (2001)
   * [[Nuno Costa Dias]] and [[João Nuno Prata]], [[https://aip.scitation.org/doi/10.1063/1.1415086|Generalized Weyl--Wigner map and Vey quantum mechanics]], J. Math. Phys. **42**, 5565 (2001)


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

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


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

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