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joao_nuno_prata [2016/06/03 08:39]
weinbub created
joao_nuno_prata [2019/10/30 17:56]
weinbub [Wigner-specific research]
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 ===== Wigner-specific research ===== ===== Wigner-specific research =====
 +(selection)
  
-[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.+  * [[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]],​ JPseudodiff. 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)
  
-[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. 
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-[14] Dias, Nuno Costa and Prata, Joao Nuno: "The Narcowich-Wigner spectrum of a pure state",​ Reports on Mathematical Physics 63 (2009) 43--54. 
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-[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. 
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-[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. ​ 
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-[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. 
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-[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) ===== ===== Affiliation(s) =====
joao_nuno_prata.txt · Last modified: 2019/10/30 18:00 by weinbub