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| nuno_costa_dias [2016/06/03 08:45] – [Wigner-specific research] weinbub | nuno_costa_dias [2019/10/30 17:55] – [Wigner-specific research] weinbub |
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| ===== Biography ===== | |
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| ===== Wigner-specific research ===== | ===== Wigner-specific research ===== |
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| [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) |
| [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). | * [[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) |
| [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. | * [[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) |
| [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. | * [[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) |
| [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. | * [[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) |
| [15] Bastos, C., Dias, N.C. and Prata, J.N.: "Wigner Measures in Noncommutative Quantum Mechanics", Communications in Mathematical Physics 299 (2010) 709-740. | * [[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) |
| [14] Dias, Nuno Costa and Prata, Joao Nuno: "The Narcowich-Wigner spectrum of a pure state", Reports on Mathematical Physics 63 (2009) 43--54. | * [[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) |
| [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. | * [[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) |
| [12] Dias, Nuno Costa and Prata, Joao Nuno: "Features of Moyal trajectories", Journal of Mathematical Physics 48 (2007) 012109. | * [[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) |
| [11] Dias, N.C., Mikovic, A. and Prata, J.N.: "Coherent States Expectation Values as Semiclassical Trajectories", Journal of Mathematical Physics 47 (2006) 082101. | * [[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) |
| [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. | |
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| [8] Costa Dias, N and Prata, Joao Nuno: "Deformation quantization and Wigner functions", Modern Physics Letters A 20 (2005) 1371--1385. | |
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| [7] Dias, N.C. and Prata, J.N.: "Admissible States in Quantum Phase Space", Annals of Physics 313 (2004) 110-146. | |
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| [6] Dias, N.C. and Prata, J.N.: "Time Dependent Transformations in Deformation Quantization", Journal of Mathematical Physics 45 (2004) 887-901. | |
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| [5] Dias, N.C. and Prata, J.N.: "Formal Solutions of Stargenvalue Equations", Annals of Physics 311 (2004) 120. | |
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| [4] Dias, N.C. and Prata, J.N.: "Bohmian Trajectories and Quantum Phase Space Distributions", Physics Letters A 302 (2002) 261-272. | |
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| [3] Dias, Nuno Costa and Prata, Joao Nuno: "Wigner functions with boundaries", Journal of Mathematical Physics 43 (2002) 4602-4627. | |
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| [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. | |
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| * Grupo de Física Matemática, Complexo Interdisciplinar da Universidade de Lisboa, Portugal | * Grupo de Física Matemática, Complexo Interdisciplinar da Universidade de Lisboa, Portugal |
| ===== Email ===== | |
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| [[ncdias@meo.pt]] | |
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| ===== Additional information ===== | ===== Additional information ===== |
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| * [[http://gfm.cii.fc.ul.pt/people/ncdias/|University Profile]] | * [[http://gfm.cii.fc.ul.pt/people/ncdias/|University Profile]] |
