Both sides previous revisionPrevious revisionNext revision | Previous revision |
nuno_costa_dias [2015/07/22 10:12] – [Additional information] weinbub | nuno_costa_dias [2019/10/30 18:04] (current) – [Wigner-specific research] weinbub |
---|
| |
| |
===== Biography ===== | |
| |
| |
===== Wigner-specific research ===== | ===== Wigner-specific research ===== |
| (selection) |
| |
[1] Dias, Nuno Costa and De Gosson, Maurice A and Prata, Joao Nuno: "Metaplectic formulation of the Wigner transform and applications", Reviews in Mathematical Physics, Vol.25, No.10, 2013. | * [[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) |
| |
[2] Dias, Nuno Costa and Prata, Joao Nuno: "The Narcowich-Wigner spectrum of a pure state", Reports on Mathematical Physics, Vol.63, No.1, p.43--54, 2009. | |
| |
[3] Bastos, Catarina and Bertolami, Orfeu and Dias, Nuno Costa and Prata, Joao Nuno: "Weyl--Wigner formulation of noncommutative quantum mechanics", Journal of Mathematical Physics, Vol.49, No.7, p.072101, 2008. | |
| |
[4] Costa Dias, N and Prata, Joao Nuno: "Deformation quantization and Wigner functions", Modern Physics Letters A, Vol.20, No.17n18, p.1371--1385, 2005. | |
| |
[5] Dias, Nuno Costa and Prata, Joao Nuno: "Wigner functions with boundaries", Journal of Mathematical Physics, Vol.43, No.10, p.4602--4627, 2002. | |
| |
[6] Dias, Nuno Costa and Prata, Joao Nuno: "Generalized Weyl--Wigner map and Vey quantum mechanics", Journal of Mathematical Physics, Vol.42, No.12, p.5565--5579, 2001. | |
| |
===== Affiliation(s) ===== | ===== Affiliation(s) ===== |
| |
| * Grupo de Física Matemática, Complexo Interdisciplinar da Universidade de Lisboa, Portugal |
===== Email ===== | |
| |
[[ncdias@meo.pt]] | |
| |
===== Additional information ===== | ===== Additional information ===== |
| |
* [[http://gfm.cii.fc.ul.pt/people/ncdias/|University Profile]] | * [[http://gfm.cii.fc.ul.pt/people/ncdias/|University Profile]] |