{"id":874,"date":"2025-01-30T04:26:16","date_gmt":"2025-01-30T04:26:16","guid":{"rendered":"https:\/\/gravityweb.xyz\/?page_id=874"},"modified":"2025-05-08T22:51:21","modified_gmt":"2025-05-08T22:51:21","slug":"person-4","status":"publish","type":"page","link":"https:\/\/gravityweb.xyz\/?page_id=874","title":{"rendered":"Francisco J. Turrubiates Sald\u00edvar"},"content":{"rendered":"\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Francisco\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Francisco J. Turrubiates Sald\u00edvar <\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Professor of the Department of Physics at the School of Physics and Mathematics in the National Polytechnic Institute, Mexico (ESFM-IPN).<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Areas of Research:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Cosmology, Mathematical Physics, Non-Linear Systems and Quantum Theory<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

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Email:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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fjtgravityweb@gmail.com<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Research Interests <\/div><\/span>\n\t\t\t\t\t\t\t\n\t\t\t<\/path><\/svg><\/span>\n\t\t\t<\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t
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Publications <\/div><\/span>\n\t\t\t\t\t\t\t\n\t\t\t<\/path><\/svg><\/span>\n\t\t\t<\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t
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Research Papers <\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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  1. Linear graviton as a quantum particle<\/strong> M. Przanowski, M. Dobrski, J. Tosiek, F. J. Turrubiates<\/em> Classical and Quantum Gravity 41 (9), 095006, 2024 DOI: 10.1088\/1361-6382\/ad31d2<\/a><\/li>
  2. Wigner function for polymer particle and Galileo relativity\u00a0<\/strong>H. A. Morales-T\u00e9cotl, M. Rivera, F. J. Turrubiates, K. Villa\u00a0<\/em>Annals of Physics 452, 169298, 2023 DOI: https:\/\/doi.org\/10.1016\/j.aop.2023.169298<\/a><\/li>
  3. Construction of a photon position operator with commuting components from natural axioms\u00a0<\/strong>M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates\u00a0<\/em>Physical Review A 107 (4), 042208, 2023 DOI:\u00a0https:\/\/doi.org\/10.1103\/PhysRevA.107.042208<\/a><\/li>
  4. Canonical Photon Position Operator with Commuting Components\u00a0<\/strong>M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates\u00a0<\/em>Workshop on Geometric Methods in Physics, 95-104, 2022 DOI: https:\/\/doi.org\/10.1007\/978-3-031-30284-8_11<\/a><\/li>
  5. Geometrical interpretation of the photon position operator with commuting components\u00a0<\/strong>M. Dobrski, M. Przanowski, J. Tosiek, F. J. Turrubiates\u00a0<\/em>Physical Review A 104 (4), 042206, 2021 DOI:\u00a0https:\/\/doi.org\/10.1103\/PhysRevA.104.042206<\/a><\/li>
  6. The Weyl\u2013Wigner\u2013Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function\u00a0<\/strong>M. Przanowski, J. Tosiek, F. J. Turrubiates <\/em>Fortschritte der Physik 69 (1), 2000061, 2021 DOI: https:\/\/doi.org\/10.1002\/prop.202000061<\/a><\/li>
  7. The Weyl\u2013Wigner\u2013Moyal Formalism on a Discrete Phase Space\u00a0<\/strong>M. Przanowski, J. Tosiek, F. J. Turrubiates <\/em>Geometric Methods in Physics XXXVIII: Workshop, Bia\u0142owie\u017ca, Poland, 2019 …, 2020 DOI: https:\/\/doi.org\/10.1007\/978-3-030-53305-2_20<\/a><\/li>
  8. The Weyl\u2010Wigner\u2010Moyal Formalism on a Discrete Phase Space. I. A Wigner Function for a Nonrelativistic Particle with Spin\u00a0<\/strong>M. Przanowski, J. Tosiek, F. J. Turrubiates <\/em>Fortschritte der Physik 67 (12), 1900080, 2019 DOI: https:\/\/doi.org\/10.1002\/prop.201900080<\/a><\/li>
  9. A phase space description of the FLRW quantum cosmology in Ho\u0159ava\u2013Lifshitz type gravity\u00a0<\/strong>R. Cordero, H. Garc\u00eda-Compe\u00e1n, F. J. Turrubiates <\/em>General Relativity and Gravitation 51 (10), 138, 2019 DOI: https:\/\/doi.org\/10.1007\/s10714-019-2627-x<\/a><\/li>
  10. Uncertainty relations in quantum optics. Is the photon intelligent?\u00a0<\/strong>M. Przanowski, H. Garc\u00eda-Compe\u00e1n, J. Tosiek, F. J. Turrubiates <\/em>Annals of Physics 373, 123-144, 2016 DOI: https:\/\/doi.org\/10.1016\/j.aop.2016.06.022<\/a><\/li>
  11. The Wentzel\u2013Kramers\u2013Brillouin approximation method applied to the Wigner function<\/strong>\u00a0J. Tosiek, R. Cordero, F. J. Turrubiates <\/em>Journal of Mathematical Physics 57 (6), 2016 DOI: https:\/\/doi.org\/10.1063\/1.4954071<\/a><\/li>
  12. An application of the WKB method in deformation quantisation\u00a0<\/strong>J. Tosiek, R. Cordero, F. J. Turrubiates<\/em>, 2015 DOI: https:\/\/doi.org\/10.48550\/arXiv.1502.05497<\/a><\/li>
  13. The Phase Space Quantum Description of Linearized Gravitational Field\u00a0<\/strong>H. Garc\u00eda-Compe\u00e1n, F. J. Turrubiates<\/em> THE THIRTEENTH MARCEL GROSSMANN MEETING: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, 2015 DOI: https:\/\/doi.org\/10.1142\/9789814623995_0334<\/a><\/li>
  14. On a phase space quantum description of the spherical 2-brane\u00a0<\/strong>R. Cordero, F. J. Turrubiates, J. C. Vera\u00a0 <\/em>Physica Scripta 89 (7), 075001, 2014 DOI: 10.1088\/0031-8949\/89\/7\/075001<\/a><\/li>
  15. Dissipative Scalar Field Theory via Deformation Quantization\u00a0<\/strong>I. Carrillo-Ibarra, H. Garcia-Compean, F. J. Turrubiates <\/em>International Journal of Modern Physics A 28 (16), 1350068, 2013 DOI: https:\/\/doi.org\/10.1142\/S0217751X13500681<\/a><\/li>
  16. Ground-state Wigner functional of linearized gravitational field\u00a0<\/strong>H. Garc\u00eda-Compe\u00e1n, F. J. Turrubiates <\/em>International Journal of Modern Physics A 26 (30n31), 5241-5259, 2011 DOI: https:\/\/doi.org\/10.1142\/S0217751X11054899<\/a><\/li>
  17. Quantum string cosmology in the phase space\u00a0<\/strong>R. Cordero, E. D\u00edaz, H. Garc\u00eda\u2010Compe\u00e1n, F. J. Turrubiates <\/em>AIP Conference Proceedings 1396 (1), 114-123, 2011 DOI: https:\/\/doi.org\/10.1063\/1.3647533<\/a><\/li>
  18. Deformation quantization of cosmological models\u00a0<\/strong>R. Cordero, H. Garc\u00eda-Compe\u00e1n, F. J. Turrubiates\u00a0<\/em>Physical Review D\u2014Particles, Fields, Gravitation, and Cosmology 83 (12), 125030, 2011 DOI: https:\/\/doi.org\/10.1103\/PhysRevD.83.125030<\/a>\u00a0<\/li>
  19. Deformation quantization of fermi fields\u00a0<\/strong>I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates\u00a0<\/em>Annals of Physics 323 (4), 827-844, 2008 DOI: https:\/\/doi.org\/10.1016\/j.aop.2007.05.006<\/a><\/li>
  20. Weyl\u2013Wigner\u2013Moyal formalism for Fermi classical systems\u00a0<\/strong>I. Galaviz, H. Garcia-Compean, M. Przanowski, F. J. Turrubiates <\/em>Annals of Physics 323 (2), 267-290, 2008 DOI: https:\/\/doi.org\/10.1016\/j.aop.2007.04.004<\/a><\/li>
  21. The damped harmonic oscillator in deformation quantization\u00a0<\/strong>G. Dito, F. J. Turrubiates <\/em>Physics Letters A 352 (4-5), 309-316, 2006 DOI: https:\/\/doi.org\/10.1016\/j.physleta.2005.12.013<\/a><\/li>
  22. On Uncertainty Relations and States in Deformation Quantization\u00a0<\/strong>M. Przanowski, F. J. Turrubiates <\/em>Topics In Mathematical Physics, General Relativity And Cosmology In Honor Of Jerzy Plebanski, 2006 DOI: https:\/\/doi.org\/10.1142\/9789812772732_0030<\/a><\/li>
  23. Uncertainty relations in deformation quantization\u00a0<\/strong>M. Przanowski, F. J. Turrubiates <\/em>Journal of Physics A: Mathematical and General 35 (49), 10643, 2002 DOI: 10.1088\/0305-4470\/35\/49\/312<\/a><\/li>
  24. Deformation quantization of geometric quantum mechanics<\/strong>\u00a0H. Garc\u00eda-Compe\u00e1n, J. F. Plebanski, M. Przanowski, F. J. Turrubiates\u00a0<\/em>Journal of Physics A: Mathematical and General 35 (19), 4301, 2002 DOI: 10.1088\/0305-4470\/35\/19\/311<\/a><\/li>
  25. Deformation quantization of classical fields\u00a0<\/strong>H. Garcia-Compean, J. F. Pleba\u0144ski, M. Przanowski, F. J. Turrubiates <\/em>International Journal of Modern Physics A 16 (14), 2533-2558, 2001 DOI: https:\/\/doi.org\/10.1142\/S0217751X01003652<\/a> \u00a0<\/li>
  26. Induced symplectic connection on the phase space\u00a0<\/strong>J. F. Plebanski, M. Przanowski, F. J. Turrubiates <\/em>Acta Physica Polonica B 32 (1), 3, 2001<\/li>
  27. Deformation quantization of bosonic strings\u00a0<\/strong>H. Garcia-Compean, J. F. Plebanski, M. Przanowski, F. J. Turrubiates\u00a0<\/em>Journal of Physics A: Mathematical and General 33 (44), 7935, 2000 DOI: 10.1088\/0305-4470\/33\/44\/307<\/a><\/li>
  28. Matrix representation of the generalized Moyal algebra\u00a0<\/strong>J. F. Plebanski, M. Przanowski, F. J. Turrubiates<\/em>, 2000 DOI: https:\/\/doi.org\/10.48550\/arXiv.math-ph\/0008007<\/a><\/li>
  29. Remarks on deformation quantization on the cylinder\u00a0<\/strong>J. F. Plebanski, M. Przanowski, J. Tosiek, F. J. Turrubiates\u00a0<\/em>Acta Physica Polonica B 31 (3), 561, 2000<\/li>
  30. Weyl-Underhill-Emmrich quantization and the Stratonovich-Weyl quantizer\u00a0<\/strong>J. F. Plebanski, M. Przanowski, F. J. Turrubiates\u00a0<\/em>Journal of Physics A: Mathematical and General 33 (4), 795, 2000 DOI: 10.1088\/0305-4470\/33\/4\/312<\/a><\/li>
  31. Nonlinear Graviton as a Limit of sl (N; C) Chiral Fields as N–> infty\u00a0<\/strong>M. Przanowski, S. Formanski, F. J. Turrubiates<\/em>, 1999 DOI: https:\/\/doi.org\/10.48550\/arXiv.gr-qc\/9905078<\/a><\/li>
  32. Nonlinear graviton as a limit of sl (N; C) chiral fields as N–> infty\u00a0<\/strong>M. Przanowski, S. Forma\u0144ski, F. J. Turrubiates <\/em>Modern Physics Letters A 13 (40), 3193-3200, 1998 DOI: https:\/\/doi.org\/10.1142\/S0217732398003405<\/a><\/li>
  33. Differential Forms, Hopf Algebra and General Relativity I\u00a0<\/strong>J. F. Plebanski, G. R. Moreno, F. J. Turrubiates<\/em>, 1997 DOI: https:\/\/doi.org\/10.48550\/arXiv.gr-qc\/9702024<\/a><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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    Editor<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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    1. The influence of Solomon Lefschetz in geometry and topology: 50 years of mathematics at CINVESTAV <\/strong>L. Katzarkov<\/em>, <\/strong>E. Lupercio, F. J. Turrubiates\u00a0<\/em>American Mathematical Soc. Contemporary Mathematics Vol. 621, 2014 eBook ISBN: 978-1-4704-1886-1<\/a>\u00a0<\/li>
    2. Non-commutative geometry in mathematics and physics: the XI Solomon Lefschetz memorial lecture series and Topics in deformation quantization and non-commutative structures\u00a0<\/strong>G. Dito, H. Garc\u00eda-Compe\u00e1n,\u00a0 E. Lupercio, F. J. Turrubiates <\/em>American Mathematical Soc. Contemporary Mathematics Vol. 462, 2008 eBook ISBN: 978-0-8218-8141-5<\/a><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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      1. Cuantizaci\u00f3n: cien a\u00f1os despu\u00e9s de Planck<\/strong>\u00a0F. J. Turrubiates Sald\u00edvar.<\/em> Cap\u00edtulo 11 en Max Planck A Ciento Cincuenta A\u00f1os de su Nacimiento L. Garc\u00eda-Col\u00edn Scherer, J. L. del R\u00edo Correa, H. Uriarte Rivera\u00a0<\/em>El Colegio Nacional 2010 ISBN: 978-607-7630-54-8<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t\t
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