Área de interés/experiencia en investigación

Me interesan diversos temas de la Física Teórica y sus aplicaciones como 

• Mecánica cuántica
• Teoría cuántica de campos
• Relatividad General
• Espacios no conmutativos
• Neurociencias 
• Finanzas cuanticas
• Funciones especiales

Publicaciones en Revistas

Teoría de Campos, Espacios no-conmutativos, Relatividad.  ​

• Roberto Cartas-Fuentevilla, Alfredo Herrera-Aguilar, V. Matlalcuatzi-Zamora, Uriel Noriega, Juan M. Romero, Anisotropic Lifshitz holography in Einstein–Proca theory with stable negative mass spectrum, Eur.Phys.J.Plus 135 (2020) 2, 155

•  Juan M. Romero, J. David Vergara,  Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric, Mod. Phys. Lett. A 30 (2015) 1550155 .

•  Alejandro Gaona,  Juan M. Romero, Hamiltonian analysis for  Lifshitz type Fields, Modern Physics Letters A Vol. 30, No. 5 (2015) 1550018,  arXiv:1411.5927.

•  Juan M. Romero,  O. González-Gaxiola, R. Bernal-Jaquez, Non-Hermitian Hydrogen Atom, Journal of Mathematical Chemistry  51, 1990 (2013).

• Juan M. Romero, Eric Escobar, Etelberto Vazquez, Free particle in very special relativity,  gauge symmetry  and two-time physics, Mod. Phys. Lett. A 28  (2013) 1350004.

•  Juan M. Romero,  Adolfo Zamora, A continuum of Hamiltonian structures for the two dimensional isotropic harmonic oscillator,  International Journal of Pure and Applied Mathematics, Vol. 85, No. 2 (2013) 297-302, arXiv:physics/0411170.

•  Juan M. Romero, J. A. Santiago, O. Gonzalez-Gaxiola, Principle action for particles faster than light, Mod. Phys. Lett. A  27 (2012) 1250060. 

• Juan M. Romero, O. Sánchez-Santos, J. D. Vergara, Lorentz violation, two-time physics and strings, Physics Letters A,  Volumen  375, Issue 44, 24 (2011) 3817-3820.

• Juan M. Romero, J. A. Santiago, O. Gonzalez-Gaxiola, A. Zamora, Electrodynamics a la Horava, Mod. Phys. Lett. A  25, 3381 (2010).

•  Juan M. Romero, R. Bernal-Jaquez, O. Gonzalez-Gaxiola, Is it possible to relate MOND with Horava Gravity? Mod. Phys. Lett. A, Vol. 25, No. 29 (2010), 2501-2506.

• Juan M. Romero, Vladimir Cuesta, J. Antonio Garcia, J. David Vergara, Conformal anisotropic mechanics and the Horava dispersion relation, Phys. Rev. D 81, 065013 (2010),  arXiv:0909.3540.

• Juan M. Romero, Adolfo Zamora, The Area Quantum and Snyder Space, Phys. Lett. B  661, 11 (2008), arXiv:0802.1250.

•  Juan M. Romero, J. D. Vergara, J. A. Santiago, Noncommutative spaces, the quantum of time and the Lorentz symmetry, Phys. Rev. D  75, 065008 (2007).

•  Juan M. Romero, Adolfo Zamora,  Alternative proposal to modified Newtonian dynamics, Phys. Rev. D  73, 027301 (2006), astro-ph/0601247.

•  Juan M. Romero, J. A. Santiago, Cosmological Constant and Noncommutativity: A Newtonian Approach, Mod. Phys. Lett. A  20, (2005) 781, hep-th/0310266.

• Juan M. Romero, Adolfo Zamora, Snyder noncommutative space-time from two-time physics, Phys. Rev. D 70, 105006 (2004), hep-th/0408193.

• Juan M. Romero, J. A. Santiago, J. David Vergara, A note about the quantum of area in a non-commutative space, Phys. Rev. D  68, 067503 (2003),  hep-th/0305080.

• Juan M. Romero, J. David Vergara,The Kepler problem and non commutativity, Mod. Phys. Lett.  A  18, 1673 (2003), hep-th/0303064.

•  Juan M. Romero, J. A. Santiago, J. David Vergara, Newton's Second Law in a Noncommutative Space, Phys. Lett. A  310, 9 (2003), hep-th/0211165.

 Biofísica 

• E. J. López-Sánchez,   Juan M. Romero,  H. Yépez-Martínez,  Fractional cable equation for general geometry: A model of axons with swellings and anomalous diffusion, Phys. Rev. E 96,  032411 (2017).
•  E. J. López-Sánchez, Juan M. Romero,  Cable equation for general geometry, Phys. Rev. E   95,  022403 (2017).
•  Juan M. Romero, Carlos Trenado-Colin, Analytical solution of a tapering cable equation for dendrites and conformal symmetry, Biophysical Reviews and Letters,  Vol 10,  (2015), pag. 175.
• Juan M. Romero, O. González-Gaxiola, G. Chacón-Acosta, Exact Solutions to Fick-Jacobs Equation, International Journal of Pure and Applied Mathematics (IJPAM): Volume  82, No. 1 (2013).

Finanzas Cuánticas 

•  Juan M. Romero,  U. Lavana, E. Martínez Miranda, Schrödinger group and quantum finance, International Journal of Pure and Applied Mathematics, Vol. 90, No. 3 (2014), 287-296. 
• Juan M. Romero, O. Gonzalez-Gaxiola, J. Ruiz de Chávez, R. Bernal-Jaquez, The Black-Scholes Equation and Certain Quantum Hamiltonians, International Journal of Pure and Applied Mathematics (IJPAM): Volume  67, No. 2 (2011)

Algunos de mis artículos se pueden ver en https://inspirehep.net/search?ln=en&ln=en&p=ea+romero%2C+juan+m&of=hb&action_search=Search&sf=earliestdate&so=d&rm=citation&rg=25&sc=0

También se pueden ver en https://scholar.google.com.mx/citations?user=ce4egR0AAAAJ&hl=en

Memorias de Congreso

•  Juan  M. Romero, Alejandro  Gaona,  A relation between massive scalar field in AdS_{d+1} and diffusion in channels, J.  Phys.:  Conf. Ser.   512, 012028 (2014).  8th International Symposium on Quantum Theory and Symmetries (QTS8) 5-9 August 2013. http://dx.doi.org/10.1088/1742-6596/512/1/012028.

•  Juan M. Romero, E. Martínez Miranda, Ulises Lavana, Conformal symmetry in quantum finance, J.  Phys.:  Conf. Ser.   512 012029 (2014) doi:10.1088/1742-6596/512/1/012029. 8th International Symposium on Quantum Theory and Symmetries (QTS8) 5-9 August 2013.

•  Juan M. Romero, V. Cuesta, J. A. Garcia, J.D Vergara, Conformal anisotropic mechanics and Horava gravity, AIP Conf.Proc.  1361 (2011) 344-348. http://dx.doi.org/10.1063/1.3622726.