Adrián Mauricio Escobar Ruiz

Dr. Adrián Escobar obtuvo el doctorado en la UNAM (2014) con mención honorífica. Estancias Postdoctorales en la Universidad de Minnesota (EE.UU.) y en el Centre de Recherches Mathématiques de Montréal (CAN).

Publica artículos en revistas arbitradas y reconocidas en su área. Ha presentado sus trabajos de investigación en eventos científicos nacionales e internacionales. Pertenece al Sistema Nacional de Investigadores (SNI) nivel I .

Desde el 2020 es Profesor Visitante Titular C en el Departamento de Física de la UAM-I.

Intereses

Física Matemática
Sistemas Hamiltonianos Superintegrables
Integral de trayectoria, cálculo de Instantones en QM y QFT
El problema clásico y cuántico de muchos cuerpos
Sistemas atómicos y moleculares, métodos variacionales y perturbativos

Publicaciones Destacadas

Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV, M. A. Escobar-Ruiz, W Miller Jr, A. V. Turbiner, Journal of Mathematical Physics 60 (2019) 062101 doi:10.1063/1.5083129
General Nth-order superintegrable systems separating in polar coordinates, A. M. Escobar-Ruiz, P. Winternitz and I. Yurdusen, J. Phys. A: Math. Theor. 51 (2018) 40LT01 doi:10.1088/1751-8121/aadc23
Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials, A. M. Escobar-Ruiz, J. C. L. Vieyra, P. Winternitz, J. Phys. A: Math. Theor. 50 (2017) 495206 doi:10.1088/1751-8121/aa9203
Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. I, M. A. Escobar-Ruiz, E. Shuryak, A. V. Turbiner, Phys. Rev. D 93 (2016) 105039 doi:10.1103/PhysRevD.93.105039
Three-loop correction to the instanton density. I. The quartic double well potential, M. A. Escobar-Ruiz, E. Shuryak, A. V. Turbiner, Phys. Rev. D 92 (2015) 025046 doi:10.1103/PhysRevD.92.025046
Two charges on a plane in a magnetic field II: Moving neutral quantum system across magnetic field, M. A. Escobar-Ruiz, A. V. Turbiner, Annals of Physics 359 (2014) 405-418 doi:10.1016/j.aop.2014.07.010

Publicaciones Recientes

2021

Classical n-body system in geometrical and volume variables. I. Three-body case. A. M. Escobar-Ruiz, R. Linares, Alexander V Turbiner and Willard Miller Jr, International Journal of Modern Physics A Vol. 36, No. 18 (2021) 2150140 doi.org/10.1142/S0217751X21501402
Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl(7) A. M. Escobar-Ruiz, Alexander V Turbiner and Willard Miller Jr, Journal of Mathematical Physics 62, (2021) 072103 doi.org/10.1063/5.0050572
Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium, J. C. del Valle, A. V. Turbiner, A. M. E. Ruiz, Physical Review A 103 (3), (2021) 032820 doi.org/10.1103/PhysRevA.103.032820
Scalar Casimir effect for a conducting cylinder in a Lorentz violating background, A. M. Escobar-Ruiz, A. Martín-Ruiz, Escobar C. A., Román Linares, International Journal of Modern Physics A Vol. 36, No. 23, (2021) 2150168

2020

From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics, A V Turbiner, W Miller, M A Escobar-Ruiz, Journal of Physics A: Mathematical and Theoretical 54 (1), (2020) 015204
Spin s representations via sigma models, P P Goldstein, A M Grundland, A M Escobar-Ruiz, Journal of Physics Communications 4 (10), (2020) 105006
New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates, A M Escobar-Ruiz, R Linares, P Winternitz, Journal of Physics A: Mathematical and Theoretical 53 (44), (2020) 445203
Lorentz violating scalar Casimir effect for a D-dimensional sphere A Martín-Ruiz, C A Escobar, A M Escobar-Ruiz, O J Franca, Phys. Rev. D, (2020) 015027
Three-body closed chain of interactive (an) harmonic oscillators and the algebra sl(4) A V Turbiner, W Miller Jr, M A Escobar-Ruiz, Journal of Physics A: Mathematical and Theoretical 53 (5), (2020) 055302