Born

• Mexico city, Mexico, June 12, 1985

Citizenship

• Mexican

Mathematical Physics

• Integrability and Superintegrability of classical and quantum Hamiltonian systems
• Path Integral and Feynman diagrams (Instanton calculus)
• Classical and Quantum many body-problem
• Perturbative and variational methods in quantum mechanics (atomic and molecular systems in magnetic field)

2014 | PhD, Physics

• National Autonomous University of Mexico (UNAM), Mexico
• Thesis (with Honors): Two charges on a plane in a constant magnetic field
• Advisor: Alexander V. Turbiner

2010 | MS, Physics

• National Autonomous University of Mexico (UNAM), Mexico
• Thesis: Electrostatic models for hydrogen-like molecular chains of two electrons in strong magnetic fields
• Advisor: Juan Carlos L. Vieyra

2008 | BS, Physics

• Licentiate in Physics (with Honors) National Autonomous University of Mexico (UNAM), Mexico

2017 – 2025

• National System of Researchers, Mexico (SNI) Level I

Fall 2022 | Autonomous Metropolitan University-I | México

Lecturer

• Mechanics and Chaos (Graduate)
• Introduction to Continuum Mechanics

Summer 2022 | Autonomous Metropolitan University-I | México

Lecturer

• Lab of Simulation
• Introduction to Continuum Mechanics

Spring 2022 | Autonomous Metropolitan University-I | México

Lecturer

• Advanced topics in Quantum Mechanics
• Advanced topics in Classical Mechanics

Winter 2022 | Autonomous Metropolitan University-I | México

Lecturer

• Quantum Mechanics (Graduate)
• Lab of Simulation

Fall 2021 | Autonomous Metropolitan University-I | México

Lecturer

• Introduction to QFT
• Introduction to Continuum Mechanics

Spring 2021 | Autonomous Metropolitan University-I | México

Lecturer

• Special Relativity
• Advanced topics in Quantum Mechanics

Winter 2021 | Autonomous Metropolitan University-I | México

Lecturer

• Quantum Mechanics II

Fall 2020 | Autonomous Metropolitan University-I | México

Lecturer

• Quantum Mechanics I

Summer 2020 | Autonomous Metropolitan University-I | México

Lecturer

• Mechanics and Chaos (Graduate)

Spring 2020 | Autonomous Metropolitan University-I | México

Lecturer

• Classical Mechanics

Winter 2020 | Autonomous Metropolitan University-I | México

Lecturer

• Elementary Mechanics

Fall 2014 | National Autonomous University of México | México

Teaching Assistant

• Special Relativity

Spring 2014 | National Autonomous University of México | México

Teaching Assistant

• Collective Phenomena

Fall 2011-Spring 2013 | National Autonomous University of México | México

Teaching Assistant

• Selected themes in Theoretical and Mathematical Physics

Fall 2009 | National Autonomous University of México | México

Teaching Assistant

• Electromagnetism II

Spring 2009 | National Autonomous University of México | México

Teaching Assistant

• Electromagnetism I

Languages

• Spanish
• English
• Basic French

Coding

• Fortran
• Python
• Mathematica
• Tex

September 2016-July 2019

• Postdoctoral Fellowship, CRM, Université de Montréal, Canadá

2014-August 2016

• Postdoctoral Fellowship, University of Minnesota, USA

2008-2014

• National Council of Science and Technology Scholarship, UNAM, México

2007

• Highest Distinction in Undergraduate General Scholarship, UNAM, México

Refereed for Communications in Mathematical Physics, Journal of Physics A, Physical Review D, Annals of Physics, Physics Letters A, Journal of Mathematical Physics, Physica Scripta, Journal of Mathematical Analysis and Applications, Modern Physics Letters B, European Physical Journal

Two-body Coulomb system and g(2) algebra

• Talk at XII International Symposium on Quantum Theory and Symmetries, Czech Technical University in Prague, Czech Republic, July 2023

El sistema Coulombiano de 2 cargas y el álgebra escondida g^{(2)}

• Plática en la XXXI Reunión Anual de la División de Gravitación y Física Matemática de la Sociedad Mexicana de Física, que se realizó en el Departamento de Física, CINVESTAV, el 27 y 28 de abril de 2023

Classical 4-body system in volume variables

• Ponencia en la Sección México de la Sociedad para las Matemáticas Industriales y Aplicadas, 7 a 9 de junio de 2023 en el ITAM, CDMX

Pavel Winternitz and charming lessons in Superintegrability

• Conferencia Méthodes de théorie des groupes en physique, CRM, Montréal 28 july 2021

Helium-like ions in d-dimensions: analyticity and generalized ground state Majorana solutions

• Plática en el 11º Taller de Dinámica y Estructura de la Materia, UAM-I, CDMX, 23 june 2021

Two-body neutral system in a constant magnetic field: an approximate solution

• Seminario de Estructura de la Materia, ICN, UNAM, 18 de febrero de 2021

El sistema clásico de 3 cuerpos

• Seminario de Gravitación y Física Matemática, Cinvestav, 18 de marzo 2021

Towards instanton amplitudes in QFTs: instanton calculus in 1D quantum mechanics

• Seminario Sandoval Vallarta, Instituto de Física, UNAM, 20 de noviembre 2020

• Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds. R. Azuaje and A. M. Escobar-Ruiz, Journal of Math Physics 64, 033501 (2023)

• Two-body Coulomb problem and g(2) algebra (once again about the Hydrogen atom), Alexander V. Turbiner and Adrian M. Escobar Ruiz, Physics Letters A 468 128738 (2023)

• Three-body harmonic molecule, H Olivares-Pilón, A M Escobar-Ruiz and F Montoya Molina, J. Phys. B: At. Mol. Opt. Phys. 56 075002 (2023)

• Confined hydrogen atom: endohedrals H@C36 and H@C60. H. Olivares-Pilón, A. M. Escobar-Ruiz, M. A. Quiroz-Juárez and N. Aquino, Mach. Learn.: Sci. Technol. 4 015024 (2023)

• Classical n-body system in volume variables II: Four-body case. A. M. Escobar-Ruiz and Alexander V. Turbiner, International Journal of Modern Physics A Vol. 37, No. 34 (2022) 2250209

• Classical harmonic three-body system: an experimental electronic realization. A. M. Escobar‑Ruiz, M. A. Quiroz‑Juárez, J. L. Del Rio‑Correa and N. Aquino, Sci Rep 12, 13346 (2022)

• Testing the scalar sector of the standard-model extension with neutron gravity experiments. C. A. Escobar, A. Martín-Ruiz, A. M. Escobar-Ruiz and Román Linares , Eur. Phys. J. Plus 137, 1186 (2022)

• Doubly Exotic Nth-order Order Superintegrable Classical Systems Separating in Cartesian Coordinates. Ismet Yurdusen, Adrian Mauricio Escobar Ruiz and Irlanda Palma y Meza Montoya, SIGMA 18 (2022), 039, 20 pages

• Generalized three-body oscillator system: ground state. Adrian M. Escobar Ruiz and Fidel Montoya, Acta Polytechnica 62(1):50–55, (2022)
• Helium-like ions in d-dimensions: analyticity and generalized ground state Majorana solutions. A. M. Escobar-Ruiz, H. Olivares-Pilón, N. Aquino and S. A. Cruz, J. Phys. B: At. Mol. Opt. Phys. 54 235002 (2022)
• 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 (26 pages)
• Two-body neutral Coulomb system in a magnetic field at rest: From hydrogen atom to positronium. J.C. del Valle, A. V. Turbiner and A.M. Escobar Ruiz, Physical Review A 103, 032820 (2021)
• Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl(7). Adrian M. Escobar-Ruiz, Alexander V. Turbiner and Willard Miller Jr. Journal of Mathematical Physics 62, 072103 (2021)
• From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics. Alexander V. Turbiner, Willard Miller Jr. and M A Escobar-Ruiz, Journal of Physics A 54, 015204 Published 3 December (2020)
• 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 Modern Physics A Vol. 36 No. 23 (2021) 2150168