Dr. ADRIAN MAURICIO ESCOBAR RUIZ
I am Adrián Mauricio Escobar Ruiz, currently at the Physics Department of Metropolitan Autonomous University Campus Iztapalapa. My research is in Mathematical Physics primarily focused on the use of symmetries in classical and quantum mechanics. This includes, among other things, perturbative and variational methods in Molecular and Atomic Physics; the classification of (super)integrable higher order Hamiltonian systems; the classical and quantum N-body problem; the semiclassical expansion in QM and QFT, and the phenomenology of Lorentz symmetry breaking.
PERSONAL INFORMATION
Born
- Mexico city, Mexico, June 12, 1985
Citizenship
- Mexican
RESEARCH INTERESTS
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)
EDUCATION
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
MEMBERSHIPS
2017 – 2025
- National System of Researchers, Mexico (SNI) Level I
TEACHING EXPERIENCE
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
SKILLS
Languages
- Spanish
- English
- Basic French
Coding
- Fortran
- Python
- Mathematica
- Tex
AWARDS AND SCHOLARSHIPS
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
EDITORIAL WORK
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
RECENT CONFERENCE AND SEMINAR TALKS
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
RECENT PUBLICATIONS
-
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