Sistemas Dinámicos. Integrabilidad y Superintegrabilidad

• Sistemas Hamiltonianos integrables y superintegrables de orden superior. Reducción simétrica en el problema de muchos cuerpos en mecánica clásica y cuántica. Cadenas cerradas de osciladores armónicos en d-dimensiones. Estudio de sistemas dinámicos usando redes neuronales y herramientas de machine learning.

Métodos perturbativos, algebraicos y variacionales en Mecánica Cuántica y QFT

Sistemas atómicos y moleculares en campo magnéticos. Sistemas cuasi-exactamente solubles y álgebras escondidas. Nueva expansión semiclásica (teoría de fluctones). Integral de trayectoria y diagramas de Feynman (cálculo de instantones) en Mecánica Cuántica y QFT. Aplicaciones de información cuántica en Física atómica y molecular.

-

Licenciatura:

Pérez Minguela José Manuel

Aguila Villicaña Julieta Saraí

Nancy Martínez Durán

Carillo Toledo Jesús Gabriel

Caballero Cárdenas Ricardo Misael

Montoya Molina Fidel

Baltasar Bassol Rojas

Rivera Padilla Luis Fernando

Juárez Flores Paini Miguel

Torres Solís César Alberto

Sánchez Batres Luis Alberto

Cernas Valentin Estefania

Nuñez Cervantes Emanuel

Vélez Montesinos Sara Nayeli



Supervisión de Posdoctorados:

Dr. Rafael Leonardo Azuaje Hidalgo

Estudiantes asesorados (en proceso):

Licenciatura:

Gordiano Hernández Julio Cesar

Maestría

Montoya Molina Fidel

Paini Miguel Juárez Flores

Zurita Martínez Marco Antonio

Doctorado:

Mendoza Tavera Angelina Nohemí

Descargar cv

Integrability and Superintegrability of Hamiltonian Systems



1. with R. Azuaje, Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds, Journal of Math Physics 64, 033501 (2023)

2. with M. A. Quiroz-Juarez, J. L. Del Rio-Correa and N. Aquino, Classical harmonic three-body system: an experimental electronic realization, Scientific Reports volume 12, 13346 (2022)

3. with I. Yurdusen and Irlanda Meza y Palma, Doubly Exotic Nth-order Order Superintegrable Classical Systems Separating in Cartesian Coordinates, SIGMA 18 (2022), 039

4. with R. Linares, P. Winternitz, New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates, accepted manuscript to appear in J. Phys. A: Math. Theor. (2020)

5. with A. V. Turbiner, W. Miller Jr., From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics, J. Phys. A: Math. Theor. 54 (2020) 015204

6. with A. V. Turbiner, W. Miller Jr., Three-body closed chain of interactive (an)harmonic oscillators and the algebra sl(4;R), J. Phys. A: Math. Theor. 53 (2020) 055302

7. with P. P. Goldstein, A. M. Grundland, The su(2) spin s representations via CP^{2s} sigma models, J. Phys. Commun. 4 (2020) 105006

8. with J. C. Ndogmo, Equivalence classes and Linearization of the Riccati and Abel chain, Journal of Mathematical Analysis and Applications, 475 (2019) 1818-1830

Many body problem



9. with H Olivares-Pilón y Fidel Montoya Molina. Three-body harmonic molecule. J. Phys. B: At. Mol. Opt. Phys. 56 (2023) 075002

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

11. with Alexander V. Turbiner, Classical n-body system in volume variables II: Four-body case, International Journal of Modern Physics A 37 (2023) 2250209

12. with R. Linares, Alexander V. Turbiner and Willard Miller Jr., Classical n-body system in geometrical and volume variables I: Three-body case, International Journal of Modern Physics A 36 (2021) 2150140

13. with W. Miller Jr., A. V. Turbiner, Four-body (an)harmonic oscillator in d-dimensional space: S-states, (quasi)-exact-solvability, hidden algebra sl(7), Journal of Math Physics 62 (2021) 072103

14. with W. Miller Jr., A. V. Turbiner, Four-body problem in d-dimensional space: ground state, (quasi)-exact-solvability. IV, Journal of Math Physics 60 (2019) 062101

Perturbative and variational methods in quantum mechanics



15. with H Olivares-Pilón and F Montoya Molina, Three-body harmonic molecule, J. Phys. B: At. Mol. Opt. Phys. 56 075002 (2023)

16. with Fidel Montoya, Generalized three-body oscillator system: ground state, Acta Polytechnica 62(1):50–55, (2022)

17. with H. Olivares-Pilón, N. Aquino and S. A. Cruz, Helium-like ions in d-dimensions: analyticity and generalized ground state Majorana solutions, J. Phys. B: At. Mol. Opt. Phys. 54 235002 (2022)

18. with J.C. del Valle, A. V. Turbiner, Two-body neutral Coulomb system in a magnetic field at rest: From hydrogen atom to positronium, Physical Review A 103 (2021) 032820

Casimir Effect



19. with A. Martín-Ruiz, C.A. Escobar., R. Linares, Scalar Casimir effect for a conducting cylinder in a Lorentz violating background, International Modern Physics A Vol. 36 No. 23 (2021) 2150168

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

21. with A. Martín-Ruiz, C.A. Escobar., O.J. Franca, Lorentz violating scalar Casimir effect for a D-dimensional sphere, Phys. Rev. D 102 (2020) 015027