Directorio Académico
Investigador
Turbiner Rosenbaum, Alexander
Turbiner Rosenbaum, Alexander
| Departamento o Unidad: | Departamento de Gravitación y Teoría de Campos |
| Cargo o puesto: | Investigador |
| Teléfono: | 562-33399 Ext. 3399 |
| Email institucional: | |
| Estudios: | Doctorado, fisica teorica, matematica, Institute for Theoretical and Experimental Physics (ITEP) |
| ORCID: | 0000-0002-9415-6748 |
Resumen curricular
Durante 2015 se participó como Miembro del comité organizador científico en Mathematics and Physics of Calogero-Moser-Sutherland systems (Stony Brook, EUA).
Participación como ponente en Mathematics and Physics of Calogero-Moser-Sutherland systems, con el trabajo titulado "Heun Operator" el 28 de Octubre de 2015.
Participación como ponente en Mathematics and Physics of Calogero-Moser-Sutherland systems, con el trabajo titulado "3-body elliptic Calogero model (2D-Lame operator): a solution" el 11 de Noviembre de 2015.
Participación como conferencista invitado en el 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-13), con el trabajo titulado "BC1 Lam\'e Polynomials" del 01 al 04 de Junio de 2015.
Participación en conferencia plenaria durante el evento Gauge Field Topology Workshop, llevado a cabo del 17 al 21 de agosto de 2015.
3, 5, 7, ...(2n+1)-bodies choreographies on the Lemniscate. Superintegrablility
3, 5, 7, ...(2n+1)-bodies choreographies on the Lemniscate. Superintegrablility
Coautor del libro
"El arte de resolver la ecuación de Schroedinger"
Alexander Turbiner Rosenbaum y Juan Carlos López Vieyra
https://www.nucleares.unam.mx/~vieyra/Notas_2021-final-fenomec.pdf
Materias que imparte
- El Problema de Muchos Cuerpos Cuántico y Clásico (Introducción) (Doctorado)
- Física Atómica y Molecular de Sistemas Simples (Doctorado)
- Temas Selectos de Física Teórica y Matemática II: La Ecuación de Schroedinger (Licenciatura)
- Física Atómica y Molecular de Sistemas Simples (Maestría)
- Temas Selectos de Física Matemática y Teórica III: La Ecuación de Schroedinger. Teoría y Práctica (Licenciatura)
- Sistemas Cuánticos de Muchos Cuerpos Integrables y Solubles II (Doctorado)
- Sistemas Cuánticos de Muchos Cuerpos Integrables y Solubles (Posgrado)
- Mecánica Cuántica I (Posgrado)
- Mecánica Cuántica I (Maestría)
- Seminario (Licenciatura)
- Seminario (Maestría)
- Temas Selectos de Física Matemática: Métodos No-Perturbativos (Posgrado)
- Laboratorio de Maple II (Licenciatura)
- Seminario de Física-Matemática (Licenciatura)
- Seminario sobre Física Matemática (Maestría)
- Temas Selectos de Física Matemática (Maestría)
- Temas Selectos de Física Matemática: Métodos No-Perturbativos en Mecánica (Doctorado)
Líneas de investigación
Física atómica y molecular en campos magnéticos, Métodos no-perturbativos en mecánica cuántica y teoría de campos, Problema de muchos cuerpos, cuántica y clásica
Premios, reconocimientos y distinciones
- Mejor profesor afuera de Stanford Universtity (Terman Award) (Stanford University 2023)
- Elected Associated member (Centre de Recherches Mathématiques 2013)
- Best Paper Prize (Journal Physics A (IOP) 2011)
- Miembro Advisory Panel of Journal of Physics A: Mathematical and General (Advisory Panel of Journal of Physics A : Mathematical and General 2008)
Proyectos
| Título del proyecto | Institución que financia | Cobertura |
|---|---|---|
| Métodos no perturbativos en mecánica cuántica IV | PAPIIT | Institucional |
| Sistemas Coulombianos de 3 electrones en campos magnéticos intensos | CONAHCyT | Institucional |
| Sistemas cuánticos fuertemente acoplados con muchos grados de libertad | CONAHCyT | Internacional |
| Métodos no perturbativos en mecánica cuántica | PAPIIT | Institucional |
| Sistemas coloumbianos de dos electrones en campos magnéticos intensos | CONAHCyT | Nacional |
| Fenómenos no lineales II | CONAHCyT | Nacional |
| Fenómenos no-lineales 11 (fenomec) | CONAHCyT | Nacional |
| Perturbaciones de los modelos de Calogero-Sutherland | DGAPA | Institucional |
| Fenómenos no lineales | CONAHCyT | Institucional |
| Sistemas de dos electrones en campos magnéticos intensos | CONAHCyT | Internacional |
| Exact calculations for small molecules in external magnetic fields | CONAHCyT | Internacional |
| Métodos no perturbativos en mecánica cuántica IV | DGAPA | Institucional |
Selección de publicaciones
- SUSY Quantum Mechanics, (non)-Analyticity and . . . Phase Transitions
Turbiner, AV
Journal of Physics Conference Series, 2025, 2986 (012006), 1 - 11 - Classical n-body system in volume variables II: Four-body case
Escobar-Ruiz, AM; Turbiner, AV
International Journal of Modern Physics A, 2023, 37 (34), 2250209 - On the connection between perturbation theory and new semiclassical expansion in quantum mechanics
Turbiner, AV; Shuryak, E
Nuclear Physics B , 2023, 989, 116117 - Two-body Coulomb problem and g2 algebra (once again about the Hydrogen atom)
Turbiner, AV; Escobar-Ruiz, AM
Physics Letters A: General, Atomic and Solid State Physics, 2023, 468, 128738 - Radial power-like potentials: from the Bohr-Sommerfeld $S$-state energies to the exact ones
DelValle, JC; Turbiner, AV
International Journal of Modern Physics A, 2023, 38 (14), 2350092 - HCl, DCl and TCl diatomic molecules in their ground state: predicting Born-Oppenheimer rovibrational spectra
Olivares-Pilon, H; Turbiner, AV
Journal of Physics B: Atomic, Molecular and Optical Physics, 2023, 56 (16), 165101 - From quartic anharmonic oscillator to double well potential
Turbiner, AV; Del Valle, JC
Acta Polytechnica, 2022, 62 (1), 208-210 - Towards the analytic theory of Potential Energy Curves for diatomic molecules. Studying He${}_2^+$ and LiH diatomics as illustration
Turbiner, AV; Olivares-Pilon, H
Molecular Physics, 2022 ( ), e2064784 - Ultra-compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus: II. Spin-singlet (excited) and spin-triplet (lowest) states of helium sequence
Turbiner, AV; Lopez Vieyra, JC; de Valle, JC; Nader, DJ
International Journal of Quantum Chemistry, 2022, 122 (9), e26879 - ClF diatomic molecule: rovibrational spectra
Turbiner, AV; Olivares-Pilon, H
Chemical Physics Letters, 2022, 799, 139642 - Erratum: Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium {Phys. Rev. A. 103, 032820 (2021)}
DelValle, JC; Turbiner, AV; Escobar-Ruiz, MA
Physical Review A, 2022 - Ultra-compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus: III. Spin-quartet state (1s2s3s) of the lithium sequence
Nader, DJ; Del Valle, JC; Lopez Vieyra, JC; Turbiner, AV
International Journal of Quantum Chemistry, 2022, 122 (17), e26952 - From two-dimensional (super-integrable) quantum dynamics to (super-integrable) three-body dynamics
Turbiner, AV; Miller, W; Escobar-Ruiz, MA
Journal of Physics A: Mathematical and General , 2021, 54 (1) - Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. I. Ground state
Turbiner, AV; Lopez Vieyra, JC; Del Valle, JC; Nader, DJ
International Journal of Quantum Chemistry, 2021, 121 (8), e26586 - The molecule H2 in a strong magnetic field revisited
Nader, DJ; Turbiner, AV; Lopez Vieyra, JC
Journal of Quantitative Spectroscopy & Radiative Transfer, 2021, 265, 107545 - Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium
Del Valle, JC; Turbiner, AV; Escobar-Ruiz, AM
Physical Review A, 2021, 103 (3), 032820 - Comment on: Uncommonly accurate energies for the general quartic oscillator, Int. J. Quantum Chem., e26554 (2020), by P. Okun and K. Burke
Turbiner, AV; Del Valle, JC
International Journal of Quantum Chemistry, 2021, 121 (9), qua.267661(pp.1-4) - Superintegrability of $(2n+1)$-body choreographies, $n=1,2,3,\ldots, \infty$ on the algebraic Lemniscate by Bernoulli (inverse problem of classical mechanics)
Turbiner, AV; Lopez Vieyra, JC
International Journal of Modern Physics A, 2021, 36 (17), 2150116 - Anharmonic oscillator: a solution
Turbiner, AV; Del Valle, JC
Journal of Physics A: Mathematical and General , 2021, 54, 295204 - Classical n-body system in geometrical and volume variables: I. Three-body case
Escobar-Ruiz, AM; Linares, R; Turbiner, AV; Miller, W
International Journal of Modern Physics A, 2021, 36 (18), 2150140-1 - 26 - Four-body (an)harmonic oscillator in $d$-dimensional space: $S$-states, (quasi)-exact-solvability, hidden algebra $sl(7)$
Escobar-Ruiz,MA; Turbiner, AV; Miller, W
Journal of Mathematical Physics, 2021 - Poly-analytic functions and representation theory
Turbiner, AV; Vasilevski, N
Complex Analysis and Operator Theory, 2021, 24 - Corrigendum: Classical n-body system in geometrical
and volume variables. I. Three-body case
Escobar-Ruiz, MA; Linares, R; Turbiner, AV; Miller, W
International Journal of Modern Physics A, 2021, 36 (24), 2192004 - Power-like potentials: from the Bohr-Sommerfeld energies to exact ones
Del Valle, JC; Turbiner, AV
International Journal of Modern Physics A, 2021, 2150221 - Three-body closed chain of interactive (an)harmonic oscillators and the algebra sl(4)
Turbiner, AV; Miller, W; Escobar-Ruiz, AM
Journal of Physics A-Mathematical and Theoretical, 2020, 53 (5), 055302 - Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases
Del Valle, JC; Turbiner, AV
International Journal of Modern Physics A, 2020, 35 (1), 2050005 - Particular superintegrability of 3-body (modified) Newtonian gravity
Turbiner, AV; Lopez Vieyra, JC
Modern Physics Letters A, 2020, 35 (22), 2050185 - Ultra-compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus: I. Ground state
Turbiner, AV; Lopez Vieyra, JC; Del Valle, JC; Nader, DJ
International Journal of Quantum Chemistry, 2020 - Four-body problem in d-dimensional space: Ground state, (quasi)-exact-solvability. IV
Escobar-Ruiz, MA; Miller, W; Turbiner, AV
Journal of Mathematical Physics, 2019, 60 ( 062101), 062101 - The hydrogen molecule H2 in inclined configuration in a weak magnetic field
Alijah, A; Lopez Vieyra, JC; Nader, DJ; Turbiner, AV; Medel-Cobaxin, H
Journal of Quantitative Spectroscopy & Radiative Transfer, 2019, 233, 78-86 - Existence of the finite hydrogenic molecular chain H 3 and ion H 2 - in a strong magnetic field
Nader, DJ; Lopez Vieyra, JC; Turbiner, AV
Physical Review A, 2019, 100 (1), 012508 - Few-electron atomic ions in non-relativistic QED: the Ground state
Turbiner, AV; Lopez Vieyra, JC; Olivares-Pilon, H
Annals of Physics, 2019, 409, 167908 - Radial anharmonic oscillator: Perturbation Theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case
Del Valle, JC; Turbiner, AV
International Journal of Modern Physics A, 2019, 34 (26), 1950143 - Three-body problem in 3D space: ground state, (quasi)-exact-solvability
Turbiner, AV; Escobar-Ruiz, AM; Miller, W
Journal of Physics A: Mathematical and General , 2017, 50 (21), 215201 - He2+ molecular ion and the He- atomic ion in strong magnetic fields
Lopez Vieyra, JC; Turbiner, AV
Physical Review A, 2017, 96 (2), 023410 - Fluctuations in quantum mechanics and field theories from a new version of semiclassical theory. II.
Escobar-Ruiz, AM; Shuryak, E; Turbiner, AV
Physical Review D, 2017, 96 (4), 045005 - Two charges on a plane in a magnetic field: Special trajectories
Escobar-Ruiz, MA; Turbiner, AV
Journal of Mathematical Physics, 2013, 54 (2), 022901 - Particular integrability and (quasi)-exact-solvability
Turbiner, AV
Journal of Physics A-Mathematical and Theoretical, 2013, 46 (2), 025203 - From Quantum A(N) (Sutherland) to E-8 Trigonometric Model: Space-of-Orbits View
Turbiner, AV
Symmetry Integrability and Geometry-Methods and Applications, 2013, 9, 003 - Two charges on a plane in a magnetic field: hidden algebra, (particular) integrability, polynomial eigenfunctions
Escobar-Ruiz, MA; Turbiner, AV
Journal of Physics A-Mathematical and Theoretical, 2013, 46 (29), 295204 - Stable He- can exist in a strong magnetic field
Turbiner, AV; Lopez Vieyra, JC
Physical Review Letters, 2013, 111 (16), 4 - gln+1 Algebra of matrix differential operators and matrix quasiexactly-slvable problems
Smirnov, YF; Turbiner, AV
Acta Polytechnica, 2013, 53 (5), 462-469 - Two charges on plane in a magnetic field I. "Quasi-equal" charges and neutral quantum system at rest cases
Escobar-Ruiz, MA; Turbiner, AV
Annals of Physics, 2013, 340 (1), 37-59 - Ground State of the H3+ Molecular Ion:Physics Behind
Turbiner, AV; Lopez Vieyra, JC
Journal of Physical Chemistry A, 2013, 117 (39), 9 - Corrigendum: The H-2(+) molecular ion: a solution
Turbiner, AV; Olivares-Pilon, H
Journal of Physics B: Atomic, Molecular and Optical Physics, 2012, 45 (11), 119501 - Erratum: The H + 2 molecular ion: A solution (Journal of Physics B: Atomic, Molecular and Optical Physics (2011) 44 (101002)
Turbiner, AV; Olivares-Pilon, H
Journal of Physics B: Atomic, Molecular and Optical Physics, 2012, 45 (11), 119501 - Critical charges of simple coulomb molecular systems: One-two electron case
Turbiner, AV; Cobaxin, HM
International Journal of Quantum Chemistry, 2012, 112 (11), 2411-2421 - An accurate few-parameter ground state wave function for the lithium atom
Guevara, NL; Harris, FE; Turbiner, AV
International Journal of Quantum Chemistry, 2009, 109 (13), 3036-3040 - Sutherland-type trigonometric models, trigonometric invariants and multivariable polynomials, ii. e-7 case
Lopez Vieyra, JC; Garcia, MAG; Turbiner, AV
Modern Physics Letters A, 2009, 24 (25), 1995-2004 - An infinite family of solvable and integrable quantum systems on a plane
Tremblay, F; Turbiner, AV; Winternitz, P
Journal of Physics A-Mathematical and Theoretical, 2009, 42 (24), 10 - H-3(2+) molecular ion in a strong magnetic field: Triangular configuration
Lopez Vieyra, JC; Turbiner, AV
Physical Review A, 2002, 66 (2), 6 - Quantum many-body problems and perturbation theory
Turbiner, AV
Physics of Atomic Nuclei, 2002, 65 (6), 1135-1143
Estudiantes y postdocs
Postdoctorado
Tesis de licenciatura y posgrado
| Nombre | Actividades |
|---|---|
| Escobar Ruiz, Adrián Mauricio | Dentro del contexto de cálculos de instantones realizar un estudio sobre las correcciones de lazos en las amplitudes de transición en problemas de mecánica cuántica. Lo anterior como un primer paso hacia el estudio de modelos en teorías cuántica de campos. Otra línea de investigación es el estudio variacional de los efectos de masa finita en el átomo de Hidrógeno en un campo magnético constante. |
| Julián Nader, Daniel | Investigación Posdoctoral |
| Del Valle Rosales, Juan Carlos | Redacción de libro sobre Oscilador Anarmónico para Word Scientific. |
| Título | Estudiante | Grado académico |
|---|---|---|
| Sistemas atómicos y moleculares super-cargados de un electrón en un campo magnético intenso | Olivares Pilon, Horacio | Doctorado |
| Dos cargas en el plano en un campo magnético | Escobar Ruiz, Adrián Mauricio | Doctorado |
| From quantum radial anharmonic oscillator to zeeman effect in hydrogen atom | Del Valle Rosales, Juan Carlos | Doctorado |
| Solubilidad del sistema integrable H3 | García García, Marcos Alejandro | Maestría |
| Sobre un conmutador en el álgebra de Lie gl(3) | Guadarrama Ayala, Miguel Angel | Maestría |
| Átomo de hidrógeno en un campo magnético uniforme: estado base | Del Valle Rosales, Juan Carlos | Maestría |
| Existencia del ion molecular H3H en campo magnético intenso | Solís Hernández, Ulises | Licenciatura |
| El ion molecular exótico H34+ en un campo magnético intenso | Olivares Pilon, Horacio | Licenciatura |