**Integrability and Superintegrability of Hamiltonian Systems**

- 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) - with I. Yurdusen and Irlanda Meza y Palma,
*Doubly Exotic Nth-order Order Superintegrable Classical Systems Separating in Cartesian Coordinates,*SIGMA 18 (2022), 039, 20 pages - 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) - 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 - 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 - with P. P. Goldstein, A. M. Grundland,
*The su(2) spin s representations via CP^{2s} sigma models*, J. Phys. Commun. 4 (2020) 105006 - with J. C. Ndogmo,
*Equivalence classes and Linearization of the Riccati and Abel chain*, Journal of Mathematical Analysis and Applications, 475 (2019) 1818-1830 - with P. Winternitz, _I. Yurdusen
*General N*J. Phys. A: Math. Theor. 51 (2018) 40LT01^{th}-order superintegrable systems separating in polar coordinates, - with J. C. López Vieyra, P. Winternitz, _I. Yurdusen
*Fourth order superintegrable systems separating in Polar Coordinates. II. Standard Potentials,*J. Phys. A: Math. Theor. 51 (2018) 455202 - with J. C. López Vieyra, P. Winternitz,
*Fourth order superintegrable systems separating in Polar**Coordinates. I. Exotic Potentials,*J. Phys. A: Math. Theor. 50 (2017) 495206 - with W. Miller Jr., E. Subag,
*Contractions of degenerate quadratic algebras, abstract and geometric,*SIGMA 13 (2017) 099 - with E. G. Kalnins, W. Miller Jr.,
*Separation equations for 2D superintegrable systems on constant curvature spaces,*J. Phys. A: Math. Theor. 50 (2017) 385202 - with E. G. Kalnins, W. Miller Jr., E. Subag,
*Bôcher and abstract contractions of 2nd order quadratic**algebras,*SIGMA 13 (2017) 013 - with W. Miller Jr.,
*Toward a classification of semidegenerate 3D superintegrable systems*, J. Phys. A: Math. Theor. 50 (2017) 095203 - with W. Miller Jr.,
*Conformal Laplace superintegrable systems in 2D: polynomial invariant subspaces,*J. Phys. A: Math. Theor. 49, (2016), 305202

**Many body problem**

- with Alexander V. Turbiner,
*Classical n-body system in volume variables II: Four-body case,*International Journal of Modern Physics A 37 (2022) 2250209 - 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 - 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 - 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 - with W. Miller Jr., A. V. Turbiner, The quantum n-body problem in dimension d
__>__n – 1: ground state, J. Phys. A: Math. Theor. 51 (2018) 205201 - with A. V. Turbiner, W. Miller Jr.,
*Three-body problem in d-dimensional space: ground state, (quasi)-exact-solvability,*Journal of Math Physics 59 (2018) 022108 - with C. A. Escobar Three charges on a plane in a magnetic field: Special trajectories, Journal of Math Physics 59 (2018) 102901
- with A. V. Turbiner, W. Miller Jr.,
*Three-body problem in 3D space: ground state, (quasi)-exact-solvability,*J. Phys. A: Math. Theor. 50 (2017) 215201

**Path integral (instanton calculus)**

- with E. Shuryak, A. V. Turbiner,
*Fluctuations in quantum mechanics and field theories from a new**version of semiclassical theory.*II, Phys. Rev. D 96 (2017) 045005 - with E. Shuryak, A. V. Turbiner,
*Quantum and thermal uctuations in quantum mechanics and field theories from a new version of semiclassical theory,*Phys. Rev. D 93 (2016) 105039 - with E. Shuryak, A. V. Turbiner,
*Three-loop correction to the instanton density. II. The sine-Gordon potential,*Phys. Rev. D 92 (2015) 025047 - with E. Shuryak, A. V. Turbiner,
*Three-loop correction to the instanton density. I. The quartic double well potential,*Phys. Rev. D 92 (2015) 025046

**Perturbative and variational methods in quantum mechanics**

- with H Olivares-Pilón and F Montoya Molina,
*Three-body harmonic molecule,*J. Phys. B: At. Mol. Opt. Phys. 56 075002 (2023) - with Fidel Montoya,
*Generalized three-body oscillator system: ground state,*Acta Polytechnica 62(1):50–55, (2022) - 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) - 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 *Two charges on plane in a magnetic field: III. He+ ion,*Annals of Physics 351 (2014) 714-726- with A. V. Turbiner,
*Two charges on a plane in a magnetic field II: Moving neutral quantum system**across magnetic field,*Annals of Physics 359 (2014) 405-418 - with A. V. Turbiner,
*Two charges on a plane in a magnetic field I: Quasi-equal charges and neutral quantum system at rest cases,*Annals of Physics 340 (2014) 37-59 - with A. V. Turbiner,
*Two charges on a plane in a magnetic field: hidden algebra, (particular) integrability, polynomial eigenfunctions*, J. Phys. A: Math. Theor. 46 (2013) 295204 - with A. V. Turbiner,
*Two charges on a plane in a magnetic field: special trajectories,*Journal of Math Physics 54 (2013) 022901 *Electrostatic models of charged hydrogenic chains in a strong magnetic field,*Rev. Mex. Fis. 57 (3) (2011) 193-203

**Casimir Effect**

- 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 - 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 - 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)

**Corrigendum**

- with J. C. López Vieyra, P. Winternitz, Corrigendum:
*Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials (J. Phys. A: Math. Theor. 50 495206),*J. Phys. A: Math. Theor., 52 (2019) 019501 - with E. Shuryak, A. V. Turbiner,
*Erratum Three-loop correction to the instanton density. I. The quartic double well potential [Phys. Rev. D 92, 025046 (2015)]*, Phys. Rev. D 92 (2015) 089902