## Members

Name | Alexander Turbiner |

Affiliation | |

Phone (1) | +1-6504178538 |

Areas of research (1) | solvability and integrability in classical and quantum mechanics |

Area of research (2) | Lie-algebraic methods |

Area of research (3) | Schroedinger equation-the problem of spectra |

Area of research (4) | finitely many-body physics and mathematics, both quantum and classical |

Area of research (5) | Coulomb systems in a magnetic field |

Postdoctoral Fellows with dates (current and since last year) (1) | Daniel Julian Nader, 9/2019 – 12/2020 |

Students with dates (current and since last year) and affiliation (1) | Miguel Ayala (2016-2018) – Master program in math, UNAM, Mexico |

Students with dates (current and since last year) and affiliation (2) | Juan Carlos de Valle (2016-2020)-PhD program in physics, UNAM, Mexico |

Visiting Researchers with exact dates (current and since last year) and affiliation (1) | Mauricio Escobar Ruiz (CRM), since 2016, multiple visits |

Selected Recent Publications (past 2 years only) (1) | Four-body problem in $d$-dimensional space: ground state, (quasi)-exact-solvability.IV. (con M.A.~Escobar-Ruiz, W.~Miller, Jr), { Journ of Math Physics A60} (2019) 062101 (24pp) |

Selected Recent Publications (past 2 years only) (2) | {The hydrogen molecule H$_2$ in inclined configuration in a weak magnetic field}, (con A.Alijah, J.C.~Lopez Vieyra, D.J.~Nader, H.~Medel Cobaxin), (invited contribution on the occasion of 65th birthday of V.~Tyuterev)}, { Journal of Quantitative Spectroscopy and Radiative Transfer 233} (2019) 78-86 |

Selected Recent Publications (past 2 years only) (3) | {Three-body problem in $d$-dimensional space: ground state, (quasi)-exact-solvability.II} (with M.A.Escobar-Ruiz, W.Miller, Jr) Journ of Math Physics A59 (2018) 022108 (29pp) |

Selected Recent Publications (past 2 years only) (4) | {The quantum n-body problem in dimension $d ge n-1$: ground state} (with M.A.Escobar-Ruiz, W.Miller, Jr) Journal of Physics A51 (2018) 205201 (25pp) |

Selected Recent Publications (past 2 years only) (5) | {Trans-series for the ground state density and Generalized Bloch equation} (with E. Shuryak) Phys Rev D98 (2018) 105007 (10pp) |

Selected Recent Publications (past 2 years only) (6) | {Few-electron atomic ions in non-relativistic QED: Ground state energy}, (con J.C.~Lopez Vieyra y H.~Olivares Pilon), { Annals of Physics 409} (2019) 167908 (19pp) |

Selected Recent Publications (past 2 years only) (7) | {Finite Hydrogenic molecular chain H$_3$ and ion H$_2^-$ exist in a strong magnetic field},(con J.C.~Lopez Vieyra y D.J.~Nader), {Physical Review A100} (2019) 012508 (4 pp) |

Recent Invited Talks and Lectures (past year only) (2) | `Operator Algebras, Toeplitz Operators and Related Topics', Boca del Rio, Veracruz, Mexico |

Recent Invited Talks and Lectures (past year only) (3) | `Nonlinear Phenomena in Physics, Biology and Medicine' to memoria of Antonmaria Minzoni, IIMAS, Mexico DF, Mexico |

Recent Invited Talks and Lectures (past year only) (4) | The 16th international conference `Analytic and algebraic methods in physics', Praga, Republica Checa – two plenary talks |

Recent Visiting Positions, Sabbatical Leaves (past 2 years only) | Stony Brook University, Visiting Scholar, since 2015 – now |

Recent conferences organized or co-organized (past 2 years only) (1) | `Nonlinear Phenomena in Physics, Biology and Medicine' to memoria of Antonmaria Minzoni, IIMAS, Mexico DF |