## 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 |

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-present)-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) | {Three-body problem in 3D space: ground state, (quasi)-exact-solvability (with M.A.Escobar-Ruiz, W.Miller, Jr) Journal of Physics A50 (2017) 215201 (19pp) |

Selected Recent Publications (past 2 years only) (2) | {Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory.II (with M A Escobar-Ruiz, E Shuryak) Phys Rev D96 (2017) 045005 (20pp) |

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) | {Quantum and thermal fluctuations in quantum mechanics and field theories from a new version of semiclassical theory}, (with M A Escobar-Ruiz, E Shuryak) Phys Rev D93 (2016) 105039 (14pp) |

Selected Recent Publications (past 2 years only) (7) | {The Heun operator as a Hamiltonian}, Journal of Physics A49 (2016) 26LT01 (Letters, 8pp) |

Selected Recent Publications (past 2 years only) (8) | {One-Dimensional Quasi-Exactly Solvable Schr"odinger Equations}, Physics Reports 642 (2016) 1-71 (invited contribution) |

Recent Invited Talks and Lectures (past year only) (1) | `Integrability and beyond', CiC, Cuernavaca Mor. Mexico |

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) | `Integrability and Quasi-Integrability', CiC, Cuernavaca Mor. Mexico |

Recent Invited Talks and Lectures (past year only) (5) | `Gauge topology: from lattice to colliders', Europian Center for Theoretical Physics, Trento, Italy |

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 |