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DTSTAMP:20250708T013839Z
DESCRIPTION:Three-body problem in 3D space: ground state\, (quasi)-exact-so
 lvability.\n\nIn this talk we discuss aspects of the quantum 3-body system
  in 3D space with interaction depending only on mutual distances. The stud
 y is restricted to solutions which are functions of mutual distances only.
  The quantum system for which these states are eigenstates is found and it
 s Hamiltonian is constructed. It corresponds to a three-dimensional quantu
 m particle moving in a curved space with special metric. The kinetic energ
 y of the system has a hidden sl(4\,R) Lie (Poisson) algebra structure\, al
 ternatively\, the hidden algebra $h^{(3)}$ typical for the $H_3$ Calogero 
 model. We find an exactly solvable 3-body generalized harmonic oscillator-
 type potential as well as a quasi-exactly-solvable 3-body sextic polynomia
 l potential.\n
DTSTART:20170117T203000Z
DTEND:20170117T213000Z
LOCATION:Room 4336\, CA\, QC\, Montreal\, H3T 1J4\, Pavillon André-Aisensta
 dt\, 2920\, Chemin de la tour\, 5th floor
SUMMARY:Adrian Escobar\, UNAM et CRM
URL:/mathstat/channels/event/adrian-escobar-unam-et-cr
 m-265097
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