BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:(Quasi-) exactly solvable `Discrete' quantum mechanics - Odake\, S
  (Shinshu)
DTSTART:20090323T113000Z
DTEND:20090323T123000Z
UID:TALK17536@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This talk is based on the collaboration with Ryu Sasaki.\n`Dis
 crete' quantum mechanics is a quantum mechanical system whose Schr"{o}ding
 er equation is a difference equation instead of differential in ordinary q
 uantum mechanics.\nWe present a simple recipe to construct exactly and qua
 si-exactly solvable Hamiltonians in one-dimensional `discrete' quantum mec
 hanics.\nIt reproduces all the known ones whose eigenfunctions consist of 
 the Askey scheme of hypergeometric orthogonal polynomials of a continuous 
 or a discrete variable.\nAn essential role is played by the sinusoidal coo
 rdinate\, which generates the closure relation and the Askey-Wilson algebr
 a together with the Hamiltonian.\nWe also present the Crum's Theorem for `
 discrete' quantum mechanics.
LOCATION:Seminar Room 1 Newton Institute
END:VEVENT
END:VCALENDAR