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SUMMARY:Action-angle variables revisited: dihedral systems\, TTW-like mod
els\, black holes
DTSTART;VALUE=DATE-TIME:20111018T123000Z
DTEND;VALUE=DATE-TIME:20111018T150000Z
DTSTAMP;VALUE=DATE-TIME:20200921T060820Z
UID:indico-event-4220@agenda.infn.it
DESCRIPTION:We demonstrate the effectivity of the use of action-angle vari
ables in the study of novel integrable models.\nAt first\, we construct th
e integrable deformations of the oscillator and Coulomb systems on N-dimen
sional spaces of constant curvature by replacing their angular degrees of
freedom with a compact integrable (N-1)-dimensional system.As an example\,
we construct the spherical and pseudospherical generalization of the two-
dimensional superintegrable models introduced by Tremblay\, Turbiner and W
internitz (TTW) and by Post and Winternitz (PW). We demonstrate the superi
ntegrability of these systems and give their hidden constant of motion.\nT
hen we present a canonical transformation which relates the model of a ma
ssive relativistic particle moving near the horizon of an extremal\nReissn
er-Nordstrom and Kerr black holes and the conventional conformal mechanic
s.\n\nhttps://agenda.infn.it/event/4220/
LOCATION:LNF Aula A1
URL:https://agenda.infn.it/event/4220/
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