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SUMMARY:Emergence of integrable models in external potentials: Duality\, S
olitons and Field theory. (The Quantum Spacetime Seminar Series)
DTSTART;VALUE=DATE-TIME:20180409T060000Z
DTEND;VALUE=DATE-TIME:20180409T070000Z
DTSTAMP;VALUE=DATE-TIME:20190122T162450Z
UID:indico-event-6358@cern.ch
DESCRIPTION:I will discuss the Calogero family of models which remarkably
remain integrable even in external quartic\, trigonometric and hyperbolic
potentials [1]. I will derive its dual form and corresponding soliton solu
tions for finite dimensional systems. The property of duality is exploited
to restrict the space of initial conditions which yield to soliton soluti
ons. I will then give a collective field formulation of these models and d
erive the corresponding soliton solutions in terms of meromorphic fields.
I will also present some very preliminary results on the elliptic case. \n
\n[1] M. Kulkarni\, A. P. Polychronakos\, J. Phys. A: Math. Theor. 50 4552
02 (2017)\n\nhttps://indico.tifr.res.in/indico/conferenceDisplay.py?confId
=6358
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6358
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