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The European Physical Journal C

, Volume 58, Issue 1, pp 159–170 | Cite as

Inequivalent quantizations of the rational Calogero model with a Coulomb type interaction

  • B. Basu-Mallick
  • Kumar S. Gupta
  • S. Meljanac
  • A. SamsarovEmail author
Regular Article - Theoretical Physics

Abstract

We consider the inequivalent quantizations of a N-body rational Calogero model with a Coulomb type interaction. It is shown that for a certain range of the coupling constants, this system admits a one-parameter family of self-adjoint extensions. We analyze both the bound and scattering state sectors and find novel solutions of this model. We also find the ladder operators for this system, with which the previously found solutions can be constructed.

PACS

02.30.Ik 03.65.Fd 03.65.-w 

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  • B. Basu-Mallick
    • 1
  • Kumar S. Gupta
    • 1
  • S. Meljanac
    • 2
  • A. Samsarov
    • 2
    Email author
  1. 1.Theory DivisionSaha Institute of Nuclear PhysicsCalcuttaIndia
  2. 2.Rudjer Bošković InstituteZagrebCroatia

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