A remark on systems of differential equations associated with representations of si2(r) and their perturbations

Alberto Parmeggiani, Masato Wakayama

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Abstract

We give here a number of examples of non-commutative harmonic oscillators “in disguise” that can be exactly solved by using the tensor product of the oscillator representation and the finite dimensional representation of sI2(R), and its perturbations.

Original languageEnglish
Pages (from-to)254-277
Number of pages24
JournalKodai Mathematical Journal
Volume25
Issue number3
DOIs
Publication statusPublished - 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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