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The para--Krawtchouk oscillator and its continuum limit

Beaulac, Stéphane Z. et al.
arXiv (All) · Papers
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mathematical-physics
The para--Krawtchouk polynomials define, through their recurrence relation, a finite oscillator model that carries out fractional revival. We determine the continuum limit of this Hamiltonian, both from its recurrence relation and directly on the polynomials. The limit is the singular (isotonic) osc
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