Recognition: unknown
From the hypergeometric differential equation to a non linear Schr\"odinger one
classification
🪐 quant-ph
cond-mat.stat-mechmath-phmath.MP
keywords
equationdifferentialhypergeometricfunctionnlseodingerschraccordingly
read the original abstract
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation is a non-linear Schr\"odinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre-Rego Monteiro-Tsallis one.
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