We show that this problem gives rise to the same differential equation of a well known potential of ordinary quantum mechanics. However there is a subtle difference in the choice of the parameters of the hypergeometric function solving the differential equation which changes the physical discussion of the spectrum.
Remarks on the harmonic oscillator with a minimal position uncertainty / P. Valtancoli. - In: MODERN PHYSICS LETTERS A. - ISSN 0217-7323. - STAMPA. - 27:(2012), pp. 1250107-1250111. [10.1142/S0217732312501076]
Remarks on the harmonic oscillator with a minimal position uncertainty.
VALTANCOLI, PAOLO
2012
Abstract
We show that this problem gives rise to the same differential equation of a well known potential of ordinary quantum mechanics. However there is a subtle difference in the choice of the parameters of the hypergeometric function solving the differential equation which changes the physical discussion of the spectrum.File in questo prodotto:
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