Quantum potentials with q-Gaussian ground states

Christophe Vignat, Angel Plastino, Angel R. Plastino and Jesus Sanchez Dehesa

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 1068-1073

Abstract: We determine families of spherically symmetrical D-dimensional quantum potential functions V(r) having ground-state wavefunctions that exhibit, either in configuration space or in momentum space, the form of an isotropic q-Gaussian. These wavefunctions admit a maximum-entropy description in terms of Sq power-law entropies. We show that the potentials with a ground state of the q-Gaussian form in momentum space admit the Coulomb potential −1/r as a particular instance. Furthermore, all these potentials behave asymptotically as the Coulomb potential for large r for all values of the parameter q such that 0Keywords: Coulomb potential; q-Gaussian; Spherically symmetrical quantum potentials (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:1068-1073

DOI: 10.1016/j.physa.2011.09.031

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