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GENERALIZED COHERENT STATES AND NON-LINEAR SCHRODINGER EQUATION
(ICFAI University journal of physics, 2013-01-16)
From the hypergeometric differential equation to a non-linear Schrödinger one
(Elsevier Science, 2015-10)
We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear ...
Pilot wave approach to the NRT nonlinear Schrödinger equation
(Elsevier Science, 2014-06)
We investigate the main features of a pilot wave representation of the nonlinear Schrödinger equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT) on the basis of Tsallis q-thermo-statistical formalism. The ...
Perturbative treatment of the non-linear q-schrödinger and q-Klein-Gordon equations
(Molecular Diversity Preservation International, 2017-01)
Interesting non-linear generalization of both Schrödinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There ...
Quantum q-field theory: Q-Schrödinger and q-Klein-Gordon fields
(Europhysics Letters, 2017-06)
We show how to deal with the generalized q-Schrödinger and q-Klein-Gordon fields in a variety of scenarios. These q-fields are meaningful at very high energies (TeVs) for high ones (GeVs) for and at low energies (MeVs) for ...