activity
19962026
most citedNonlinear Relativistic and Quantum Equations with a Common Type of Solution

163 citations · 513 across the 16 of their papers we have counts for

collaborators

16 papers

nlin.PS2026

A Nonlinear -Deformed Schrödinger Equation

M. A. Rego-Monteiro, E. M. F. Curado

We construct a new nonlinear deformed Schrödinger structure using a nonlinear derivative operator which depends on a parameter . This operator recovers Newton derivative when $q…

quant-ph2024

Multi-parametric Nonlinear Generalization of Klein-Gordon: Real and Complex Fields

M. A. Rego-Monteiro, E. M. F. Curado

We construct a nonlinear multiparametric Klein-Gordon for complex and real fields with mass dimension depending on a real parameter as where is the mass dimens…

nlin.PS2019★ 4 cited

Lorentzian Solitary Wave in a Generalised Nonlinear Schrödinger Equation

M. A. Rego-Monteiro

We obtain a travelling-wave solution of a generalised nonlinear Schrödinger equation with an additional term of the form , where and are real constan…

cond-mat.other2011★ 163 cited

Nonlinear Relativistic and Quantum Equations with a Common Type of Solution

Fernando D. Nobre, Marco Aurelio Rego-Monteiro, Constantino Tsallis

Generalizations of the three main equations of quantum physics, namely, the Schrödinger, Klein-Gordon, and Dirac equations, are proposed. Nonlinear terms, characterized by exponent…

quant-ph2008

Non-commutative reading of the complex plane through Delone sequences

S. Twareque Ali, Lubka Balkova, E. M. F. Curado +4

The Berezin-Klauder-Toeplitz ("anti-Wick") quantization or "non-commutative reading" of the complex plane, viewed as the phase space of a particle moving on the line, is derived fr…

math-ph2007

A class of generalised Jordan-Schwinger maps

N M Oliveira-Neto, E M F Curado, M A Rego-Monteiro

In this article we introduce a class of generalisations of the Jordan-Schwinger (JS) map which realises the recent proposed generalised sl(2) (G-sl(2)) algebra via two independent…