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19942020
most citedExact solvability of potentials with spatially dependent effective masses

246 citations · 558 across the 35 of their papers we have counts for

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quant-ph2015★ 1 cited

On the Hamilton-Jacobi method in classical and quantum nonconservative systems

A. de Souza Dutra, R. A. C. Correa, P. H. R. S. Moraes

In this work we show how to complete some Hamilton-Jacobi solutions of linear, nonconservative classical oscillatory systems which appeared in the literature and we extend these co…

quant-ph2015★ 5 cited

A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario

R. A. C. Correa, A. de Souza Dutra, J. A. de Oliveira +1

In this work we analyze a system consisting in two-dimensional position-dependent massive particles in the presence of a Morse-like potential in two spatial dimensions. We obtain t…

quant-ph2012★ 11 cited

Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities

L. E. Arroyo-Meza, A. de Souza Dutra, M. B. Hott

In this work we apply point canonical transformations to solve some classes of nonautonomous nonlinear Schrödinger equation namely, those which possess specific cubic and quintic -…

quant-ph2010

Emerging 2D isospectral configurations for position-dependent mass quantum systems

A. de Souza Dutra, J. A. de Oliveira, R. A. C. Correa +1

In this work we construct a general class of exactly solvable non-relativistic bi-dimensional quantum systems with position-dependent masses (PDM). These systems are isospectral to…

quant-ph2009★ 19 cited

Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

V. G. C. S. dos Santos, A. de Souza Dutra, M. B. Hott

The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing…

quant-ph2003★ 246 cited

Exact solvability of potentials with spatially dependent effective masses

A. de Souza Dutra, C. A. S. Almeida

We discuss the relationship between exact solvability of the Schroedinger equation, due to a spatially dependent mass, and the ordering ambiguity. Some examples show that, even in…