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20132023
most citedA position-dependent mass harmonic oscillator and deformed space

60 citations

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5 papers · 1 filter

quant-ph2023★ 15 cited

Exact solution and coherent states of an asymmetric oscillator with position-dependent mass

Bruno G. da Costa, Ignacio S. Gomez, Biswanath Rath

We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et al., J. Math. Phys. {\bf 62}, 092101 (2021)] in the classical and quantum formalisms, by…

quant-ph2021★ 15 cited

Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass

Bruno G. da Costa, Genilson A. C. da Silva, Ignacio S. Gomez

We study the classical and quantum oscillator in the context of a non-additive (deformed) displacement operator, associated with a position-dependent effective mass, by means of th…

quant-ph2020★ 34 cited

-Deformed quantum and classical mechanics for a system with position-dependent effective mass

Bruno G. da Costa, Ignacio S. Gomez, Mariela Portesi

We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named -algebra), motivate…

quant-ph2019★ 22 cited

Information-theoretic measures for a position-dependent mass system in an infinite potential well

Bruno G. da Costa, Ignacio S. Gomez

In this work we calculate the Cramér-Rao, the Fisher-Shannon and the López-Ruiz-Mancini-Calbert (LMC) complexity measures for eigenstates of a deformed Schrödinger equation, being…

quant-ph2018★ 60 cited

A position-dependent mass harmonic oscillator and deformed space

Bruno G. da Costa, Ernesto P. Borges

We consider canonically conjugated generalized space and linear momentum operators and in quantum mechanics, associated to a generalized translation operat…