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

60 citations

15 papers

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…

hep-th2022★ 9 cited

Scalar fields and Lifshitz black holes from Derrick's theorem evasion

D. C. Moreira, F. A Brito, J. C. Mota-Silva

We study classical scalar fields in asymptotically Lifshitz spacetimes. By evading Derrick's theorem requiring the scalar potential to explicitly depend on the background coordinat…

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…

hep-th2021★ 25 cited

AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity

Fabiano F. Santos, Eduardo Folco Capossoli, Henrique Boschi-Filho

In this work, we study gravity duals of conformal field theories with boundaries known as AdS/BCFT correspondence, put forward by Takayanagi [1], within a scalar-tensor theory, as…

cond-mat.soft2020★ 2 cited

Deformation of loops in 2D packing of flexible rods

T. A. Sobral, V. H. de Holanda, F. C. B. Leal +1

The injection of a long flexible rod into a two-dimensional domain yields a complex pattern commonly studied through elasticity theory, packing analysis, and fractal geometries. "L…

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…

hep-ph2020★ 8 cited

Revisiting the tensor meson spectrum

L. M. Abreu, F. M. da Costa Júnior, A. G. Favero

This work is devoted to the discussion and characterization of the tensor meson spectrum, by making use of the Coulomb gauge Hamiltonian approach to QCD, with the intera…

hep-th2020★ 2 cited

Lifshitz-scaling in CPT-even Lorentz-violating electrodynamics and GRB time delay

K. E. L. de Farias, T. A. M. Sampaio, M. A. Anacleto +2

In this work, we consider the Hořava-Lifshitz scaling to rewrite higher-order derivatives in Lorentz-violating CPT-even electrodynamics. The possibility of the Lorentz invariance v…

hep-th2019★ 2 cited

Consistency analysis of a CPT-even and CPT-odd lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field

T. A. M. Sampaio, E. Passos

Based on the motivation that some quantum gravity theories predicts the Lorentz Invariance Violation (LIV) around Planck-scale energy levels, this paper proposes a new formalism th…

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…

math-ph2018★ 5 cited

Majorization and dynamics of continuous distributions

Ignacio S. Gomez, Bruno G. da Costa, M. A. F. dos Santos

In this work we show how the concept of majorization in continuous distributions can be employed to characterize chaotic, diffusive and quantum dynamics. The key point lies in that…

cond-mat.stat-mech2018★ 22 cited

Deformed Fokker-Planck equation: inhomogeneous medium with a position-dependent mass

Bruno G. da Costa, Ignacio S. Gomez, Ernesto P. Borges

We present the Fokker-Planck equation (FPE) for an inhomogeneous medium with a position-dependent mass particle by making use of the Langevin equation, in the context of a generali…

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…

cond-mat.mes-hall2017★ 8 cited

Inertial and topological effects on a 2D electron gas

Julio Brandão, Cleverson Filgueiras, Moises Rojas +1

In this work, we study how the combination of rotation and a topological defect can influence the energy spectrum of a two dimensional electron gas in a strong perpendicular magnet…

math-ph2013★ 47 cited

Generalized space and linear momentum operators in quantum mechanics

Bruno G. da Costa, Ernesto P. Borges

We propose a modification of a recently introduced generalized translation operator, by including a -exponential factor, which implies in the definition of a Hermitian deformed…