Zobrazeno 1 - 10
of 137
pro vyhledávání: '"da Costa, Bruno G."'
Publikováno v:
J. Math. Phys. 64, 012102 (2023)
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 introducing the effect of the mass function in both kinetic and poten
Externí odkaz:
http://arxiv.org/abs/2302.02172
In this work, we study the effect of $\kappa$-deformed space on the thermodynamic quantities, this are find through the holographic renormalization that provide the free energy, which is fundamental to derive the another thermodynamic quantities. For
Externí odkaz:
http://arxiv.org/abs/2211.13783
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 the supersymmetric formalism. From the supersymmetric partner Hamiltonia
Externí odkaz:
http://arxiv.org/abs/2106.08467
Autor:
Borges, Ernesto P., da Costa, Bruno G.
Generalized numbers, arithmetic operators and derivative operators, grouped in four classes based on symmetry features, are introduced. Their building element is the pair of $q$-logarithm/$q$-exponential inverse functions. Some of the objects were pr
Externí odkaz:
http://arxiv.org/abs/2105.01549
Publikováno v:
Journal of Mathematical Physics (2020)
We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named $\kappa$-algebra), motivated by the Kappa-statistics. From this structure we obtain deformed
Externí odkaz:
http://arxiv.org/abs/2007.11184
Autor:
da Costa, Bruno G., Gomez, Ignacio S.
In this work we calculate the Cram\'{e}r-Rao, the Fisher-Shannon and the L\'{o}pez-Ruiz-Mancini-Calbert (LMC) complexity measures for eigenstates of a deformed Schr\"{o}dinger equation, being this intrinsically linked with position-dependent mass (PD
Externí odkaz:
http://arxiv.org/abs/1907.00206
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 majorization allows to define an intuitive arrow of time, within a co
Externí odkaz:
http://arxiv.org/abs/1811.11617
Publikováno v:
Physical Review E 102, 062105 (2020)
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 generalized deformed derivative for an arbitrary deformation space where the l
Externí odkaz:
http://arxiv.org/abs/1806.02764
Autor:
da Costa, Bruno G., Borges, Ernesto P.
We consider canonically conjugated generalized space and linear momentum operators $\hat{x}_q$ and $ \hat{p}_q$ in quantum mechanics, associated to a generalized translation operator which produces infinitesimal deformed displacements controlled by a
Externí odkaz:
http://arxiv.org/abs/1803.09281
Autor:
da Costa, Bruno G., Gomez, Ignacio S.
We discuss the Bohmian mechanics by means of the deformed Schr\"odinger equation for position dependent mass, in the context of a $q$-algebra inspired by nonextensive statistics. A deduction of the Bohmian quantum formalism is performed by means of a
Externí odkaz:
http://arxiv.org/abs/1803.01020