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From the generalized Morse potential to a unified treatment of the D-dimensional singular harmonic oscillator and singular Coulomb potentials
(Springer, 2016-10-01)
Bound-state solutions of the singular harmonic oscillator and singular Coulomb potentials in arbitrary dimensions are generated in a simple way from the solutions of the one-dimensional generalized Morse potential. The ...
O oscilador harmônico singular revisitado
(Sociedade Brasileira de Física, 2013-09-01)
The one-dimensional Schrödinger equation with the singular harmonic oscillator is investigated. The Hermiticity of the operators related to observable physical quantities is used as a criterion to show that the attractive ...
On the Heat Equation with Nonlinearity and Singular Anisotropic Potential on the Boundary
(2017-03-01)
This paper concerns with the heat equation in the half-space ℝ+n with nonlinearity and singular potential on the boundary ∂ℝ+n. We show a well-posedness result that allows us to consider critical potentials with infinite ...
On Elliptic equations with singular potentials and nonlinear boundary conditions
(2018-01-01)
We consider the Laplace equation in the half-space satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ...
O oscilador harmônico singular revisitado
(2013-10-18)
The one-dimensional Schrödinger equation with the singular harmonic oscillator is investigated. The Hermiticity of the operators related to observable physical quantities is used as a criterion to show that the attractive ...
Uma breve discussão sobre os possíveis estados ligados para uma classe de potenciais singulares
(2014-03-07)
The one-dimensional Schrodinger equation for a class of potentials V (|x|) which vanish at infinity and present dominant singularity at the origin in the form α/|x|β (0 < β ≤ 2) is investigated. The hermiticity of the ...
Renormalization of singular potentials and power counting
(Academic Press Inc. Elsevier B.V., 2008-06-01)
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r(2) potential perturbed by a 1/r(4) correction. The power-counting rule, an important ingredient ...
Renormalization of singular potentials and power counting
(Academic Press Inc. Elsevier B.V., 2008-06-01)
We use a toy model to illustrate how to build effective theories for singular potentials. We consider a central attractive 1/r(2) potential perturbed by a 1/r(4) correction. The power-counting rule, an important ingredient ...
O oscilador harmônico singular revisitado
(Sociedade Brasileira de Física, 2014)