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Bound states by a pseudoscalar Coulomb potential in one-plus-one dimensions
(Elsevier B.V., 2003-11-03)
The Dirac equation is solved for a pseudoscalar Coulomb potential in a two-dimensional world. An infinite sequence of bounded solutions are obtained. These results are in sharp contrast with those ones obtained in 3 + 1 ...
Series of Floor and Ceiling Functions-Part II: Infinite Series
(Mathematics, 2022)
Nonlinear Equations with Infinitely many Derivatives
(COMPLEX ANALYSIS AND OPERATOR THEORY Volume: 5 Issue: 1 Pages: 313-323 DOI: 10.1007/s11785-009-0043-z Published: MAR 2011, 2012)
Simplified Theory Of The Surface Properties Of Semi-infinite Ferromagnetic Metals
(Kluwer Academic Publishers, 1986)
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 ...
Influence of applied external fields on the nonlinear optical properties of a semi-infinite asymmetric AlxGa1−xAs/GaAs quantum well
(Elsevier, 2021-03-01)
The asymmetric potential profiles are of great interest from the nonlinear optical properties point of view for semiconductor devices. The reason for this statement is because the existing theories on nonlinear optical ...
A molecular dynamics study of the solvation of carbon dioxide and other compounds in the ionic liquids [emim][B(CN)4] and [emim][NTf2]
(Elsevier Science, 2019-07)
In this paper, we calculate solvation free energies of several compounds in ionic liquids. These free energies are used to compute properties such as Henry's law constants and activity coefficients, generally required in ...
Infinitely many solutions for non-local problems with broken symmetry
(De Gruyter, 2018-08)
The aim of this paper is to investigate the existence of solutions of the non-local elliptic problem (Formula Presented) where s Ó (0, 1), n > 2s, is an open bounded domain of Rn with Lipschitz boundary ∂Ω, (-Δ)s is the ...
Phase Transition for Infinite Systems of Spiking Neurons
(Springer, 2018-09)
We prove the existence of a phase transition for a stochastic model of interacting neurons. The spiking activity of each neuron is represented by a point process having rate 1 whenever its membrane potential is larger than ...
The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential
(World Scientific Publ Co Pte Ltd, 2006-04-30)
The problem of neutral fermions subject to an inversely linear potential is revisited. It is shown that an infinite set of bound-state solutions can be found on the condition that the fermion is embedded in an additional ...