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On eigenvalue accumulation for non-self-adjoint magnetic operators
(ELSEVIER SCIENCE BV, 2017)
In this work, we use regularized determinants to study the discrete spectrum generated by relatively compact non-self-adjoint perturbations of the magnetic Schrodinger operator (-i del - A)(2) -b in R-3, with constant ...
Eingenvalue accumulation for the Schrödinger equation: a singular Sturm-Liouville problem in the spectral parameter
(Universidade Estadual Paulista (Unesp), 2019-11-14)
In this work we will present the Sturm-Liouville classic theory for the regular problem, showing that several properties of the eigenvalues and eigenfunctions of this problem, for example, that the eigenvalues form an ...
A model of neck formation on a rod under tension
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2002)
Stability of equilibrium of a circular cylinder under homogeneous axial stretching is investigated in the frame of 3-D nonlinear elasticity. The axisymmetric buckling modes describing developing of a "neck" on the stretched ...
Critical behavior at edge singularities in one-dimensional spin models
(Amer Physical Soc, 2008-09-01)
In ferromagnetic spin models above the critical temperature (T>Tcr) the partition function zeros accumulate at complex values of the magnetic field (H(E)) with a universal behavior for the density of zeros rho(H) similar ...
Blumenthal's theorem for Laurent orthogonal polynomials
(Elsevier B.V., 2002-08-01)
We investigate polynomials satisfying a three-term recurrence relation of the form B-n(x) = (x - beta(n))beta(n-1)(x) - alpha(n)xB(n-2)(x), with positive recurrence coefficients alpha(n+1),beta(n) (n = 1, 2,...). We show ...
Critical behavior at edge singularities in one-dimensional spin models
(Amer Physical Soc, 2008-09-01)
In ferromagnetic spin models above the critical temperature (T>Tcr) the partition function zeros accumulate at complex values of the magnetic field (H(E)) with a universal behavior for the density of zeros rho(H) similar ...
Blumenthal's theorem for Laurent orthogonal polynomials
(Elsevier B.V., 2002-08-01)
We investigate polynomials satisfying a three-term recurrence relation of the form B-n(x) = (x - beta(n))beta(n-1)(x) - alpha(n)xB(n-2)(x), with positive recurrence coefficients alpha(n+1),beta(n) (n = 1, 2,...). We show ...
Critical behavior at edge singularities in one-dimensional spin models
(2008-09-30)
In ferromagnetic spin models above the critical temperature (T> Tcr) the partition function zeros accumulate at complex values of the magnetic field (HE) with a universal behavior for the density of zeros ρ (H) ∼ H- HE σ. ...
Absolutely continuous spectrum for Schrodinger operators with random decaying matrix potentials on the strip
(2023)
We consider a family of random Schrödinger operators on the discrete strip with decaying random matrix potential. We prove that the spectrum is almost surely pure absolutely continuous, apart from random, possibly embedded, ...
Liouvillian solutions for second order linear diferential equations with polynomial coefcients
(Springer, 2020-09-10)
In this paper we present an algebraic study concerning the general second order
linear diferential equation with polynomial coefcients. By means of Kovacic’s
algorithm and asymptotic iteration method we fnd a degree ...