Results 41 to 50 of about 1,020 (214)
Combined Wronskian solutions to the 2D Toda molecule equation [PDF]
By combining two pieces of bi-directional Wronskian solutions, molecule solutions in Wronskian form are presented for the finite, semi-infinite and infinite bilinear 2D Toda molecule equations. In the cases of finite and semi-infinite lattices, separated-
Wen-Xiu Ma
core
Some Spectral Properties of Schrödinger Operators on Semi Axis
The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
doaj +1 more source
A Wronskian approach to the real τ-conjecture
According to the real τ-conjecture, the number of real roots of a sum of products of sparse polynomials should be polynomially bounded in the size of such an expression. It is known that this conjecture implies a superpolynomial lower bound on the arithmetic circuit complexity of the permanent. In this paper, we use the Wronksian determinant to give an
Koiran, Pascal +2 more
openaire +3 more sources
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
Wronskian solutions of (2+1) dimensional non-local ito equation
In this work, the Wronskian determinant technique is performed to (2+1)-dimensional non-local Ito equation in the bilinear form. First, we obtain some sufficient conditions in order to show Wronskian determinant solves the (2+1)-dimensional non-local Ito
Yıldırım, Yakup, Yaşar, Emrullah
core +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
wiley +1 more source
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases [PDF]
In this article, we provide a bidiagonal decomposition of the Wronskian matrices of Bernstein bases of polynomials and other related bases such as the Bernstein basis of negative degree or the negative binomial basis.
Juan M. Peña +5 more
core +1 more source
The Steklov spectrum of spherical cylinders
Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source
Accurate computations with Gram and Wronskian matrices of geometric and Poisson bases [PDF]
In this paper we deduce a bidiagonal decomposition of Gram and Wronskian matrices of geometric and Poisson bases. It is also proved that the Gram matrices of both bases are strictly totally positive, that is, all their minors are positive.
Rubio, B., Peña, J. M., Mainar, E.
core +1 more source

