Results 91 to 100 of about 260,310 (201)

Resonances in One Dimension and Fredholm Determinants

open access: yesJournal of Functional Analysis, 2000
The one-dimensional Schrödinger operator \(H=H_0+V\) is considered, where \(H_0\) is one of \(-d^2/dx^2\) on \(L^2(\mathbb{R})\) (Case 1), \(-d^2/dx^2\) on \(L^2(0,\infty)\) with \(u(0)=0\) (Case 2) or \(u'(0)+hu(0)\) (Case 3), \(-d^2/dx^2+l(l+1)/x^2\), \(l=1,2,\dots\) (Case 4), and \(V\) is a potential with compact support. The operator \((H_0+\kappa ^
openaire   +2 more sources

Fredholm Determinant for Piecewise Linear Transformations on a Plane [PDF]

open access: yesTokyo Journal of Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

The Fredholm Determinant for a Dirac Hamiltonian with a Topological Mass Term

open access: yes, 2020
We consider the Fredholm determinant associated with two Hamiltonians H and H0. If these have discrete spectra with eigenvalues En and En0 respectively, then the Fredholm determinant, as a function of a complex variable z, is Det .
D Waxman
core  

Full-counting statistics of energy transport of molecular junctions in the polaronic regime

open access: yesNew Journal of Physics, 2017
We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson–Holstein model in the polaronic regime. Using the two-time quantum measurement scheme, the generating function (GF) for the
Gaomin Tang, Zhizhou Yu, Jian Wang
doaj   +1 more source

Asymptotics of a class of Fredholm determinants

open access: yes, 1998
8 pages, LaTeX ...
Tracy, Craig A., Widom, Harold
openaire   +2 more sources

Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS3

open access: yesJournal of High Energy Physics
Leading quantum effects in perturbative quantum gravity are captured by functional determinants of kinetic operators. We study such 1-loop determinants in three-dimensional Euclidean (anti-) de Sitter gravity evaluated using two seemingly disparate tools,
Samuel Haupfear   +3 more
doaj   +1 more source

Exploring superconformal Yang-Mills theories through matrix Bessel kernels

open access: yesSciPost Physics
A broad class of observables in four-dimensional $\mathcal{N}=2$ and $\mathcal{N}=4$ superconformal Yang-Mills theories can be exactly computed in the planar limit for arbitrary 't Hooft coupling as Fredholm determinants of integrable Bessel operators ...
Zoltan Bajnok, Bercel Boldis, Gregory P. Korchemsky
doaj   +1 more source

Fredholm determinants and inverse scattering problems [PDF]

open access: yesCommunications in Mathematical Physics, 1976
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Canonical holomorphic sections of determinant line bundles [PDF]

open access: yes, 2019
We investigate the analytic properties of torsion isomorphisms (determinants) of mapping cone triangles of Fredholm complexes. Our main tool is a generalization to Fredholm complexes of the perturbation isomorphisms constructed by R. Carey and J.
Kaad, Jens   +2 more
core   +1 more source

Asymptotic Expressions for the Fredholm Determinant for State-Variable Covariance Functions

open access: yes, 1974
A new asymptotic expression for the Fredholm determinant is derived for stationary separable covariance functions. Solutions are given for the cases of known state-variable model and known separable covariance.
Steele A.K., Skattebol L.V.
core   +1 more source

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