The Experts below are selected from a list of 5493 Experts worldwide ranked by ideXlab platform
Thierry Giamarchi - One of the best experts on this subject based on the ideXlab platform.
-
the time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
Journal of Statistical Mechanics: Theory and Experiment, 2009Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan–Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in the literature for treating similar problems.
-
time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
arXiv: Other Condensed Matter, 2008Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan-Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in literature for treating similar problems.
Mikhail Zvonarev - One of the best experts on this subject based on the ideXlab platform.
-
the time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
Journal of Statistical Mechanics: Theory and Experiment, 2009Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan–Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in the literature for treating similar problems.
-
time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
arXiv: Other Condensed Matter, 2008Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan-Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in literature for treating similar problems.
Vadim V Cheianov - One of the best experts on this subject based on the ideXlab platform.
-
the time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
Journal of Statistical Mechanics: Theory and Experiment, 2009Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan–Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in the literature for treating similar problems.
-
time dependent correlation function of the jordan wigner Operator as a Fredholm determinant
arXiv: Other Condensed Matter, 2008Co-Authors: Mikhail Zvonarev, Vadim V Cheianov, Thierry GiamarchiAbstract:We calculate a correlation function of the Jordan-Wigner Operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm Operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in literature for treating similar problems.
Eduard Zehnder - One of the best experts on this subject based on the ideXlab platform.
-
morse theory for periodic solutions of hamiltonian systems and the maslov index
Communications on Pure and Applied Mathematics, 1992Co-Authors: Dietmar Salamon, Eduard ZehnderAbstract:In this paper we prove Morse type inequalities for the contractible 1-periodic solutions of time dependent Hamiltonian differential equations on those compact symplectic manifolds M for which the symplectic form and the first Chern class of the tangent bundle vanish over q(M). The proof is based on a version of infinite dimensional Morse theory which is due to Floer. The key point is an index theorem for the Fredholm Operator which plays a central role in Floer homology. The index formula involves the Maslov index of nondegenerate contractible periodic solutions. This Maslov index plays the same role as the Morse index of a nondegenerate critical point does in finite dimensional Morse theory. We shall use this connection between Floer homology and Maslov index to establish the existence of infinitely many periodic solutions having integer periods provided that every I-periodic solution has at least one Floquet multiplier which is not equal to 1.
Bernd Silbermann - One of the best experts on this subject based on the ideXlab platform.
-
logarithmic residues rouche s theorem and spectral regularity the c algebra case
Indagationes Mathematicae, 2012Co-Authors: Harm Bart, Torsten Ehrhardt, Bernd SilbermannAbstract:Abstract Using families of irreducible Hilbert space representations as a tool, the theory of analytic Fredholm Operator valued function is extended to a C ∗ -algebra setting. This includes a C ∗ -algebra version of Rouche’s Theorem known from complex function theory. Also, criteria for spectral regularity of C ∗ -algebras are developed. One of those, involving the (generalized) Calkin algebra, is applied to C ∗ -algebras generated by a non-unitary isometry.
-
Logarithmic Residues of Fredholm Operator Valued Functions and Sums of Finite Rank Projections
Linear Operators and Matrices, 2002Co-Authors: Harm Bart, Torsten Ehrhardt, Bernd SilbermannAbstract:Logarithmic residues of analytic Fredholm Operator valued functions are identified as sums of finite rank projections. The set of all such sums is closed and the restriction of the trace to it is continuous; its connected components are determined by the (integer) values of the trace. Two finite rank bounded linear Operators can be written as the left and right logarithmic residues of a single Fredholm Operator valued function if and only if they belong to the same connected component, i.e., if and only if they are sums of finite rank projections having the same trace.
