Local operator system structures and their tensor products [PDF]
We introduce and explore the theory of tensor products in the category of local operator systems. Analogous to minimal operator system OMIN and maximal operator system OMAX, minimal and maximal local operator system structures LOMIN and LOMAX, respectively, are also discussed.
arxiv
Unifying the theory of Integration within normal-, Weyl- and antinormal-ordering of operators and the s--ordered operator expansion formula of density operators [PDF]
By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators (which considers normal ordered, antinormally ordered and Weyl ordered product of operators as its special cases). The s-ordered operator expansion formula of density operators is
arxiv +1 more source
Generalized matrix summability of a conjugate derived Fourier series
The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more
M Mursaleen, Abdullah Alotaibi
doaj +1 more source
Gauge Theory Loop Operators and Liouville Theory [PDF]
We propose a correspondence between loop operators in a family of four dimensional N=2 gauge theories on S^4 -- including Wilson, 't Hooft and dyonic operators -- and Liouville theory loop operators on a Riemann surface. This extends the beautiful relation between the partition function of these N=2 gauge theories and Liouville correlators found by ...
arxiv +1 more source
New Ansatz for Metric Operator Calculation in Pseudo-Hermitian Field Theory
In this work, a new ansatz is introduced to make the calculations of the metric operator in Pseudo-Hermitian field theory simpler. The idea is to assume that the metric operator is not only a functional of the field operators $\phi$ and its conjugate ...
Shalaby, Abouzeid M.
core +1 more source
Self-consistent projection operator theory for quantum many-body systems [PDF]
We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient analytical and
Peter Degenfeld-Schonburg, M. Hartmann
semanticscholar +1 more source
Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution
We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine+2 more
doaj +1 more source
In this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerkin method.
Salah Boulaaras, Nadjat Doudi
doaj +1 more source
Operator Structures and Quantum One-Way LOCC Conditions [PDF]
We conduct the first detailed analysis in quantum information of recently derived operator relations from the study of quantum one-way local operations and classical communications (LOCC). We show how operator structures such as operator systems, operator algebras, and Hilbert C*-modules all naturally arise in this setting, and we make use of these ...
arxiv +1 more source
Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen+2 more
doaj +1 more source