Results 71 to 80 of about 2,226,866 (302)
A formula for polynomials with Hermitian matrix argument
Bulletin des Sciences Mathématiques, 2005 Let \(H_n\) be the space of \(n\times n\) Hermitian matrices and let \(D_n\cong \mathbb R^n\) be the subspace of real diagonal matrices. A central function \(\hat{P}\) on \(H_n\) so that its restriction to the diagonal matrices is a symmetric polynomial \(P\) on \(\mathbb R^n\) is called a (generalized) polynomial of Hermitian matrix argument.
Cristina Balderrama +2 more
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Advanced Optical Materials, EarlyView.Omni‐polarizers that pull all input polarization states to an elliptical or linear polarization can be made using highly resonant bi‐layer metasurfaces. The ellipticity of the selected polarization can be controlled by choosing the layer separation.
Ben Goldberg +2 more
wiley +1 more source
Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
wiley +1 more source
A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices
, 2017 We construct a quantum-inspired classical algorithm for computing the permanent of Hermitian positive semidefinite matrices, by exploiting a connection between these mathematical structures and the boson sampling model.
Cerf, N. J. +2 more
core +1 more source
Advanced Science, EarlyView.A switchable bidirectional acoustic metastructure is proposed, enabling broadband and frequency‐selective absorption via interleaved resonator coupling and exceptional point modulation. It outperforms traditional unidirectional designs, offering compact, efficient sound control from both directions and establishing a generalized framework for extending
Zichao Guo +7 more
wiley +1 more source
Matrix models and parquet approximation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 In this work we consider the comparison of planar and planar parquet approximations for zero-dimensional hermitian matrix models. We discuss how the parquet approach reproduces planar one for matrix model ϕ4, multi-trace model, two-matrix model and the ...
A. O. Shishanin
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A unified treatment for the restricted solutions of the matrix equation $AXB=C$
AIMS Mathematics, 2020 In this paper, the Hermitian, skew-Hermitian, Re-nonnegative definite, Re-positive definite, Re-nonnegative definite least-rank and Re-positive definite least-rank solutions of the matrix equation $AXB= C$ are considered.
Jiao Xu +4 more
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CFT approach to constraint operators for (β-deformed) hermitian one-matrix models
Nuclear Physics B, 2022 Since the (β-deformed) hermitian one-matrix models can be represented as the integrated conformal field theory (CFT) expectation values, we construct the operators in terms of the generators of the Heisenberg algebra such that the constraints can be ...
Rui Wang +3 more
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On unitary/Hermitian duality in matrix models [PDF]
Nuclear Physics B, 2005 Unitary 1-matrix models are shown to be exactly equivalent to hermitian 1-matrix models coupled to 2N vectors with appropriate potentials, to all orders in the 1/N expansion. This fact allows us to use all the techniques developed and results obtained in hermitian 1-matrix models to investigate unitary as well as other 1-matrix models with the Haar ...
openaire +3 more sources