Results 111 to 120 of about 2,226,866 (302)

Uncovering Hidden Resonances in Non‐Hermitian Systems with Scattering Thresholds

Laser &Photonics Reviews, EarlyView.
The points where diffraction orders emerge or vanish in the propagating spectrum of periodic non‐Hermitian systems are referred to as scattering thresholds. Close to these branch points, resonances from different Riemann sheets can tremendously impact the optical response.
Fridtjof Betz, Felix Binkowski, Jan David Fischbach, Nick Feldman, Lin Zschiedrich, Carsten Rockstuhl, A. Femius Koenderink, Sven Burger   +7 more
wiley   +1 more source

Novel Steganographic Method Based on Hermitian Positive Definite Matrix and Weighted Moore–Penrose Inverses

Applied Sciences
In this paper, we describe the concept of a new data-hiding technique for steganography in RGB images where a secret message is embedded in the blue layer of specific bytes.
Selver Pepić, Muzafer Saračević, Aybeyan Selim, Darjan Karabašević, Marija Mojsilović, Amor Hasić, Pavle Brzaković   +6 more
doaj   +1 more source

Gaussian-random Ensembles of Pseudo-Hermitian Matrices

, 2004
Attention has been brought to the possibility that statistical fluctuation properties of several complex spectra, or, well-known number sequences may display strong signatures that the Hamiltonian yielding them as eigenvalues is PT-symmetric (Pseudo ...
Ahmed, Zafar
core   +2 more sources

Characterization of Hermitian and skew-Hermitian maps between matrix algebras

Linear Algebra and its Applications, 1975
AbstractLet D be a division ring with an involution J such that D is finite-dimensional over its center Z and char D≠2. Let T:Mm(D)→Mn(D) be a Z-linear map between matrix rings over D. We show that T satisfies [T(X)]∗=T(X∗) if and only if T(X)=∑±A∗kXAk. Similarly, T satisfies [T(X)]∗ = − T(X∗) if and only if T(X = ∑(A∗kXBk − B∗kXAk). The first of these
openaire   +3 more sources

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, EarlyView.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Multiplication law and S transform for non-hermitian random matrices

, 2011
We derive a multiplication law for free non-hermitian random matrices allowing for an easy reconstruction of the two-dimensional eigenvalue distribution of the product ensemble from the characteristics of the individual ensembles.
C. E. Porter, D. V. Voiculescu, D. V. Voiculescu, E. Wigner, G. Akemann, J.-P. Bouchaud, M. A. Nowak, M. L. Mehta, N. R. Rao, R. A. Janik, R. A. Janik, V. L. Girko, Z. Burda   +12 more
core   +1 more source

General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo, Elías F. Combarro, Ignacio F. Rúa, José Ranilla   +3 more
wiley   +1 more source

Some New Algebraic Method Developments in the Characterization of Matrix Equalities

Axioms
Algebraic expressions and equalities can be constructed arbitrarily in a given algebraic framework according to the operational rules provided, and thus it is a prominent and necessary task in mathematics and applications to construct, classify, and ...
Yongge Tian
doaj   +1 more source

Real‐time specific absorption rate supervision for a 32‐channel RF transmit system with virtual observation points

Magnetic Resonance in Medicine, EarlyView.
Abstract Purpose Real‐time supervision is a crucial element of an RF parallel transmit (pTx) system to supervise safety of the subject during MR imaging and to utilize the full potential of the RF array. However, the computational demand for the specific absorption rate (SAR) calculation scales much greater than linearly with the number of RF channels.
Thomas M. Fiedler, Stephan Orzada, Johannes A. Grimm, Bottyan Batkai, Stefan Dinkelacker, Fabian J. Kratzer, Christoph Klein, Markus W. May, Falk Mayer, Luisa Schweins, Mark E. Ladd   +10 more
wiley   +1 more source

Unification of Conformal and Fuzzy Gravities With Internal Interactions Resulting in SO(10) and a Possible Probe Through Stochastic Gravitational Wave Background

Fortschritte der Physik, EarlyView.
Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis, Danai Roumelioti, Stelios Stefas, George Zoupanos   +3 more
wiley   +1 more source