Results 31 to 40 of about 63,478 (260)
Choice of a metric for the non-Hermitian oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2006 The harmonic oscillator Hamiltonian, when augmented by a non-Hermitian $\cal{PT}$-symmetric part, can be transformed into a Hermitian Hamiltonian. This is achieved by introducing a metric which, in general, renders other observables such as the usual momentum or position as non-Hermitian operators.
Musumbu D.P., Geyer H.B., Heiss W.D.
openaire +4 more sources
Hodge modules and singular hermitian metrics
Mathematische Zeitschrift, 2022 v2: 17 pages, final version, to appear in Math ...
Schnell, Christian, Yang, Ruijie
openaire +2 more sources
On maximum additive Hermitian rank-metric codes [PDF]
Journal of Algebraic Combinatorics, 2020 Inspired by the work of Zhou "On equivalence of maximum additive symmetric rank-distance codes" (2020) based on the paper of Schmidt "Symmetric bilinear forms over finite fields with applications to coding theory" (2015), we investigate the equivalence issue of maximum $d$-codes of Hermitian matrices. More precisely, in the space $\mathrm{H}_n(q^2)$ of
Trombetti R., Zullo F.
openaire +4 more sources
Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics [PDF]
, 2010 The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrical formulation of quantum mechanics introduces a metric tensor and a ...
Aniello +24 more
core +2 more sources
Symmetry breaking via internal geometry
International Journal of Mathematics and Mathematical Sciences, 2005 Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking.
Andrew Talmadge
doaj +1 more source
Metric operators, generalized hermiticity and lattices of Hilbert lpaces [PDF]
, 2014 A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator.
Albeverio +63 more
core +1 more source
Pluriclosed star split Hermitian metrics
Mathematische Zeitschrift, 2023 We introduce a class of Hermitian metrics, that we call pluriclosed star split, generalising both the astheno-Kähler metrics of Jost and Yau and the $(n-2)$-Gauduchon metrics of Fu-Wang-Wu on complex manifolds. They have links with Gauduchon and balanced metrics through the properties of a smooth function associated with any Hermitian metric.
openaire +4 more sources
RC-positive metrics on rationally connected manifolds
Forum of Mathematics, Sigma, 2020 In this paper, we prove that if a compact Kähler manifold X has a smooth Hermitian metric $\omega $ such that $(T_X,\omega )$ is uniformly RC-positive, then X is projective and rationally connected. Conversely, we show that, if a projective
Xiaokui Yang
doaj +1 more source
Singular hermitian metrics on vector bundles [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 1998 We introduce a notion of singular hermitian metrics (s.h.m.) for holomorphic vector bundles and define positivity in view of $L^2$-estimates. Associated with a suitably positive s.h.m. there is a (coherent) sheaf 0-th kernel of a certain $d''$-complex. We prove a vanishing theorem for the cohomology of this sheaf.
openaire +4 more sources
Finding of the Metric Operator for a Quasi-Hermitian Model
Journal of Function Spaces and Applications, 2013 We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian depending on the two complex parameters α and β and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian Hermitian ...
Ebru Ergun
doaj +1 more source