Results 11 to 20 of about 2,493 (230)

ON THE METRIC OPERATOR FOR A NONSOLVABLE NON-HERMITIAN MODEL

Reports on Mathematical Physics, 2015
We study a non-Hermitian Hamiltonian the eigenvalues and eigenfunctions of which are not known explicitly. For this Hamiltonian we derive a closed formula for the metric operator and compute the Hermitian counterpart of the non-Hermitian ...
Ergun, Ebru
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The differential geometry of almost Hermitian almost contact metric submersions [PDF]

, 2004
Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied.
T. Tshikuna-Matamba
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Universal Einstein-Hermitian Metrics [PDF]

, 1996
Lemma 3.4 is wrong.
L. Brambila‐Paz, N. Raghavendra
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Homogeneous Hermitian manifolds and special metrics [PDF]

Transformation Groups, 2016
We consider non-Kaehler compact complex manifolds which are homogeneous under the action of a compact Lie group of biholomorphisms and we investigate the existence of special (invariant) Hermitian metrics on these spaces. We focus on a particular class of such manifolds comprising the case of Calabi-Eckmann manifolds and we prove the existence of an ...
Podest\`a, Fabio
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Nonpositively curved Hermitian metrics on product manifolds [PDF]

Proceedings of the American Mathematical Society, 2010
In this article, we classify all the Hermitian metrics on a complex product manifold with nonpositive holomorphic bisectional curvature. It is a generalization of a result by Zheng.
Chengjie Yu
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Some Para-Hermitian Related Complex Structures and Non-existence of Semi-Riemannian Metric on Some Spheres [PDF]

, 1999
It is shown that the spheres S^(2n) (resp: S^k with k ≡ 1 mod 4) can be given neither an indefinite metric of any signature (resp: of signature (r, k − r) with 2 ≤ r ≤ k − 2) nor an almost paracomplex structure.
Erdem, Sadettin
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Time-dependent metric for the two-dimensional, non-Hermitian coupled oscillator [PDF]

, 2020
We provide a time-dependent Dyson map and metric for the two-dimensional harmonic oscillator with a non-Hermitian ixy coupling term. This particular time-independent model exhibits spontaneously broken [Formula: see text]-symmetry and becomes unphysical ...
Frith, T., Fring, A.
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Dynamics of finite dimensional non-hermitian systems with indefinite metric [PDF]

Journal of Mathematical Physics, 2019
We discuss the time evolution of physical finite dimensional systems which are modelled by non-hermitian Hamiltonians. We address both general non-hermitian Hamiltonians and pseudo-hermitian ones.
M Reboiro
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On Kähler-like and G-Kähler-like almost Hermitian manifolds [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems

Physical Review Research
Topological insulators have been studied intensively over the last decades. Earlier research focused on Hermitian Hamiltonians, but recently, peculiar and interesting properties were found by introducing non-Hermiticity.
C Morais Smith, S Heatley, Chao Chen Ye
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