Results 41 to 50 of about 63,478 (260)
PT-symmetric non-Hermitian Hamiltonian and invariant operator in periodically driven SU(1,1) system
Results in Physics, 2022 We study in this paper the time evolution of PT-symmetric non-Hermitian Hamiltonian consisting of periodically driven SU(1,1)generators. A non-Hermitian invariant operator is adopted to solve the Schrödinger equation, since the time-dependent Hamiltonian
Yan Gu +3 more
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Bi-Hermitian metrics on Kato surfaces [PDF]
Journal of Geometry and Physics, 2019 We investigate bi-Hermitian metrics on compact complex surfaces with odd first Betti number producing new examples with connected anti-canonical divisor using the general construction of \cite{abd15}. The result is a complete classification for all \it unbranched \rm Kato surfaces and a classification up to logarithmic deformation for \it intermediate \
Akira Fujiki, Massimiliano Pontecorvo
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Comptes Rendus. Mathématique, 2021 In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern ...
Chen, Yong
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Special Hermitian metrics and Lie groups
Differential Geometry and its Applications, 2011 12 pages, to appear on the DGA2010 ...
ENRIETTI, NICOLA, FINO, Anna Maria
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On cohomogeneity one Hermitian non-Kähler metrics [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 We investigate the geometry of Hermitian manifolds endowed with a compact Lie group action by holomorphic isometries with principal orbits of codimension one. In particular, we focus on a special class of these manifolds constructed by following Bérard-Bergery which includes, among the others, the holomorphic line bundles on $\mathbb {C}\mathbb {P}^{m ...
Daniele Angella, Francesco Pediconi
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Hunting for the non-Hermitian exceptional points with fidelity susceptibility
Physical Review Research, 2021 The fidelity susceptibility has been used to detect quantum phase transitions in the Hermitian quantum many-body systems over a decade, where the fidelity susceptibility density approaches +∞ in the thermodynamic limits.
Yu-Chin Tzeng +3 more
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HOMOGENEOUS HERMITIAN MANIFOLDS AND SPECIAL METRICS [PDF]
Transformation Groups, 2017 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 ...
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Exact solutions for time-dependent complex symmetric potential well
Acta Polytechnica, 2023 Using the pseudo-invariant operator method, we investigate the model of a particle with a time-dependent mass in a complex time-dependent symmetric potential well V (x, t) = if (t) |x|.
Boubakeur Khantoul, Abdelhafid Bounames
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Hermitian metrics on Calabi–Eckmann manifolds
Differential Geometry and its Applications, 2002 The main purpose of the paper is to provide explicit examples of Riemannian metrics and their associated tensors with respect to a given almost complex structure. To achieve this, the authors consider the Calabi-Eckmann manifolds \(S^{2n+1}\times S^{2m+1}\) and by using the Hopf fibration perform the calculations with respect to a family of Riemannian ...
Santiago R. Simanca, Carlos E. Durán
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Contact Metric Spaces and pseudo-Hermitian Symmetry
Mathematics, 2020 We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold M2n+1, n≥2, is locally pseudo-Hermitian symmetric and satisfies ∇ξh=μhϕ, μ∈R, if and only if M is either a Sasakian locally ϕ-symmetric space or a non-Sasakian (k,μ)-space.
Jong Taek Cho
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