The Euler Number of Bloch States Manifold and the Quantum Phases in Gapped Fermionic Systems
, 2013 We propose a topological Euler number to characterize nontrivial topological phases of gapped fermionic systems, which originates from the Gauss-Bonnet theorem on the Riemannian structure of Bloch states established by the real part of the quantum ...
Berry M. V. +11 more
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Berry's phase and the anomalous velocity of Bloch wavepackets
, 2010 The semiclassical equations of motion for a Bloch electron include an anomalous velocity term analogous to a $k$-space "Lorentz force", with the Berry connection playing the role of a vector potential. By examining the adiabatic evolution of Bloch states
Chong, Y. D.
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Off Resonant Pumping for Transition from Continuous to Discrete Spectrum and Quantum Revivals in Systems in Coherent States [PDF]
, 2000 We show that in parametrically driven systems and, more generally, in systems in coherent states, off-resonant pumping can cause a transition from a continuum energy spectrum of the system to a discrete one, and result in quantum revivals of the initial ...
Agarwal G S +12 more
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Weighted Differentiation Composition Operators to Bloch-Type Spaces
Abstract and Applied Analysis, 2013 We characterized the boundedness and compactness of weighted differentiation composition operators from BMOA and the Bloch space to Bloch-type spaces. Moreover, we obtain new characterizations of boundedness and compactness of weighted differentiation ...
Junming Liu +2 more
doaj +1 more source
The Bergman Spaces, The Bloch Space, and Gleason's Problem [PDF]
Transactions of the American Mathematical Society, 1988 Suppose f f is a holomorphic function on the open unit ball B n {B_n} of C n {{\mathbf {C}}^n} .
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On ℳ-harmonic Bloch space [PDF]
Proceedings of the American Mathematical Society, 1995 We show that many of the characterizations of analytic Bloch functions also characterize M \mathcal {M} -harmonic Bloch functions.
Miroljub Jevtić, Miroslav Pavlović
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The closure of derivative average radial integrable spaces in the Bloch space
Journal of Inequalities and ApplicationsA description of the closure in the Bloch space of the Bloch functions that are in the derivative average radial integrable space is given. As a byproduct, we get some new characterizations for the Bloch space B $\mathcal{B}$ , the little Bloch space B 0
Xiangling Zhu, Rong Yang
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Probing non-Hermitian skin effect and non-Bloch phase transitions
Physical Review Research, 2019 In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry-breaking phase transitions in systems with ...
Stefano Longhi
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Quantifying the Impact of Ocrelizumab on Paramagnetic Rim Lesions in Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Paramagnetic rim lesions (PRLs) are a subset of chronic active multiple sclerosis (MS) lesions marked by iron‐laden microglia and macrophages. Ocrelizumab, a monoclonal antibody targeting CD20+ B cells, suppresses acute MS activity, but its effect on PRLs remains unclear. In a longitudinal study of 29 ocrelizumab‐treated patients with at least
Kimberly H. Markowitz +8 more
wiley +1 more source
Composition operators between p -Bloch space and q -Bloch space in the unit ball*
Progress in Natural Science, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Zehua, Zeng, Honggang
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