Results 51 to 60 of about 6,503,496 (355)
Adiabatic pumping and transport in the Sierpinski-Hofstadter model
Physical Review Research, 2023 Topological phases have been reported on self-similar structures in the presence of a perpendicular magnetic field. Here, we present an understanding of these phases from a perspective of spectral flow and charge pumping.
Saswat Sarangi, Anne E. B. Nielsen
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Increased skin blood flow during low intensity vibration in human participants: Analysis of control mechanisms using short-time Fourier transform. [PDF]
PLoS ONE, 2018 AIM:Investigate the immediate effect of low intensity vibration on skin blood flow and its underlying control mechanisms in healthy human participants. MATERIALS AND METHODS:One-group pre-post design in a university laboratory setting.
Yi-Ting Tzen +3 more
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Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory [PDF]
, 2005 I generalize the Knizhnik-Zamolodchikov equations to correlators of spectral flowed fields in AdS3 string theory. If spectral flow is preserved or violated by one unit, the resulting equations are equivalent to the KZ equations.
Ribault, Sylvain
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On a comparison principle and the uniqueness of spectral flow [PDF]
Mathematische Nachrichten, 2019 The spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold.
Maciej Starostka, Nils Waterstraat
semanticscholar +1 more source
Unbounded Fredholm Operators and Spectral Flow [PDF]
Canadian Journal of Mathematics, 2005 AbstractWe study the gap (= “projection norm” = “graph distance”) topology of the space of all (not necessarily bounded) self-adjoint Fredholm operators in a separable Hilbert space by the Cayley transformand direct methods. In particular, we show the surprising result that this space is connected in contrast to the bounded case. Moreover, we present a
Booss-Bavnbek, Bernhelm +2 more
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A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of SU(2) connections [PDF]
, 2004 We establish a splitting formula for the spectral flow of the odd signature operator on a closed 3-manifold M coupled to a path of SU(2) connections, provided M = S cup X, where S is the solid torus.
Himpel, Benjamin
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, 2023 This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semi finite sense. The importance of spectral flow for homotopy and index theory are discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices,
Doll, Nora +2 more
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An error estimator for spectral method approximation of flow control with state constraint
Electronic Research Archive, 2022 We consider the spectral approximation of flow optimal control problems with state constraint. The main contribution of this work is to derive an a posteriori error estimator, and show the upper and lower bounds for the approximation error.
Fenglin Huang +2 more
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The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds [PDF]
, 1998 We study the spectral flow of the hermitian Wilson-Dirac operator $\ham(m)$ as a function of $m$ in smooth SU(2) instanton backgrounds on the lattice.
'tHooft +17 more
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Nuclear Physics B, 2017 We study the bulk–edge correspondence in topological insulators by taking Fu–Kane spin pumping model as an example. We show that the Kane–Mele invariant in this model is Z2 invariant modulo the spectral flow of a single-parameter family of 1+1 ...
Yue Yu, Yong-Shi Wu, Xincheng Xie
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