Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Avron, Joseph E."'
Autor:
Avron, Joseph E., Turner, Ari M.
We describe the homotopy classes of 2 by 2 periodic simple (=non-degenerate) matrices with various symmetries. This turns out to be an elementary exercise in the homotopy of closed curves in three dimensions. The matrices represent gapped Bloch Hamil
Externí odkaz:
http://arxiv.org/abs/2212.07529
Autor:
Avron, Joseph E.
In a paper titled "Asking photons where they have been?" \cite{LV} Danan, Farfurnik, Bar-Ad and Vaidman describe an experiment with pre and post selected photons going through nested Mach-Zehnder interferometers. They find that some of the mirrors le
Externí odkaz:
http://arxiv.org/abs/2007.03624
Autor:
Ori, Amos, Avron, Joseph E.
Publikováno v:
Phys. Rev. A 94, 063837 (2016)
We present a special-relativistic analysis of deformable interferometers where counter propagating beams share a common optical path. The optical path is allowed to change rather arbitrarily and need not be stationary. We show that, in the absence of
Externí odkaz:
http://arxiv.org/abs/1601.01448
Autor:
Avron, Joseph E., Turner, Ari M.
Publikováno v:
Journal of Mathematical Physics; May2024, Vol. 65 Issue 5, p1-16, 16p
Using operator algebraic methods we show that the moment generating function of charge transport in a system with infinitely many non-interacting Fermions is given by a determinant of a certain operator in the one-particle Hilbert space. The formula
Externí odkaz:
http://arxiv.org/abs/0705.0099
We investigate the self-locomotion of an elongated microswimmer by virtue of the unidirectional tangential surface treadmilling. We show that the propulsion could be almost frictionless, as the microswimmer is propelled forward with the speed of the
Externí odkaz:
http://arxiv.org/abs/physics/0701080
Autor:
Avron, Joseph E., Sadun, Lorenzo
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated with bounded and Toeplitz operators. We discuss the possible relevance
Externí odkaz:
http://arxiv.org/abs/math-ph/0008040
Autor:
Avron, Joseph E., Sadun, Lorenzo
We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context of the Quantum Hall Effect.
Comment: LateX, 17 pages, including o
Comment: LateX, 17 pages, including o
Externí odkaz:
http://arxiv.org/abs/math-ph/0003003
Autor:
Avron, Joseph E., Kons, Zvi
Publikováno v:
J.Phys.A32:6097-6113,1999
We show that the response to an electric field, in models of the Integral Quantum Hall effect, is analytic in the field and has isolated essential singularity at zero field. We also study the breakdown of Chern numbers associated with the response of
Externí odkaz:
http://arxiv.org/abs/math-ph/9901018
Publikováno v:
Comm.Math.Phys. 159, 399-422, (1994)
We study the relative index of two orthogonal infinite dimensional projections which, in the finite dimensional case, is the difference in their dimensions. We relate the relative index to the Fredholm index of appropriate operators, discuss its basi
Externí odkaz:
http://arxiv.org/abs/physics/9803014