538 research outputs found
Inverse problems for Schrodinger equations with Yang-Mills potentials in domains with obstacles and the Aharonov-Bohm effect
We study the inverse boundary value problems for the Schr\"{o}dinger
equations with Yang-Mills potentials in a bounded domain
containing finite number of smooth obstacles . We
prove that the Dirichlet-to-Neumann operator on determines
the gauge equivalence class of the Yang-Mills potentials. We also prove that
the metric tensor can be recovered up to a diffeomorphism that is identity on
.Comment: 15 page
A new approach to hyperbolic inverse problems II (Global step)
We study the inverse problem for the second order self-adjoint hyperbolic
equation with the boundary data given on a part of the boundary. This paper is
the continuation of the author's paper [E]. In [E] we presented the crucial
local step of the proof. In this paper we prove the global step. Our method is
a modification of the BC-method with some new ideas. In particular, the way of
the determination of the metric is new.Comment: 21 pages, 2 figure
A new approach to hyperbolic inverse problems
We present a modification of the BC-method in the inverse hyperbolic
problems. The main novelty is the study of the restrictions of the solutions to
the characteristic surfaces instead of the fixed time hyperplanes. The main
result is that the time-dependent Dirichlet-to-Neumann operator prescribed on a
part of the boundary uniquely determines the coefficients of the self-adjoint
hyperbolic operator up to a diffeomorphism and a gauge transformation. In this
paper we prove the crucial local step. The global step of the proof will be
presented in the forthcoming paper.Comment: We corrected the proof of the main Lemma 2.1 by assuming that
potentials A(x),V(x) are real value
Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach
We describe the general setting for the optical Aharonov-Bohm effect based on
the inverse problem of the identification of the coefficients of the governing
hyperbolic equation by the boundary measurements. We interpret the inverse
problem result as a possibility in principle to detect the optical
Aharonov-Bohm effect by the boundary measurements.Comment: 34 pages. Minor changes, references adde
The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms
The calculation of hadronic polarizability contribution of the nucleus to
hyperfine structure of muonic hydrogen and helium is carried out within the
unitary isobar model and experimental data on the polarized structure functions
of deep inelastic lepton-proton and lepton-deuteron scattering. The calculation
of virtual absorption cross sections of transversely and longitudinally
polarized photons by nucleons in the resonance region is performed in the
framework of the program MAID.Comment: 8 pages, 3 figures, Talk presented at 23th International Workshop on
High Energy Physics and Quantum Field Theory (QFTHEP 2017
Inverse hyperbolic problems and optical black holes
In this paper we give a more geometrical formulation of the main theorem in
[E1] on the inverse problem for the second order hyperbolic equation of general
form with coefficients independent of the time variable. We apply this theorem
to the inverse problem for the equation of the propagation of light in a moving
medium (the Gordon equation). Then we study the existence of black and white
holes for the general hyperbolic and for the Gordon equation and we discuss the
impact of this phenomenon on the inverse problems
Shear stress induced stimulation of mammalian cell metabolism
A flow apparatus was developed for the study of the metabolic response of anchorage dependent cells to a wide range of steady and pulsatile shear stresses under well controlled conditions. Human umbilical vein endothelial cell monolayers were subjected to steady shear stresses of up to 24 dynes/sq cm, and the production of prostacyclin was determined. The onset of flow led to a burst in prostacyclin production which decayed to a long term steady state rate (SSR). The SSR of cells exposed to flow was greater than the basal release level, and increased linearly with increasing shear stress. It is demonstrated that shear stresses in certain ranges may not be detrimental to mammalian cell metabolism. In fact, throughout the range of shear stresses studied, metabolite production is maximized by maximizing shear stress
Spherical averages in the space of marked lattices
A marked lattice is a -dimensional Euclidean lattice, where each lattice
point is assigned a mark via a given random field on . We prove
that, if the field is strongly mixing with a faster-than-logarithmic rate, then
for every given lattice and almost every marking, large spheres become
equidistributed in the space of marked lattices. A key aspect of our study is
that the space of marked lattices is not a homogeneous space, but rather a
non-trivial fiber bundle over such a space. As an application, we prove that
the free path length in a crystal with random defects has a limiting
distribution in the Boltzmann-Grad limit
Contribution of hadronic light-by-light scattering to the hyperfine structure of muonium
The contribution of hadronic scattering of light-by-light to the hyperfine
structure of muonium is calculated using experimental data on the transition
form factors of two photons into a hadron. The amplitudes of interaction
between a muon and an electron with horizontal and vertical exchange are
constructed. The contributions due to the exchange of pseudoscalar, axial
vector, scalar and tensor mesons are taken into account.Comment: 13 pages, 1 figur
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