We show that there is only one operator having some minimal properties enabling it to be a one photon position operator. These properties are stated, and the solution is shown to be the photon position operator proposed by Pryce. This operator has non-commuting components. Nevertheless, it is shown that one can find states localized with an arbitrary precision.

The Weyl correspondence is a convenient way to define a broad class of time-frequency localization operators. Given a region Ω in the time-frequency plane R and given an appropriate μ, the Weyl correspondence can be used to construct an operator L(Ω, μ) which essentially localizes the time-frequency content of a signal on Ω. Different choices of μ provide different interpretations of localizati...

In this paper we investigate the semiclassical behavior of the lowest eigenvalues of a model Schrödinger operator with variable magnetic field. This work aims at proving an accurate asymptotic expansion for these eigenvalues, the corresponding upper bound being already proved in the general case. The present work also aims at establishing localization estimates for the attached eigenfunctions. ...

We prove R-sectoriality or, equivalently, Lp-maximal regularity for a class of operators on cylindrical domains of the form Rn−k × V , where V ⊂ Rk is a domain with compact boundary, Rk, or a half-space. Instead of extensive localization procedures, we present an elegant approach via operator valued multiplier theory, which takes advantage of the cylindrical shape of both, the domain and the op...

background: breast conservation therapy (bct) is the standard of care for early stage breast cancer. the procedure can be a challenge for the surgeon if the lesion is non-palpable. for excision of non-palpable breast lesions, they should be localized precisely before surgery. there are different techniques such as the wgl (wire guided localization), roll (radio-guided occult lesion localization...

We consider properties of zero and near-zero modes for overlap fermion operator in SU(2) lattice gluodynamics. The density of the states is of the order of Λ QCD while the localization volume of the modes tends to zero in physical units with the lattice spacing tending to zero. The situation changes drastically when we study "vortex removed" configurations.

Providing the localization algorithm for context-aware services is the focus of many studies. This paper explores the properties of positioning models based on received signal strength (RSS) in PLMN (Public Land Mobile Network) networks. The effects of using the RSS at a mobile terminal from various systems, such as GSM and UMTS, as well as from multiple operators, have been investigated and di...

A blind source separation algorithm is used to estimate the mixing operator from electromagnetic emission signals through independent component analysis (ICA) technique. The mixing operator contains important information about the sources’ features and about the electromagnetic field propagation phenomena, thus, by properly interpreting the results given by the ICA algorithm a blind source loca...

This paper presents MOCT, a multi-object chromatic tracking technique for real-time natural video processing. Its main step is the MOCT localization algorithm, that performs local data evaluations in order to apply a multiple output parallel reduction operator to the image. The reduction operator is used to localize the positions of the object centroids, to compute the number of pixels occupied...

Some key features of the overlap operator with a UV-filtered Wilson kernel are discussed. The first part concerns spectral properties of the underlying shifted hermitean Wilson operator and the relation to the observed speedup of the overlap construction. Next, the localization of the filtered overlap and its axial-vector renormalization constant are discussed. Finally, results of an explorator...