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 n-localization property is preserved under the countable support iteration of suitably definable forcings. This solves a question of Ros lanowski and greatly simplifies the proofs in the area.

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...

The cellular localisation and binding specificity of two NMDAR-targeted near-IR imaging probes has been examined by microscopy, followed by exemplification of MSOT to monitor simulated glutamate bursts in cellulo and a preliminary study in mice observing the signal in the brain.

We study some non-highest weight modules over an affine Kac– Moody algebra ĝ at non-critical level. Roughly speaking, these modules are non-commutative localizations of some non-highest weight “vacuum” modules. Using free field realization, we embed some rings of differential operators in endomorphism rings of our modules. These rings of differential operators act on a localization of the space...

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...