The quantum regression formula for an open system consists in infinite hierarchy of conditions its multi-time correlation functions, thus requiring full access to the total "system+environment" evolution, and providing a stronger requirement than CP-divisibility. Here, we analyze CP-divisibility check validity beyond Born-Markov approximation (e.g. weak coupling limit) class generalized spin-bo...

The proton form factor as well the electron proton differential cross section are calculated. The first Born approximation is used to calculate the transition matrix element for the quark system forming the proton target as scattered by the electron. Results are compared with the experiment SLAC-E-136 for elastic electron-proton scattering made in the range of momentum transfer from Q 2 = 2.9 t...

Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an ...

Several hard exclusive scattering processes admit a description in terms of generalized parton distributions and perturbative hard-scattering kernels. Both the physical amplitude and the hard-scattering kernels fulfill dispersion relations. We give a detailed investigation of their consistency at all orders in perturbation theory. The results shed light on the information about generalized part...

We report on evaluation of the diagonal Born–Oppenheimer correction ~DBOC! to the electronic energy with Hartree–Fock ~HF! and conventional correlated wave functions for general molecular systems. Convergence of both HF and configuration interaction ~CI! DBOC with the one-particle basis seems to be rather fast, with triple-z quality correlation consistent sets of Dunning et al. sufficiently com...

The problem of determining a localized scattering potential V(r) from its associated scattering amplitude f(s, s(0)) is addressed within the first Born approximation. The conventional methods, based on Fourier synthesis, for obtaining approximate solutions to the problem are reviewed briefly. A new reconstruction method is proposed that is in the form of an integral transform over the scatterin...

In this paper, we present a Born-type approximation method for bioluminescence tomography (BLT), which is to reconstruct an internal bioluminescent source from the measured bioluminescent signal on the external surface of a small animal. Based on the diffusion approximation for the photon propagation in biological tissue, this BLT method utilizes the Green function to establish a linear relatio...