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RISAn inversion formula for the transport equation in ℝ3 using complex analysis in several variables
In this paper, the stationary photon transport equation has been extended by analytical continuation from R3 to C3. A solution to the inverse problem posed by this equation is obtained on a hyper-sphere and a hyper-cylinder ...
Complexity and entropy in colliding particle systems
We develop quantitative measures of entropy evolution for particle systems undergoing collision process in relation with various instability properties.
A formula for the spectral projection of the time operator
In this paper, we study the one-level Friedrichs model by using
the quantum time super-operator that predicts the excited state decay inside
the continuum. Its survival probability decays exponentially in time.
A new definition and properties of the similarity value between two protein structures
Knowledge regarding the 3D structure of a protein provides useful information
about the protein’s functional properties. Particularly, structural similarity between proteins can
be used as a good predictor ...
مدلی برای به ست آوردن حفره های پروتئین
در دهۀ اخیر، با توجه به پیشرفت علوم و فنآوری محاسباتی، استفاده از روشهای محاسباتی در تولید داروهای ضد سرطان متداول شده است. با توجه به فرایند تأثیر دارو بر سلول، محققان در " کشف دارو" به دنبال اسید آمینه های )لیگاند( ...
Inversion formula for the non-uniformly attenuated x-ray transform for emission imaging in R3 using quaternionic analysis
In this paper, we present a new derivation of the inverse of the non-uniformly
attenuated x-ray transform in three dimensions, based on quaternion analysis.
An explicit formula is obtained using a set of ...
Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis
In this paper we first show in the framework of quaternion analysis how the fundamental solutions of the Dirac operators with vector potential can be obtained. Then, we use the obtained results to present a derivation of ...
Decay probability distribution of quantum-mechanical unstable systems and time operator
We study the decay probability distribution and the survival probability of unstable quantum systems using an explicit formula of the spectral projections of the time operator in the statistical Liouville description for ...
On the inverse of the directional derivative operator in RN
In this work, the simplest partial differential equation in { bb R}^N is studied and some of its properties derived. It describes the infinitesimal translation of a function Φ in a fixed direction specified by a unit vector ...
Computation of entropy increase for Lorentz gas and hard disks
Entropy functionals are computed for non-stationary distributions of particles of Lorentz gas and hard disks. The distributions
consisting of beams of particles are found to have the largest amount of entropy and ...