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In this job, we will present a theory called Quantum Tomography that is the natural extension of the theory of detection of signals in classical telecommunications to Quantum Mechanics. This theory mainly consists in the reconstruction of a…

Quantum Physics · Physics 2015-12-29 Alberto López-Yela

We formulated a mirror-free approach to the mirror conjecture, namely, quantum hyperplane section conjecture, and proved it in the case of nonnegative complete intersections in homogeneous manifolds. For the proof we followed the scheme of…

alg-geom · Mathematics 2007-05-23 Bumsig Kim

Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach for the treatment of finite subsets of mathematical…

Metric Geometry · Mathematics 2007-05-23 M. Baake , P. Gritzmann , C. Huck , B. Langfeld , K. Lord

A tomographic method is described that makes it possible to follow the propagation of shock waves across the photosphere of long-period variable stars. The method relies on the correlation of the observed spectrum with numerical masks…

Astrophysics · Physics 2009-11-07 R. Alvarez , A. Jorissen , B. Plez , D. Gillet , A. Fokin , M. Dedecker

Gas-poor galaxies can be modelled as composite collisionless stellar systems, with a dark matter halo and one or more stellar components, representing different stellar populations. The dynamical evolution of such composite systems is often…

Astrophysics of Galaxies · Physics 2021-03-24 Carlo Nipoti , Giacomo Cherchi , Giuliano Iorio , Francesco Calura

The nine-component positive vector optical tomographic probability portrait of quantum state of spin-1 particles containing full spatial and spin information about the state without redundancy is constructed. Also the suggested approach is…

Quantum Physics · Physics 2016-08-24 Ya. A. Korennoy , V. I. Man'ko

Among the problems still open in the study of stellar structure, we discuss in particular some issues related to the study of convection. We have recently built up complete stellar models, adopting a consistent formulation of convection…

Astrophysics · Physics 2007-05-23 F. D'Antona , J. Montalban , I. Mazzitelli

We analyse the skewness of the line-of-sight velocity distributions in model elliptical galaxies built through collisionless galaxy mergers. We build the models using large N-body simulations of mergers between either two spiral or two…

Astrophysics · Physics 2009-11-11 A. C. Gonzalez-Garcia , M. Balcells , V. S. Olshevsky

X-ray tomography is a powerful volumetric imaging technique, but detailed three dimensional (3D) imaging requires the acquisition of a large number of individual X-ray images, which is time consuming. For applications where spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-02-28 Zhenduo Shang , Thomas Blumensath

We investigate relativistic spherically symmetric static perfect fluid models in the framework of the theory of dynamical systems. The field equations are recast into a regular dynamical system on a 3-dimensional compact state space,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

Cosmology with non-perturbative quantum corrections resulting from torsion is considered. It is shown that the evolution of closed, open and flat Universes is changed because of the presence of a non-zero dispersion of quantum torsion. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 V. Dzhunushaliev , V. Folomeev , B. Kleihaus , J. Kunz

Cool giant and supergiant stars are among the largest and most luminous stars in the Universe and, therefore, dominate the integrated light of their host galaxies. These stars were extensively studied during last few decades, however their…

Solar and Stellar Astrophysics · Physics 2023-03-16 Kateryna Kravchenko

We introduce a new, non-parametric method to infer deprojected 3D mass profiles $M(r)$ of galaxy clusters from weak gravitational lensing observations. The method assumes spherical symmetry and a moderately small convergence, $\kappa…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-20 Tobias Mistele , Amel Durakovic

A new model for the postcollapse equilibrium structure of virialized objects which condense out of the cosmological background universe is described and compared with observations and simulations of cosmological halos from dwarf galaxies to…

Astrophysics · Physics 2009-09-25 Paul R. Shapiro , Ilian T. Iliev

We demonstrate in a {\it proof-of-concept} experiment spectral-domain optical coherence tomography where steering of the optical beam that probes the sample in a transverse scan does not make use of any mechanical element. Steering is done…

Optics · Physics 2023-12-15 Daniel F. Urrego , Gerard J. Machado , Juan P. Torres

The main purpose of this paper is to prove the smooth local orbital linearization theorem for smooth vector fields which admit a complete set of first integrals near a nondegenerate singular point. The main tools used in the proof of this…

Dynamical Systems · Mathematics 2017-12-13 Nguyen Tien Zung

A systematic analysis of the junction condition, relating the radial pressure with the heat flow in a shear-free relativistic radiating star, is undertaken. This is a highly nonlinear partial differential equation in general. We obtain the…

General Relativity and Quantum Cosmology · Physics 2015-12-31 G. Abebe , S. D. Maharaj , K. S. Govinder

The light distribution on the focal surface of spheric mirrors designed for telescopes in the lens-less Schmidt configuration is calculated analytically using geometrical optics. This analysis was motivated by considerations of the design…

Instrumentation and Methods for Astrophysics · Physics 2009-09-16 Paolo Walter Cattaneo

By using a generalization of the optical tomography technique we describe the dynamics of a quantum system in terms of equations for a purely classical probability distribution which contains complete information about the system.

Quantum Physics · Physics 2009-10-30 S. Mancini , V. I. Man'ko , P. Tombesi

A possibility of describing two-level atom states in terms of positive probability distributions (analog to the symplectic tomography scheme) is considered. As a result the basis of the irreducible representation of a rotation group can be…

Quantum Physics · Physics 2007-05-23 Sergey S. Safonov
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