Title
Application of the noncommutative theory of statistical decisions to the modeling of quantum communication channels
Abstract
In this work the symbolic algorithm for the calculations of transition probabilities for hydrogen-like atoms in terms of quantum mechanics with non-negative probability distribution function is proposed. The problem was solved in terms of eigenvalues of the finite-approximated Ritz matrices. All the necessary functions, including wave functions, Sturmian functions and their Fourier-transforms, Clebsh-Gordan coefficients etc. were united in one single framework. The program is written using Maple. Results were compared with the data provided by NIST Atomic Spectra Database.
Year
DOI
Venue
2017
10.1109/ICUMT.2017.8255195
2017 9th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)
Keywords
Field
DocType
computer algebra,geometric construction of statistical decisions,non-negative QDF,quantum communication channels,quantum mechanics,transition probability
Information theory,Applied mathematics,Noncommutative geometry,Computer science,Matrix (mathematics),Wave function,Probability distribution,Quantum information science,Probability density function,Eigenvalues and eigenvectors,Distributed computing
Conference
ISSN
ISBN
Citations 
2157-0221
978-1-5386-3436-3
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alexander V. Zorin121.26
A. L. Sevastianov200.34
Leonid A. Sevastianov345.07