Title | ||
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Application of the noncommutative theory of statistical decisions to the modeling of quantum communication channels |
Abstract | ||
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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 |
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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. Zorin | 1 | 2 | 1.26 |
A. L. Sevastianov | 2 | 0 | 0.34 |
Leonid A. Sevastianov | 3 | 4 | 5.07 |