Application of the noncommutative theory of statistical decisions to the modeling of quantum communication channels

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. © 2017 IEEE.

Language
English
Pages
26-31
Status
Published
Volume
2017-November
Year
2018
Organizations
  • 1 Department of Accounting Audit and Statistics, Applied Probability and Informatics Department, Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
Keywords
computer algebra; geometric construction of statistical decisions; non-negative QDF; quantum communication channels; quantum mechanics; transition probability
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6904/
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