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.

Издательство
IEEE
Язык
Английский
Страницы
26-31
Статус
Опубликовано
Том
2017-November
Год
2018
Организации
  • 1 Department of Accounting Audit and Statistics, Applied Probability and Informatics Department, Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
Ключевые слова
computer algebra; geometric construction of statistical decisions; non-negative QDF; quantum communication channels; quantum mechanics; transition probability
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Другие записи

Sevastianov L.A., Vasilyev S.A.
9th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2017. Munich, Germany, November 6-8, 2017.. IEEE. Том 2017-November. 2018. С. 7-12