Pseudo-differential operators in an operational model of the quantum measurement of observables

L Sevastyanov, A Zorin, A Gorbachev - … , Stará Lesná, Slovakia, July 4-8 …, 2012 - Springer
The measurement procedure transforms an isolated (closed) quantum system into an open
one. The operators of observables of a rather simple explicit form are converted into pseudo …

Computer modeling of hydrogen-like atoms in quantum mechanics with nonnegative distribution function

AV Zorin, LA Sevastianov, NP Tretyakov - Programming and Computer …, 2007 - Springer
An algorithm for describing operator structures and calculating energy levels for hydrogen-
like atoms in the quantum mechanics with nonnegative distribution function (Kuryshkin's …

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

AV Zorin, AL Sevastianov… - 2017 9th International …, 2017 - ieeexplore.ieee.org
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 …

The computer-based model of quantum measurements

LA Sevastianov, AV Zorin - Physics of Atomic Nuclei, 2017 - Springer
Quantum theory of measurements is an extremely important part of quantum mechanics.
Currently perturbations by quantum measurements of observable quantities of atomic …

Kuryshkin-Wódkiewicz model of quantum measurements for atoms and ions with one valence electron

AV Gorbachev, AV Zorin… - Discrete and Continuous …, 2016 - cyberleninka.ru
The structural form of the Kuryshkin-Wodkiewicz model of quantum measurement was
developed in detail for quantum Kepler problem. For more complex objects such …

A quantum measurements model of Hydrogen-like atoms in maple

L Sevastianov, A Zorin, A Gorbachev - Computer Algebra in Scientific …, 2013 - Springer
Interaction effects between a quantum system and the quantum part of a measurement
system leads to the complexification of the initial system's observable operator. Computer …

Numerical search for the states with minimal dispersion in quantum mechanics with non–negative quantum distribution function

AV Zorin, LA Sevastianov, GA Belomestny - … June 29-July 3, 2004, Revised …, 2005 - Springer
We consider problems of quantum mechanics of Kuryshkin which pass to eigenvalue
problem of conventional quantum mechanics when passing to the limit. From the demand of …

MAPLE program for modelling hydrogen-like atoms in quantum mechanics with non-negative distribution function

AV Zorin, NP Tretyakov - Discrete and Continuous Models and …, 2018 - cyberleninka.ru
The program is proposed for a realization of the symbolic algorithm based on the quantum
mechanics with non-negative probability distribution function (QDF) and for calculations of …

Approximate Computation of States with Minimal Dispersion in Kuryshkin-Wodkiewicz Quantum Mechanics

AV Zorin - 2019 11th International Congress on Ultra Modern …, 2019 - ieeexplore.ieee.org
The transfer of quantum information via quantum communication channels necessarily
includes the process of quantum measurements of output. If we ignore the full description of …

Application of the Model of Quantum Measurments of Valence Electrons of Alcali Metals to Modelling of Quantum Communication Channels

A Zorin, L Sevastianov… - 2018 10th International …, 2018 - ieeexplore.ieee.org
The computer program is proposed for a realization of the symbolic algorithm based on the
quantum mechanics with non-negative probability distribution function (QDF) and for …