Newton equation and Schrodinger equation for the harmonic oscillator with probability distributions in frequency

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017005" target="_blank" >RIV/62690094:18470/20:50017005 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378437120305057/pdfft?md5=d875e2a20c2791583088f8db049cf55d&pid=1-s2.0-S0378437120305057-main.pdf" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378437120305057/pdfft?md5=d875e2a20c2791583088f8db049cf55d&pid=1-s2.0-S0378437120305057-main.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physa.2020.124967" target="_blank" >10.1016/j.physa.2020.124967</a>

Result language
angličtina
Original language name
Newton equation and Schrodinger equation for the harmonic oscillator with probability distributions in frequency
Original language description
In this paper, we discuss Newton equation for the harmonic oscillator with probability distributions in frequency, where the frequency is a stochastic variable with a suitable probability distribution. A new type of Newton equation is obtained by taking the stochastic average of Newton equation with harmonic force with respect to the fluctuating frequency. This method is also applied to the Schrodinger equation with harmonic potential. (C) 2020 Elsevier B.V. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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