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Newton equation and Schrodinger equation for the harmonic oscillator with probability distributions in frequency
- Chung, Won Sang;
- Hassanabadi, Hassan;
- Kriz, Jan
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0초록
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.
키워드
Harmonic oscillator; Probability distribution; Superstatistical; COHERENT STATES; BROWNIAN-MOTION; SYSTEMS; SUPERSTATISTICS
- 제목
- Newton equation and Schrodinger equation for the harmonic oscillator with probability distributions in frequency
- 저자
- Chung, Won Sang; Hassanabadi, Hassan; Kriz, Jan
- 발행일
- 2020-11-15
- 유형
- Article
- 권
- 558
- 언어
- ENG
- 출판사
- Elsevier BV
- 발행국가
- 네덜란드
- ISSN
- E 1873-2119
P 0378-4371