On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency

  • Cha, Jihun; 
  • Jang, Eun Ji; 
  • Jung, Min; 
  • Kim, Do yeon; 
  • Kim, Da Hong; 
  • ... Chung, Won Sang; 
  • 외 3명
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초록

In this paper, we consider the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency, which is actually the generalized Caldirola-Kanai Hamiltonian. For some choices of the time-dependent damping constant and the time-dependent angular frequency, we investigate the exact solutions. We also obtain the corresponding conserved quantities and finally discuss the quantum damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency.

키워드

Damped harmonic oscillator; Time-dependent damping constant; Time-dependent angular frequency; Generalized Caldirola-Kanai Hamiltonian; TRANSFORMATIONS; MECHANICS; SYSTEMS
제목
On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
저자
Cha, Jihun; Jang, Eun Ji; Jung, Min; Kim, Do yeon; Kim, Da Hong; Lee, Young Kyu; Park, Sucheol; Kim, Kyun Seok; Chung, Won Sang
DOI
10.3938/jkps.67.404
발행일
2015-07
유형
Article
저널명
Journal of the Korean Physical Society
권
67
호
2
페이지
404 ~ 408