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On the exact solutions of the damped harmonic oscillator with a time-dependent damping constant and a time-dependent angular frequency
- Authors
- Cha, Jihun; Jang, Eun Ji; Jung, Min; Kim, Do yeon; Kim, Da Hong; Lee, Young Kyu; Park, Sucheol; Kim, Kyun Seok; Chung, Won Sang
- Issue Date
- Jul-2015
- Publisher
- KOREAN PHYSICAL SOC
- Keywords
- Damped harmonic oscillator; Time-dependent damping constant; Time-dependent angular frequency; Generalized Caldirola-Kanai Hamiltonian
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.67, no.2, pp 404 - 408
- Pages
- 5
- Indexed
- SCI
SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Volume
- 67
- Number
- 2
- Start Page
- 404
- End Page
- 408
- ISSN
- 0374-4884
1976-8524
- Abstract
- 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.
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