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

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...

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Veröffentlicht in:	Journal of the Korean Physical Society 2015, 67(2), , pp.404-408
Hauptverfasser:	Cha, Jihun, Jang, Eun Ji, Jung, Min, Kim, Do yeon, Kim, Da Hong, Lee, Young Kyu, Park, Sucheol, Kim, Kyun Seok, Chung, Won Sang
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical and Computational Physics Particle and Nuclear Physics Physics Physics and Astronomy Theoretical 물리학
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	0374-4884 1976-8524
DOI:	10.3938/jkps.67.404