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The Caldirola-Kanai Model and Its Equivalent Theories for a Damped Oscillator
並列摘要
Based on the Caldirola-Kanai Hamiltonian, we first construct its equivalent theories of interest. In an equivalent theory, the Hamiltonian and the relation between the two Hilbert spaces are obtained by performing a quantum canonical transformation. Then, we use the path-integral technique directly to calculate the exact propagators of the theories. The properties of the Caldirola-Kanai model, including the time evolution of the given initial wave functions and the expectation values of the physical quantities of interest, are studied by using the obtained propagators.
並列關鍵字
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- SMITH, B., & JR., W. E. T. (1992). OSCILLATION AND NONOSCILLATION THEOREMS FOR SOME MIXED DIFFERENCE EQUATIONS. International Journal of Mathematics and Mathematical Sciences, 1992(), 537-541. https://doi.org/10.1155/S0161171292000693
- 林日堯（2006）。Solving the Master Equation of Simple Harmonic Oscillators〔碩士論文，國立清華大學〕。華藝線上圖書館。https://doi.org/10.6843/NTHU.2006.00694
- Gao, C. X., & Wang, P. G. (2013). Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments. Abstract and Applied Analysis, 2013(), 389-398-443. https://doi.org/10.1155/2013/393892
- 林正峰（2009）。Oscillator Design and Analysis for Temperature Compensation〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2009.00174
- Zúñiga, A. E., Romero, O. M., & Díaz, R. K. C. (2012). Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method. Mathematical Problems in Engineering, 2012(), 27-38-402. https://doi.org/10.1155/2012/618750