Academic literature on the topic 'Damped harmonic oscillator'
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Journal articles on the topic "Damped harmonic oscillator"
Wei Lee. "Damped harmonic oscillator." Physics Teacher 30, no. 7 (October 1992): 388. http://dx.doi.org/10.1119/1.2343586.
Full textStreklas, Antony. "Deformed damped harmonic oscillator." Physica A: Statistical Mechanics and its Applications 377, no. 1 (April 2007): 84–94. http://dx.doi.org/10.1016/j.physa.2006.10.095.
Full textCHOI, JEONG-RYEOL. "UNITARY TRANSFORMATION APPROACH FOR THE PHASE OF THE DAMPED DRIVEN HARMONIC OSCILLATOR." Modern Physics Letters B 17, no. 26 (November 10, 2003): 1365–76. http://dx.doi.org/10.1142/s021798490300644x.
Full textde Castro, L. H. M., B. L. Lago, and Felipe Mondaini. "Damped Harmonic Oscillator with Arduino." Journal of Applied Mathematics and Physics 03, no. 06 (2015): 631–36. http://dx.doi.org/10.4236/jamp.2015.36075.
Full textYurke, Bernard. "Quantizing the damped harmonic oscillator." American Journal of Physics 54, no. 12 (December 1986): 1133–39. http://dx.doi.org/10.1119/1.14730.
Full textUm, Chung-In, Kyu-Hwang Yeon, and Thomas F. George. "The quantum damped harmonic oscillator." Physics Reports 362, no. 2-3 (May 2002): 63–192. http://dx.doi.org/10.1016/s0370-1573(01)00077-1.
Full textLatimer, D. C. "Quantizing the damped harmonic oscillator." Journal of Physics A: Mathematical and General 38, no. 9 (February 17, 2005): 2021–27. http://dx.doi.org/10.1088/0305-4470/38/9/012.
Full textHARWOOD, LUKE, PAUL WARR, and MARK BEACH. "DEVELOPMENT OF CHAOTIC OSCILLATORS FROM THE DAMPED HARMONIC OSCILLATOR." International Journal of Bifurcation and Chaos 23, no. 11 (November 2013): 1330037. http://dx.doi.org/10.1142/s0218127413300371.
Full textRizcallah, Joseph A. "Revisiting the Coulomb-damped harmonic oscillator." European Journal of Physics 40, no. 5 (August 1, 2019): 055004. http://dx.doi.org/10.1088/1361-6404/ab33d1.
Full textWang, Y. "Constrained dynamics of damped harmonic oscillator." Journal of Physics A: Mathematical and General 20, no. 14 (October 1, 1987): 4745–55. http://dx.doi.org/10.1088/0305-4470/20/14/019.
Full textDissertations / Theses on the topic "Damped harmonic oscillator"
Novikov, Alexey. "Path integral formulation of dissipative quantum dynamics." Doctoral thesis, [S.l. : s.n.], 2005. http://archiv.tu-chemnitz.de/pub/2005/0050.
Full textJÃnior, Vanderley Aguiar de Lima. "Entropia e informaÃÃo de sistemas quÃnticos amortecidos." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12896.
Full textNeste trabalho analisamos as soluÃÃes para a equaÃÃo de movimento para os osciladores de Lane-Emden, onde a massa à dada por m(t)=t^α, onde α>0. Os osciladores de Lane-Emden sÃo osciladores harmÃnicos amortecidos, onde o fator de amortecimento depende do tempo, γ(t)=α/t. Obtivemos as expressÃes analÃticas de q(t), dq(t)/dt, and p(t)=m(t)(dq(t)/dt) para α=2 e α=4. Discutimos as diferenÃas entre as expressÃes da hamiltoniana e da energia para sistemas dependentes do tempo. TambÃm, comparamos nossos resultados com aqueles do oscilador de Caldirola-Kanai. Usamos o mÃtodo dos invariantes quÃnticos e uma transformaÃÃo unitÃria para obter a funÃÃo de onda exata de SchrÃdinger, ψn (q,t), e calcular para n=0 a entropia conjunta (entropia de Leipnik) dependente do tempo e as informaÃÃes Fisher para posiÃÃo (Fq) e para o momento (Fp) para duas classes de osciladores harmÃnicos quÃnticos amortecidos. Observamos que a entropia de Leipnik nÃo varia no tempo para o oscilador Caldirola-Kanai, enquanto diminui e tende a um valor constante (ln(e/2)) para tempos assintÃticos para o oscilador de Lane-Emden. Isto à devido ao fato de que, para este Ãltimo, o fator de amortecimento diminui à medida que o tempo aumenta. Os resultados mostram que a dependÃncia do tempo da entropia de Leipnik à bastante complexa e nÃo obedece a uma tendÃncia geral de aumento monotonicamente com o tempo e que Fq aumenta enquanto Fp diminui com o aumento do tempo. AlÃm disso, FqFp aumenta e tende a um valor constante (4/ℏ^2 ) no limite em que t->∞. NÃs comparamos os resultados com os do bem conhecido oscilador de Caldirola-Kanai.
In this work we analyze the solutions of the equations of motions for two Lane-Emden-type Caldirola-Kanai oscillators. For these oscillators the mass varies as m(t)=t^α, where α>0.We obtain the analytical expression of q(t), dq(t)/dt, and p(t)=m(t)(dq(t)/dt) for α=2 and α=4. These are damped-like harmonic oscillators with a time-dependent damping factor given by γ(t)=α/t. We discuss the differences between the expressions for the hamiltonian and the mechanical energy for time-dependent systems. We also compared our results to those of the well-known Caldirola-Kanai oscillators. We use the quantum invariant method and a unitary transformation to obtain the exact SchrÃdinger wave function, ψn (q,t), and calculate for n=0 the time-dependent joint entropy (LeipnikÂs entropy) and the position (Fq) and momentum (Fp) Fisher information for two classes of quantum damped harmonic oscillators. We observe that the joint entropy does not vary in time for the Caldirola-Kanai oscillator, while it decreases and tends to a constant value (ln(e/2)) for asymptotic times for the Lane-Emden ones. This is due to the fact that for the latter, the damping factor decreases as time increases. The results show that the time dependence of the joint entropy is quite complex and does not obey a general trend of monotonously increase with time and that F_q increases while F_p decreases with increasing time. Also, FqFp increases and tends to a constant value (4/ℏ^2 ) in the limit t->∞.We compare the results with those of the well-known Caldirola-Kanai oscillator.
"Linear-space structure and hamiltonian formulation for damped oscillators." 2003. http://library.cuhk.edu.hk/record=b5891621.
Full textThesis (M.Phil.)--Chinese University of Hong Kong, 2003.
Includes bibliographical references (leaves 88).
Text in English; abstracts in English and Chinese.
Chee Shiu Chung = Zu ni zhen zi de xian kong jian jie gou yu ha mi dun li lun / Zhu Zhaozhong.
Chapter 1 --- Introduction --- p.1
Chapter 2 --- Conservative Systems --- p.4
Chapter 2.1 --- General Formalism --- p.4
Chapter 2.2 --- One Simple Harmonic Oscillator --- p.7
Chapter 2.3 --- Two Coupled Harmonic Oscillators --- p.9
Chapter 3 --- Dissipative Systems --- p.12
Chapter 3.1 --- Elimination of Bath --- p.12
Chapter 3.2 --- One Oscillator with Dissipation --- p.16
Chapter 3.3 --- Two Oscillators with Dissipation --- p.19
Chapter 4 --- Eigenvector Expansion and Bilinear Map --- p.21
Chapter 4.1 --- Formalism --- p.21
Chapter 4.2 --- Inner Product and Bilinear Map --- p.23
Chapter 4.3 --- Normalization and Phase --- p.25
Chapter 4.4 --- Matrix Representation --- p.25
Chapter 4.5 --- Duality --- p.28
Chapter 5 --- Applications and Examples of Eigenvector Expansion --- p.31
Chapter 5.1 --- Single Oscillator --- p.31
Chapter 5.2 --- Two Oscillators --- p.32
Chapter 5.3 --- Uneven Damping --- p.33
Chapter 6 --- Time Evolution --- p.36
Chapter 6.1 --- Initial-Value Problem --- p.36
Chapter 6.1.1 --- Green's Function --- p.37
Chapter 6.2 --- Sum Rules --- p.39
Chapter 7 --- Time-Independent Perturbation Theory --- p.41
Chapter 7.1 --- Non-degenerate Perturbation --- p.41
Chapter 7.2 --- Degenerate Perturbation Theory --- p.46
Chapter 8 --- Jordan Block --- p.48
Chapter 8.1 --- Jordan Normal Basis --- p.48
Chapter 8.1.1 --- Construction of Basis Vectors --- p.48
Chapter 8.1.2 --- Bilinear Map --- p.50
Chapter 8.1.3 --- Example of Jordan Normal Basis --- p.55
Chapter 8.2 --- Time Evolution --- p.56
Chapter 8.2.1 --- Time Dependence of Basis Vectors --- p.56
Chapter 8.2.2 --- Initial-Value Problem --- p.58
Chapter 8.2.3 --- Green's Function --- p.59
Chapter 8.2.4 --- Sum Rules --- p.60
Chapter 8.3 --- Jordan Block Perturbation Theory --- p.61
Chapter 8.3.1 --- Lowest Order Perturbation --- p.61
Chapter 8.3.2 --- Higher-Order Perturbation --- p.65
Chapter 8.3.3 --- Non-generic Perturbations --- p.66
Chapter 8.4 --- Examples of High-Order Criticality --- p.66
Chapter 8.4.1 --- Fourth-order JB --- p.67
Chapter 8.4.2 --- Third-order JB --- p.74
Chapter 8.4.3 --- Two Second-order JB --- p.79
Chapter 9 --- Conclusion --- p.81
Chapter A --- Appendix --- p.83
Chapter A.l --- Fourier Transform and Contour Integration --- p.83
Chapter B --- Degeneracy and Criticality --- p.86
Bibliography --- p.88
"Petermann factor and Feynman diagram expansion for ohmically damped oscillators and optical systems." 2004. http://library.cuhk.edu.hk/record=b5892120.
Full textThesis (M.Phil.)--Chinese University of Hong Kong, 2004.
Includes bibliographical references (leaves 95-99).
Text in English; abstracts in English and Chinese.
Yung Man Hong = Shou ou mu zu ni zhen zi he guang xue xi tong nei de Bideman yin shu ji Feiman tu zhan kai / Weng Wenkang.
Acknowledgement --- p.iii
Chapter 1 --- Overview --- p.1
Chapter 1.1 --- The Langevin Equation --- p.1
Chapter 1.2 --- Excess Noise in Lasers --- p.4
Chapter 1.3 --- Non-orthogonality --- p.9
Chapter 2 --- Bilinear Map and Eigenvector Expansion --- p.12
Chapter 2.1 --- Introduction --- p.12
Chapter 2.2 --- Mathematical Formalism --- p.14
Chapter 2.3 --- Criticality and Divergence --- p.19
Chapter 2.4 --- Perturbations and Cancellations --- p.25
Chapter 3 --- Generalized Petermann Factor --- p.34
Chapter 3.1 --- Introduction --- p.34
Chapter 3.2 --- Petermann Factor in Optical Systems --- p.36
Chapter 3.3 --- Generalized Petermann Factor --- p.41
Chapter 3.4 --- Thermal Correlation Functions --- p.43
Chapter 3.5 --- Fluctuation-Dissipation Theorem --- p.46
Chapter 3.6 --- Weak Damping versus Near-Degeneracy --- p.49
Chapter 4 --- Continuum Generalization --- p.56
Chapter 4.1 --- Bilinear map --- p.56
Chapter 4.2 --- Critical Points --- p.58
Chapter 4.3 --- Semiclassical Laser Theory --- p.63
Chapter 5 --- Diagrammatic Expansions --- p.71
Chapter 5.1 --- Introduction --- p.71
Chapter 5.2 --- Nonlinearly Coupled Oscillators --- p.72
Chapter 5.3 --- Path Integral Method --- p.76
Chapter 5.4 --- Feynman Diagram --- p.81
Chapter 6 --- Conclusion --- p.87
Chapter A --- Derivation of the Langevin equation --- p.89
Han, Tun-Hao, and 韓敦皓. "Stochastic Process for Shocks in Financial Markets: An Application of Damped Harmonic Oscillation." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/8n7edz.
Full text國立臺灣大學
統計碩士學位學程
104
In financial economics, the efficient-market hypothesis is well known for stating market behavior. Under this hypothesis, asset prices fully reflect all historical information, which implies that only new relevant information affects market prices. Investors’ reactions to the information is random and in a normally distributed pattern so that the change on the market price is also normally distributed. This is a strong argument for the use of geometric Brownian motion (GBM) on modeling stock prices. However, GBM is not a completely realistic model, in particular it fails to describe some properties of stock prices. One is that GBM is a continuous path through time, but in real life, stock price often show jumps. The other is the mean-reverting property. When stock price is far from its equilibrium due to some shocks, it will have a high chance to be adjusted to its equilibrium nearby, but GBM will still follow the trend even in an unreasonable price level. There have been several models conducted to modify GBM, some examples like Ornstein-Uhlenbeck model for mean-reverting property, jump-diffusion model for discontinuity, and affine jump-diffusion model for both. Recently, more and more economists believes the inefficiency of the market. Investors predictably overreact to new information, creating a large effect on the stock price, making the price oscillate. This kind of oscillation has not been described by those classical models. My thesis is to discuss the dynamic of the oscillation, and introducing a process in the framework of damped harmonic oscillation.
Books on the topic "Damped harmonic oscillator"
service), SpringerLink (Online, ed. Damped Oscillations of Linear Systems: A Mathematical Introduction. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.
Find full textDamped Harmonic Oscillator [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.78154.
Full textBook chapters on the topic "Damped harmonic oscillator"
Garrett, Steven L. "The Simple Harmonic Oscillator." In Understanding Acoustics, 59–131. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_2.
Full text"Damped Harmonic Oscillator." In Mathematical Methods for Oscillations and Waves, 31–64. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9781108769228.004.
Full textFujii, Kazuyuki. "Quantum Damped Harmonic Oscillator." In Advances in Quantum Mechanics. InTech, 2013. http://dx.doi.org/10.5772/52671.
Full text"Path Integral Formulation of a Damped Harmonic Oscillator." In Classical and Quantum Dissipative Systems, 351–69. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813207929_0016.
Full textMAASSEN, HANS. "QUANTUM PROBABILITY APPLIED TO THE DAMPED HARMONIC OSCILLATOR." In Quantum Probability Communications, 23–58. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812775429_0002.
Full text"Path Integral Formulation of a Damped Harmonic Oscillator." In Classical and Quantum Dissipative Systems, 223–38. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2006. http://dx.doi.org/10.1142/9781860949180_0015.
Full text"Damped and Driven Harmonic Oscillation." In Oscillations and Waves, 25–42. CRC Press, 2013. http://dx.doi.org/10.1201/b14579-4.
Full textGuo, Qian. "Approximate periodic solutions of damped harmonic oscillators with delayed feedback." In Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis, 339–60. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814436465_0017.
Full textConference papers on the topic "Damped harmonic oscillator"
Narahari Achar, B. N., and John W. Hanneken. "Damping in a Fractional Relaxor-Oscillator Driven by a Harmonic Force." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84345.
Full textKek, Sie Long, Wah June Leong, Sy Yi Sim, and Chuei Yee Chan. "Conjugate Gradient Approach for Linear Optimal Control of Damped Harmonic Oscillator." In International Conference of Control, Dynamic Systems, and Robotics. Avestia Publishing, 2019. http://dx.doi.org/10.11159/cdsr19.130.
Full textManiscalco, Sabrina, Jyrki Piilo, and Kalle-Antti Suominen. "Quantum Zeno and anti-Zeno effects for the damped harmonic oscillator." In SPIE Fourth International Symposium on Fluctuations and Noise, edited by Leon Cohen. SPIE, 2007. http://dx.doi.org/10.1117/12.725091.
Full textLuo, Albert C. J., and Jianzhe Huang. "Analytical Periodic Motions in a Periodically Forced, Damped Duffing Oscillator." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86077.
Full textJURKOWSKI, JACEK. "AN INTRODUCTION TO QUANTIZATION OF DISSIPATIVE SYSTEMS: THE DAMPED HARMONIC OSCILLATOR CASE." In From Quantum Information to Bio-Informatics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814304061_0015.
Full textXu, Yufeng, and Om P. Agrawal. "Numerical Solutions of Generalized Oscillator Equations." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12705.
Full text"A damped harmonic oscillator in the classical and fractional differential calculus with the Liouville derivative." In Engineering Mechanics 2018. Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, 2018. http://dx.doi.org/10.21495/91-8-657.
Full textLee, Young S., Gae¨tan Kerschen, Alexander F. Vakakis, Panagiotis Panagopoulos, Lawrence A. Bergman, and D. Michael McFarland. "Surprisingly Complicated Dynamics of a Single-Degree-of-Freedom Linear Oscillator Coupled to a Nonlinear Attachment." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84688.
Full textPawlikowski, Rafał, Paweł Łabędzki, and Andrzej Radowicz. "The fractional differential equation with Riemann derivative versus the classical equation for a damped harmonic oscillator." In SCIENTIFIC SESSION ON APPLIED MECHANICS X: Proceedings of the 10th International Conference on Applied Mechanics. Author(s), 2019. http://dx.doi.org/10.1063/1.5091906.
Full textLuo, Albert C. J., and Bo Yu. "Bifurcation Trees of a Periodically Forced, Two-Degree-of-Freedom Oscillator With a Nonlinear Hardening Spring." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-50028.
Full textReports on the topic "Damped harmonic oscillator"
Mickens, Ronald, and Kale Oyedeji. Dominant Balance Analysis of the Fractional Power Damped Harmonic Oscillator. Atlanta University Center Robert W. Woodruff Library, 2019. http://dx.doi.org/10.22595/cau.ir:2020_mickens_oyedeji_harmonic_oscillator.
Full textOh, H. G., H. R. Lee, Thomas F. George, and C. I. Um. Exact Wave Functions and Coherent States of a Damped Driven Harmonic Oscillator. Fort Belvoir, VA: Defense Technical Information Center, February 1989. http://dx.doi.org/10.21236/ada205785.
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