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Books on the topic 'Harmonic oscillators'

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Published: 4 June 2021
Last updated: 29 July 2024

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1

Moshinsky, Marcos. The Harmonic oscillator in modern physics. Amsterdam, The Netherlands: Harwood Academic Publishers, 1996.

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2

Rhea, Randall W. Discrete oscillator design: Linear, nonlinear, transient, and noise domains. Boston: Artech House, 2010.

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3

Dmitrikov, V. F. Vysokoėffektivnye formirovateli garmonicheskikh kolebaniĭ. Moskva: "Radio i svi͡a︡zʹ", 1988.

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4

Dmitrikov, V. F. Teorii͡a︡ kli͡u︡chevykh formirovateleĭ garmonicheskikh kolebaniĭ. Kiev: Nauk. dumka, 1993.

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5

Camargo, Edmar. Design of FET frequency multipliers and harmonic oscillators. Boston: Artech House, 1998.

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6

D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program, eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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7

D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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8

D, Han, Kim Y. S, Zachary W. W. 1935-, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., eds. Workshop on harmonic oscillators: Proceedings of a conference held at the University of Maryland, College Park, Maryland, March 25-28, 1992. [Washington, D.C.]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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9

Parmeggiani, Alberto. Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11922-4.

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10

service), SpringerLink (Online, ed. Spectral theory of non-commutative harmonic oscillators: An introduction. Heidelberg: Springer, 2010.

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11

Staveren, Arie van. Structured electronic design: High-performance harmonic oscillators and bandgap references. Boston: Kluwer Academic Publishers, 2001.

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12

Danilov, A. G. (Aleksandr Gennadʹevich), ed. Ėffektivnye uslovii͡a koleblemosti lineĭnoĭ sistemy. Sverdlovsk: UrO AN SSSR, 1987.

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13

Ivanov, A. G. (Aleksandr Gennadʹevich) and Fiziko-tekhnicheskiĭ institut (Akademii͡a nauk SSSR. Uralʹskoe otdelenie), eds. Koleblemostʹ lineĭnoĭ sistemy otnositelʹno konusa i ravnomernai͡a lokalʹnai͡a upravli͡aemostʹ. Sverdlovsk: UrO AN SSSR, 1990.

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14

1939-, Hannaford Peter, ed. Femtosecond laser spectroscopy. New York, NY: Springer, 2005.

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15

1946-, Berman Gennady P., ed. Quantum chaos: A harmonic oscillator in monochromatic wave. Princeton, N.J: Rinton Press, 2001.

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16

Stein, Elias M. Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals. Princeton, N.J: Princeton University Press, 1993.

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17

Comeaux, Zachary. Harmonic healing: Facilitated oscillatory release and other rhythmic connective tissue techniques. Berkeley, Calif: North Atlantic Books, 2008.

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18

Simon, Barry. Harmonic analysis. Providence, Rhode Island: American Mathematical Society, 2015.

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19

Center, Langley Research, ed. Analysis of wind tunnel oscillatory data of the X-31A aircraft. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1999.

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20

T, Papageorgiou Demetrios, Smyrlis Yiorgos S, and Institute for Computer Applications in Science and Engineering., eds. Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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21

W, Swafford Timothy, Reddy T. S. R, and Lewis Research Center, eds. Euler flow predictions for an oscillating cascade using a high resolution wave-split scheme. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1991.

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22

Shang, Yilun. Harmonic Oscillators: Types, Functions and Applications. Nova Science Publishers, Incorporated, 2019.

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23

Harmonic Oscillators: Types, Functions and Applications. Nova Science Publishers, Incorporated, 2019.

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24

Bloch, S. C. Introduction to Classical and Quantum Harmonic Oscillators. Wiley & Sons, Incorporated, John, 2013.

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25

Bloch, Sylvan C. Introduction to Classical and Quantum Harmonic Oscillators. Wiley & Sons, Incorporated, John, 2013.

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26

Introduction to classical and quantum harmonic oscillators. New York: Wiley, 1997.

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27

Blaise, Paul, and Olivier Henri-Rousseau. Quantum Oscillators. Wiley & Sons, Incorporated, John, 2011.

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28

Blaise, Paul, and Olivier Henri-Rousseau. Quantum Oscillators. Wiley & Sons, Incorporated, John, 2011.

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29

Blaise, Paul, and Olivier Henri-Rousseau. Quantum Oscillators. Wiley & Sons, Incorporated, John, 2011.

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30

Hegazi, Emad Eldin, Jacob Rael, and Asad Abidi. Designer's Guide to High-Purity Oscillators. Springer London, Limited, 2006.

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31

Hegazi, Emad, Jacob Rael, and Asad Abidi. The Designer's Guide to High-Purity Oscillators (The Designer's Guide Book Series). Springer, 2004.

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32

Rael, Jacob, Asad Abidi, and Emad Eldin Eldin Hegazi. The Designer's Guide to High-Purity Oscillators. Springer, 2010.

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33

Kim, Ernest M., and Schubert Thomas F. Jr. Fundamentals of Electronics : Book 4: Oscillators and Advanced Electronics Topics. Morgan & Claypool Publishers, 2016.

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34

Haraoubia, Brahim. Nonlinear Electronics 1: Nonlinear Dipoles, Harmonic Oscillators and Switching Circuits. Elsevier, 2018.

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35

Staveren, Arie Van. Structured Electronic Design: High-Performance Harmonic Oscillators And Bandgap References. Springer, 2010.

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36

Arthur H. M. van Roermund, Arie van Staveren, and Chris J. M. Verhoeven. Structured Electronic Design: High-Performance Harmonic Oscillators and Bandgap References. Springer London, Limited, 2006.

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37

Roermund, Arthur H. M. van, Chris J. M. Verhoeven, and Arie van Staveren. Structured Electronic Design - High-Performance Harmonic Oscillators and Bandgap References (The Kluwer International Series in Engineering and Computer ... Series in Engineering and Computer Science). Springer, 2000.

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38

Montgomery, Erwin B. Discrete Neural Oscillators. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780190259600.003.0017.

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The therapeutic mechanisms of action of DBS likely involve neural and neuronal oscillators. “Neuronal oscillators” describes periodic fluctuations of electrical potentials across the neuronal membrane, particularly in the soma, which is reflected in an action-potential-initiating segment. “Neural oscillators” describes closed loop (feedback) multi-neuronal polysynaptic circuits, on account of the propagations of action potentials through the circuit. Neural oscillators are the focus of this chapter. The features, properties and dyanmics introduced in Chapter 16 – Basic Oscillators are extended from continuous harmonic oscillators to discrete neural oscillators. While discrete oscillators received scant attention to date, systems of discrete oscillators have much richer set of dynamics that could provide better understanding of the pathophysiology and physiology of neural systems, such as the basal ganglia-thalamic-cortical system as well as greater insights into the therapeutic mechanisms of action underlying DBS.
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39

GITTERMAN, Moshe. Oscillator and Pendulum with a Random Mass. World Scientific Publishing Co Pte Ltd, 2015.

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40

Haraoubia, Brahim. Nonlinear Electronics 1: Non-Linear Dipoles, Harmonic Oscillators and Switching Circuits. Elsevier, 2018.

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41

Harmonic Oscillators and Two-by‑two Matrices in Symmetry Problems in Physics. MDPI, 2017. http://dx.doi.org/10.3390/books978-3-03842-501-4.

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42

Ricketts, David, and John A. A. McNeill. The Designer's Guide to Jitter in Ring Oscillators. Springer, 2010.

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43

The noisy oscillator: The first hundred years, from Einstein until now. Hackensack, NJ: World Scientific, 2006.

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44

Kim, Y. S. Theory and Applications of the Poincaré Group. Springer, 2011.

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45

Kazakov, Konstantin V. Quantum Theory of Anharmonic Effects in Molecules. Elsevier, 2012.

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46

Kazakov, Konstantin V. Quantum Theory of Anharmonic Effects in Molecules. Elsevier, 2012.

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47

Kazakov, Konstantin V. Quantum Theory of Anharmonic Effects in Molecules. Elsevier Science & Technology Books, 2012.

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48

Braginsky, Vladimir Borisovich, V. P. Mitrofanov, and V. I. Panov. Systems With Small Dissipation. Univ of Chicago Pr (Tx), 1986.

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49

Second International Workshop on Harmonic Oscillators: Proceedings of the conference held at Cocoyoc, Morelos, Mexico, March 23-25, 1994. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1995.

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50

Mann, Peter. The Harmonic Oscillator. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0004.

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This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century. These factors ensure that the harmonic oscillator is as relevant to a swinging pendulum as it is to a quantum field. Due to the importance of this model, the chapter investigates its dynamical properties, including the superposition principle in solutions, and construct a probability density function in a single dimension. The chapter also discusses Hooke’s law, modes and the Morse potential. In addition, in an exercise, the chapter introduces series solutions to ordinary differential equations.
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