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Introduction to Classical and Quantum Harmonic Oscillators.
From conch shells to lasers . harmonic oscillators, the timeless scientific phenomenon As intriguing to Galileo as they are to scientists today, harmonic oscillators have provided a simple and compelling paradigm for understanding the complexities that underlie some of nature's and mankind'...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken :
Wiley,
2013.
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| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half Title page; Title page; Copyright page; Dedication; Preface; Chapter 1: Classical Perspective; 1.1 Importance of the Harmonic Oscillator; 1.2 Newtonian Perspective; 1.3 Restoring Force; 1.4 Free Harmonic Oscillator; 1.5 LC Resonator; 1.6 Journey Through the Center of the Earth; 1.7 Low Satellite Orbit; 1.8 FREE-OSC, Free Oscillator Worksheet; 1.9 Phase Space, Part 1; 1.10 PHASE-SP, Phase Space Worksheet; 1.11 Callisto, Galileo, and French; 1.12 Searching for Planets; 1.13 Franklin, Priestly, Verne, and Burroughs; What's Next?; Chapter 2: Oscillator Energy; 2.1 Conservative Forces.
- 2.2 Potential Energy2.3 Kinetic Energy; 2.4 Conservation of Energy; 2.5 Phase Space, Part 2; 2.6 Energy Diagrams; 2.7 Equipartition of Energy; 2.8 General Potential Energy Function; 2.9 Perturbed Satellite Orbit; 2.10 High Power-Law Oscillators; 2.11 Adiabatic Invariance; 2.12 UNDAMPED, Free Oscillator Energy Worksheet; 2.13 Bungee Jumpers Beware; 2.14 Summary; Chapter 3: Damped Oscillators; 3.1 Velocity-Dependent Resistive Force; 3.2 FORCE-RV, Resistive Force Worksheet; 3.3 Restoring Force and Resistive Force; 3.4 Under-Damped Oscillator; 3.5 Critically Damped Oscillator.
- 3.6 Over-Damped Oscillator3.7 Summary of Free, Damped Oscillators; What's Next?; Chapter 4: Forced Oscillators; 4.1 Forced Free Mass; 4.2 Forced Damped Mass; 4.3 General Solution for Forced Damped Mass; 4.4 Power Transfer; 4.5 Forced Damped Oscillator; 4.6 Permittivity for Bound Charges; 4.7 FORCEOSC, Forced Oscillator Worksheet; 4.8 Summary; What's Next?; Chapter 5: Q, R, X, Y, and Z; 5.1 What Is Q?; 5.2 Frequency Domain; 5.3 Time Domain; 5.4 Q of Various Oscillators; 5.6 Resonant Detection, Mössbauer Effect; 5.7 Q Multipliers and Dividers; 5.8 Q Switches.
- 5.9 Classical Uncertainty Principle, Part 15.10 ABC-OF-Q, Worksheet in Time and Frequency; 5.11 Impedance and Admittance; 5.12 Impedance and Admittance: Damped Mass; 5.13 Impedance and Admittance: Harmonic Oscillator; 5.14 Y-AND-Z, Admittance and Impedance Worksheet; 5.15 How Henry Cavendish Weighed Planet Earth; What's Next?; Chapter 6: Fourier Perspective; 6.1 Signal Classification; 6.2 Periodic Signals; 6.3 Oscillator with Periodic Force; 6.4 Bandwidth and Spectral Density; 6.5 Laplace's Equation; 6.6 Non-Periodic Signals; 6.7 Classical Uncertainty Principle, Part 2.
- 6.8 Alternative Formats6.9 Laplace Transform; 6.10 Hilbert Transform; 6.11 Parseval's Theorem; 6.12 Joint Time-Frequency Analysis; 6.13 Inductive Leap; What's Next?; Chapter 7: Elements of Linear Systems; 7.1 What Is a Linear System?; 7.2 Ode to the Sinusoid; 7.3 Fast Fourier Transform; 7.4 Test Signals; 7.5 Step Function Response; 7.6 Impulse Response; 7.7 Frequency Domain Response Using Phasors; 7.8 Impulse Response and Causality; 7.9 System Function via Fourier Transform; 7.10 Impulse Response via Fourier Transform; 7.11 Convolution; 7.12 Power Spectral Density.