The Harmonic oscillator

The Harmonic oscillator - the particle moves a distance...

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The Harmonic oscillator You may be familiar with several examples of harmonic oscillators form classical mechanics, such as particles on a spring or the pendulum for small deviation from equilibrium, etc. Figure 7.1: The mass on the spring and its equilibrium position Let me look at the characteristics of one such example, a particle of mass on a spring. When
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Unformatted text preview: the particle moves a distance away from the equilibrium position , there will be a restoring force pushing the particle back ( right of equilibrium, and on the left). This can be derived from a potential (7.1) Actually we shall write . The equation of motion (7.2) has the solution (7.3) We now consider how this system behaves quantum-mechanically....
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