Simple harmonic potentials & classical waves

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SUMMARY

Classical waves do not experience simple harmonic oscillator potentials in the same manner as a mass on a spring. The discussion highlights that while waves can interact with various surfaces, such as a parabolic dish, this interaction does not equate to experiencing a simple harmonic potential. The consensus is that no clear scenario exists where classical waves are subjected to such potentials, reinforcing the distinction between wave behavior and harmonic oscillation.

PREREQUISITES
  • Understanding of classical wave theory
  • Familiarity with simple harmonic motion concepts
  • Knowledge of potential energy in physics
  • Basic principles of wave interactions with surfaces
NEXT STEPS
  • Research the mathematical description of classical waves
  • Explore the principles of simple harmonic motion in depth
  • Investigate potential energy surfaces in wave mechanics
  • Examine case studies of wave interactions with different geometries
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Physics students, educators, and researchers interested in the relationship between classical waves and harmonic oscillators.

gildomar
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Homework Statement



It's not a direct question, but it's an implied part of a larger question: can classical waves experience simple harmonic oscillator potentials, like a mass on a spring does?

Homework Equations





The Attempt at a Solution



I'm thinking no, since I can't come up with a scenario where classical waves would experience such a potential. The closest that I got the waves interacting with a parabolic dish, but I wouldn't really consider that an oscillator potential.
 
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I can't think of one either.
 

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