What's the Difference Between Quantum and Simple Harmonic Oscillators?

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SUMMARY

The discussion clarifies the distinction between quantum harmonic oscillators and classical simple harmonic oscillators. In quantum mechanics (QM), the motion of a particle in a quantum harmonic oscillator is described by probability distributions rather than definitive paths, similar to the behavior of electrons in hydrogen atoms. The interpretations of QM, including Copenhagen, Bohmian, and many-worlds, all yield the same observable predictions, making it impossible to experimentally differentiate between them at this time. The conversation highlights the philosophical debates surrounding these interpretations rather than providing concrete answers about the nature of particle motion.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with harmonic oscillators in classical physics
  • Knowledge of probability distributions in quantum systems
  • Awareness of different interpretations of quantum mechanics
NEXT STEPS
  • Explore the Copenhagen interpretation of quantum mechanics
  • Study the mathematical framework of quantum harmonic oscillators
  • Research the implications of the many-worlds interpretation
  • Learn about the role of probability in quantum measurements
USEFUL FOR

Students of physics, quantum mechanics enthusiasts, and researchers interested in the philosophical implications of quantum theory will benefit from this discussion.

Thierry12
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Can someone tell me if there is a difference in the moving motion between a quantum harmonic oscillator and a simple harmoic oscillator. Also, does anoyone know a good site where i could learn more on quantum harmonic oscillator.

ty
 
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If you mean, how does the particle "actually move" in a quantum harmonic oscillator, the answer is the same as for an electron in a hydrogen atom, etc. QM gives us the probabilities for finding the particle at various locations (or the values of other physical quantities such as energy, momentum, etc.) when we observe/measure it, but it does not tell us what it is "actually doing" before we observe/measure it.

This is the subject of interpretations of QM (Copenhagen, Bohmian, many-worlds, etc.). They all make (so far) the same predictions for the probabilities that we can actually observe/measure, so there is no way (as yet) to distinguish between them experimentally. People argue endlessly about which interpretation is best, based mainly on personal philosophical and metaphysical preferences, on this forum and elsewhere.
 
ty !
 

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