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

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 !
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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