I Are quantum harmonic oscillators and radiation modes equal?

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Are quantum harmonic oscillators, vacuum fluctuations and radiation modes the same?
Is vacuum energy caused by vacuum quantum fluctuations?
 
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No, these are not the same. Quantum harmonic oscillators are systems of particles that vibrate in a regular pattern due to an external force. Vacuum fluctuations are small, quantum fluctuations in fields that occur when the fields are in their lowest energy state (the vacuum). Radiation modes are patterns of electromagnetic radiation, or waves of light, that have specific frequencies and directions. Vacuum energy is related to vacuum fluctuations. It is believed that the energy of the vacuum arises from the quantum fluctuations of matter and fields in space.
 
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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