Energy of particle in harmonic oscillator is quantized
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: Potential energy function and first few energy levels for harmonic oscillator. ... However, the energy of the oscillator is limited to certain values. The allowed quantized energy levels are equally spaced and are related to the oscillator frequencies as given by Equation .
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First, the energies are quantized, meaning that only discrete energy values (integer-plus-half multiples of ħω) are possible; this is a general feature of quantum-mechanical systems when a particle is confined.
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