Eigenvalues of the quantum harmonic oscillator

What are the possible energy eigenvalues of the quantum harmonic oscillator?
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📚 The harmonic oscillator is an iconic potential in both classical and quantum mechanics. In quantum mechanics, the energy is quantized: the eigenvalues can only take some special values. In this video, we derive the possible energy eigenvalues using an elegant approach first proposed by Paul Dirac that exploits the properties of the ladder operators.
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⏮️ BACKGROUND
Harmonic oscillator: • The quantum harmonic o...
Ladder operators: • Ladder and number oper...
⏭️ WHAT NEXT?
Eigenstates of the quantum harmonic oscillator: • Eigenstates of the qua...
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Director and writer: BM
Producer and designer: MC