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sci.quantum-harmonic-oscillator Calculator
Calculates quantum harmonic oscillator energy levels: E_n = ℏω(n + ½), showing zero-point energy ½ℏω at n=0. Zero-point energy is a purely quantum mechanical effect — it prevents liquid helium from freezing at atmospheric pressure even at absolute zero.
Inputs
Frequency Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Quantum Number N
Count of items or occurrences.
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
energy level E_n (J)
The measured or computed level on the applicable scale.
energy level E_n (eV)
The measured or computed level on the applicable scale.