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Calcimator

Schrodinger Equation Calculator

Calculate energy eigenvalues, wave functions, and quantum states for infinite wells and harmonic oscillators.

Inputs

m
kg

Results

Energy (Eₙ)

37.61 eV

Energy to Next Level

112.83 eV

Wavelength (λₙ)

0 m

Momentum (pₙ)0 kg·m/s
Transition Frequency27,280,000,000,000,000 Hz
Number of Nodes0

Energy (Eₙ)

37.61 eV

Energy to Next Level

112.83 eV

Wavelength (λₙ)

0 m

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Quantum Number (n) — Principal quantum number Accepts values from 1 to 100 (default: 1).
  3. Potential Type — Type of confining potential Choose from: Infinite Square Well, Harmonic Oscillator. default: 0.
  4. Well Width / Char. Length — Width of well or characteristic length Accepts values from 1e-12 m to 0.000001 m (default: 1e-10 m).
  5. Particle Mass — Mass of the particle (default: electron) Accepts values from 1e-31 kg to 1e-20 kg (default: 9.109e-31 kg).
  6. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  7. Energy (Eₙ) — shown as a numeric value. This is the primary result of this calculator.
  8. Energy to Next Level — shown as a numeric value. This is the primary result of this calculator.
  9. Wavelength (λₙ) — shown as a numeric value. This is the primary result of this calculator.
  10. Momentum (pₙ) — shown as a numeric value.
  11. Transition Frequency — shown as a numeric value.
  12. Number of Nodes — shown as a numeric value.
  13. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

Eₙ = n²π²ℏ² / (2mL²)

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