Wave Function Calculator
Calculate quantum wave function properties including probability density, momentum, energy, and phase/group velocities.
Inputs
m
m
s
Results
Probability Density |ψ|²
1
Real Part
1
Imaginary Part
0
Momentum0 kg·m/s
Energy0 J
Phase Velocity3,637,198 m/s
Probability Density |ψ|²
1
Real Part
1
Imaginary Part
0
How to Use This Calculator
- 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.
- Amplitude — Wave function amplitude Accepts values from 0 to 10 (default: 1).
- Wavelength — De Broglie wavelength Accepts values from 1e-15 m to 0.00001 m (default: 1e-10 m).
- Position — Position in space Accepts values from -1e-8 m to 1e-8 m (default: 0 m).
- Time — Time parameter Accepts values from 0 s to 1e-10 s (default: 0 s).
- Once all inputs are set, review your results in the Results panel. Here's what each output means:
- Probability Density |ψ|² — shown as a numeric value. This is the primary result of this calculator.
- Real Part — shown as a numeric value. This is the primary result of this calculator.
- Imaginary Part — shown as a numeric value. This is the primary result of this calculator.
- Momentum — shown as a numeric value.
- Energy — shown as a numeric value.
- Phase Velocity — shown as a numeric value.
- 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
ψ(x,t) = A × e^(i(kx - ωt))Related Calculators
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