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Calcimator

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 kgΒ·m/s
Energy0 J
Phase Velocity3,637,198 m/s
How to Use This Calculator
  1. Enter Amplitude of the wave function β€” higher amplitude increases probability density at that location.
  2. Enter Wavelength (m) β€” the de Broglie wavelength; smaller wavelength means higher momentum.
  3. Enter Position (m) β€” the spatial point where you want to evaluate the wave function.
  4. Enter Time (s) to see how the wavefunction evolves; at t = 0 you get the initial state.
  5. Read Probability Density |ψ|Β² β€” the measurable probability of finding the particle at that position, plus Momentum and Energy from the de Broglie relations.
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Formula

ψ(x,t) = A Γ— e^(i(kx - Ο‰t))

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