Wave Function Calculator

Analyze plane wave functions and their quantum mechanical properties

Amplitude A

Wave Number k (m⁻¹)

Angular Frequency ω (rad/s)

Position x (m)

Time t (s)

Initial Phase φ (rad)

Wave Function Results

Real Part Re(ψ)

5.4030e-1

Imaginary Part Im(ψ)

8.4147e-1

Magnitude |ψ|

1.0000e+0

Probability Density |ψ|²

1.0000e+0

Wavelength λ

6.2832e-10 m

Frequency f

1.5915e+14 Hz

Period T

6.2832e-15 s

Phase Velocity

1.0000e+5 m/s

About Wave Functions

A plane wave function has the form ψ(x,t) = Ae^(i(kx - ωt + φ)). The wave function is a complex-valued function that completely describes the quantum state of a particle. The probability of finding the particle at position x is given by |ψ|², the probability density.