Probability Density Calculator
Calculate |ψ|² probability density for quantum mechanical wave functions
Results
Wave Function ψ(x)
6.3162e+4
Probability Density |ψ|²
3.9894e+9
Normalization Constant
6.3162e+4
About Probability Density
According to the Born rule, the probability density |ψ(x)|² gives the probability of finding a particle at position x. The wave function must be normalized so that the total probability of finding the particle somewhere equals 1: ∫|ψ|²dx = 1.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
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Formula Source: University Physics
by Young & Freedman
🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.