Probability Amplitude Calculator
Calculate quantum probability amplitudes, Born rule probabilities, phase angles, and normalization.
Inputs
Results
Probability |α|²
1
Magnitude |α|
1
Phase Angle
53.13°
Normalized Re0.6
Normalized Im0.8
Inner Product ⟨α|α⟩1
Probability |α|²
1
Magnitude |α|
1
Phase Angle
53.13°
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.
- Real Part (Re) — Real component of the amplitude Accepts values from -10 to 10 (default: 0.6).
- Imaginary Part (Im) — Imaginary component of the amplitude Accepts values from -10 to 10 (default: 0.8).
- Once all inputs are set, review your results in the Results panel. Here's what each output means:
- Probability |α|² — shown as a numeric value. This is the primary result of this calculator.
- Magnitude |α| — shown as a numeric value. This is the primary result of this calculator.
- Phase Angle — shown as a numeric value. This is the primary result of this calculator.
- Normalized Re — shown as a numeric value.
- Normalized Im — shown as a numeric value.
- Inner Product ⟨α|α⟩ — 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
P = |α|² = Re² + Im²Related Calculators
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