Heisenberg Uncertainty Calculator — Formula
## Heisenberg Uncertainty Principle
The uncertainty principle states a fundamental limit on the precision with which position and momentum can be known simultaneously.
### Formula
**dx * dp >= hbar / 2**
where hbar = h / (2 pi) = 1.0546 x 10^-34 J s.
Given dp, the minimum dx is hbar / (2 dp). This is not a measurement limitation but a fundamental property of nature.
The uncertainty principle states a fundamental limit on the precision with which position and momentum can be known simultaneously.
### Formula
**dx * dp >= hbar / 2**
where hbar = h / (2 pi) = 1.0546 x 10^-34 J s.
Given dp, the minimum dx is hbar / (2 dp). This is not a measurement limitation but a fundamental property of nature.
Esempio Risolto
An electron with dp = 1e-25 kg m/s.
- dx_min = hbar / (2 dp)
- dx_min = 1.0546e-34 / (2 * 1e-25)
- dx_min = 1.0546e-34 / 2e-25
- dx_min = 5.273e-10 m = 0.527 nm