Question

What does Heisenberg's uncertainty principle imply about the behavior of an electron?

Answer 1

1. According to Heisenberg's Uncertainty principle, the exact momentum and position of an electron cannot be determined simultaneously.
2. The mathematical expression for the Heisenberg Uncertainty principle is, $∆\mathrm{x}\times ∆\mathrm{p}\ge \frac{\mathrm{h}}{2\mathrm{\pi }}$
3. Here, $∆x$ is the uncertainty of position, $∆p$ is the change in momentum and h is Planck's constant.
4. The energy time relation for uncertainty is the measurement of the quantum state energy and its lifetime.
5. $∆\mathrm{E}\times ∆\mathrm{t}=\frac{\mathrm{h}}{2}$, where $∆\mathrm{E}$ is the uncertainty in the energy measurement and $\mathrm{\Delta }t$ is the uncertainty in the lifetime measurement.