Modern Physics

Energy-Time Uncertainty

ΔEΔt2\Delta E \cdot \Delta t \geq \frac{\hbar}{2}

Energy and time cannot both be precisely determined. Related to spectral line widths.

Variables

\Delta E
Energy uncertainty
J
\Delta t
Time uncertainty
s
\hbar
Reduced Planck constant
J·s

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Common questions

What is the Energy-Time Uncertainty formula?

Energy-Time Uncertainty is written ΔE ·Δt ≥ℏ/2. Energy and time cannot both be precisely determined. Related to spectral line widths. It belongs to Modern Physics, under Quantum Mechanics.

What are the units in ΔE ·Δt ≥ℏ/2?

In SI units, \Delta E is energy uncertainty, measured in J; \Delta t is time uncertainty, measured in s; \hbar is reduced planck constant, measured in J·s.