Heisenberg Uncertainty Principle Equation
Here are brief definitions for the equations associated with the Heisenberg Uncertainty Principle:
Position and Momentum
It states that the product of the uncertainties in position (Δx) and momentum (Δp ) must be greater than or equal to ℏ/2 or h/4π
Δx⋅Δp ≥ ℏ/2
Energy and Time
This ensures that ΔE × The uncertainty in time (∆t) must be greater than or equal to half of the reduced Planck constant.
ΔE⋅Δt ≥ ℏ/2
Position and Velocity
The quantity of Δx and Δv must be larger than or equal to the half value of its reduced Planck constant divided by m.
Δx⋅Δv ≥ ℏ/2m
Heisenberg Uncertainty Principle – Definition, Equation, Significance
Heisenberg Uncertainty Principle is a basic theorem in quantum mechanics. It state that we can not measure position and momentum of a particle both at the same time with the same accuracy. It means that if we try to measure the accurate position of a particle, then at the same time we can’t accurately measure the momentum of the particle. Mathematically, the product of uncertainties in position and momentum is greater than h/4π, where h is Planck’s constant. The principle is named after Werner Heisenberg, who proposed this theory in 1927.
In this article, we will learn in detail about Heisenberg’s Uncertainty Principle, its origin, formula, derivation, and other equations related to it. We will also learn its importance, applications, and other related concepts.