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Uncertainty Calculator (Heisenberg's Principle)

The Uncertainty Calculator (Heisenberg's Principle) will calculate the:

  1. One of uncertainties among that of particle's position and momentum when the other uncertainty is known
  2. One of uncertainties among that of particle's energy and time interval in which it possesses that energy when the other uncertainty is known

Calculation Parameters: Medium of propagation is assumed as vacuum

Uncertainty Calculator (Heisenberg's Principle)
Uncertainty Calculator (Heisenberg's Principle) Results (detailed calculations and formula below)
The uncertainty of particle's position or momentum when the other uncertainty is known is
The uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known is
Uncertainty of particle's position or momentum when the other uncertainty is known calculation
∆x ∙ ∆p ≈ ℏ
∙ ≈
Uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known calculation
∆E ∙ ∆τ ≈ ℏ
∙ ≈
Uncertainty Calculator Input Values
Reduced Planck Constant (ℏ) J · s [Joule times second]
Uncertainty of particle's position (Δx) m [metre]
Uncertainty of particle's momentum (Δp) kg·m/s [kilogram times metre per second]
Uncertainty of particle's energy (ΔE) J [Joule]
Uncertainty of time interval (Δτ) s [second]
Discover Physics with free Physics Revision Notes and Physics Calculator: Uncertainty. This image shows the properties and uncertainty formula for the Uncertainty. The Uncertainty Calculator (Heisenberg's Principle) will calculate one of uncertainties among that of particle's position and momentum when the other uncertainty is known and the particle's energy and time interval in which it possesses that energy when the other uncertainty is known

Related Physics Chapters with Tutorials

Section 13: Thermodynamics

Section 19: Modern Physics

The uncertainty of particle's position or momentum when the other uncertainty is known Formula and Calculation

∆x ∙ ∆p ≈ ℏ

The uncertainty of particle's energy or time interval in which it possesses this energy when the other uncertainty is known Formula and Calculation

∆E ∙ ∆τ ≈ ℏ

Modern Physics Physics Tutorials associated with the Uncertainty Calculator

The following Physics tutorials are provided within the Modern Physics section of our Free Physics Tutorials. Each Modern Physics tutorial includes detailed Modern Physics formula and example of how to calculate and resolve specific Modern Physics questions and problems. At the end of each Modern Physics tutorial you will find Modern Physics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Modern Physics and test your knowledge of Physics by answering the test questions on Modern Physics.

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