Heisenberg Uncertainty Principle Calculator

This calculator helps you explore the fundamental principle of quantum mechanics that limits the precision with which certain pairs of physical properties, like position and momentum, can be known simultaneously.

Calculator

Results

Uncertainty (Δx·Δp) ≥ h/4π: N/A

Data Source and Methodology

Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da fonti autorevoli nel campo della fisica quantistica. Per ulteriori informazioni, consultare Wikipedia.

The Formula Explained

\(\Delta x \cdot \Delta p \geq \frac{h}{4\pi}\)

Glossary of Variables

How It Works: A Step-by-Step Example

Imagine you measure the position of a particle with an uncertainty of 0.0001 meters. If the momentum uncertainty is 1.0 kg·m/s, the product of these uncertainties should be compared to \(h/4\pi\) to verify the principle.

Frequently Asked Questions (FAQ)

What is the Heisenberg Uncertainty Principle?

It's a fundamental theory in quantum mechanics stating that it's impossible to simultaneously know the exact position and momentum of a particle.

Why is this principle important?

It highlights the intrinsic limits of precision in measurement, underlining the probabilistic nature of quantum mechanics.

Can we ever know both position and momentum precisely?

No, increasing the precision in measuring one reduces the precision in measuring the other.

Who discovered this principle?

Werner Heisenberg, a German physicist, formulated this principle in 1927.

What is Planck's constant?

It is a physical constant reflecting the quantization of energy levels, essential in the field of quantum mechanics.

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