$ \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\abs}[2][]{\left\lvert#2\right\rvert_{\text{#1}}} \newcommand{\ket}[1]{\left\lvert#1 \right.\rangle} \newcommand{\bra}[1]{\langle\left. #1\right\rvert} \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\dd}{\text{d}} \newcommand{\dv}[2]{\frac{\dd #1}{\dd #2}} \newcommand{\pdv}[2]{\frac{\partial}{\partial #1}} $
FullPage
overview
significance
derivation
related experiments
associated concepts
The uncertainty principle says that for two operators $A$ and $B$, we have $$\begin{align*} \Delta A\cdot \Delta B \geq \frac{1}{2}|\langle[A, B]\rangle | \end{align*}$$

Significance

If two operators don't commute, both values cannot be known with absolte certainty. Notice that it only tells you the product of the uncertainty, and not the minimum uncertainty of the fluctation of one operator. This means we can get a small uncertainty in one measurement that results in the large uncertainty for the other.

Derivation

Coming soon

Associated Concepts

Coming soon
The uncertainty principle says that for two operators $A$ and $B$, we have $$\begin{align*} \Delta A\cdot \Delta B \geq \frac{1}{2}|\langle[A, B]\rangle | \end{align*}$$

Significance

If two operators don't commute, both values cannot be known with absolte certainty. Notice that it only tells you the product of the uncertainty, and not the minimum uncertainty of the fluctation of one operator. This means we can get a small uncertainty in one measurement that results in the large uncertainty for the other.

Derivation

Coming soon

Associated Concepts

Coming soon
FullPage
overview
significance
derivation
related experiments
associated concepts
FullPage
overview
significance
derivation
related experiments
associated concepts
The uncertainty principle says that for two operators $A$ and $B$, we have $$\begin{align*} \Delta A\cdot \Delta B \geq \frac{1}{2}|\langle[A, B]\rangle | \end{align*}$$

Significance

If two operators don't commute, both values cannot be known with absolte certainty. Notice that it only tells you the product of the uncertainty, and not the minimum uncertainty of the fluctation of one operator. This means we can get a small uncertainty in one measurement that results in the large uncertainty for the other.

Derivation

Coming soon

Associated Concepts

Coming soon
The uncertainty principle says that for two operators $A$ and $B$, we have $$\begin{align*} \Delta A\cdot \Delta B \geq \frac{1}{2}|\langle[A, B]\rangle | \end{align*}$$

Significance

If two operators don't commute, both values cannot be known with absolte certainty. Notice that it only tells you the product of the uncertainty, and not the minimum uncertainty of the fluctation of one operator. This means we can get a small uncertainty in one measurement that results in the large uncertainty for the other.

Derivation

Coming soon

Associated Concepts

Coming soon
FullPage
overview
significance
derivation
related experiments
associated concepts