diff options
Diffstat (limited to 'latex/know/concept/probability-current')
| -rw-r--r-- | latex/know/concept/probability-current/source.md | 13 |
1 files changed, 8 insertions, 5 deletions
diff --git a/latex/know/concept/probability-current/source.md b/latex/know/concept/probability-current/source.md index 69faf0c..bffc599 100644 --- a/latex/know/concept/probability-current/source.md +++ b/latex/know/concept/probability-current/source.md @@ -1,9 +1,12 @@ +% Probability current + + # Probability current -In quantum mechanics, the *probability current* expresses the movement -of the probability of finding a particle. Or in other words, it treats -the particle as a heterogeneous fluid with density $|\psi|^2$. Now, the -probability of finding the particle within a volume $V$ is given by: +In quantum mechanics, the *probability current* describes the movement +of the probability of finding a particle at given point in space. +In other words, it treats the particle as a heterogeneous fluid with density $|\psi|^2$. +Now, the probability of finding the particle within a volume $V$ is: $$\begin{aligned} P = \int_{V} | \psi |^2 \dd[3]{\vec{r}} @@ -66,7 +69,7 @@ $$\begin{aligned} } \end{aligned}$$ -This states that probability is conserved, and is reminiscent of charge +This states that the total probability is conserved, and is reminiscent of charge conservation in electromagnetism. In other words, the probability at a point can only change by letting it "flow" towards or away from it. Thus $\vec{J}$ represents the flow of probability, which is analogous to the |