diff options
Diffstat (limited to 'content/know/concept/path-integral-formulation/index.pdc')
| -rw-r--r-- | content/know/concept/path-integral-formulation/index.pdc | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/content/know/concept/path-integral-formulation/index.pdc b/content/know/concept/path-integral-formulation/index.pdc index c66aed8..1698e27 100644 --- a/content/know/concept/path-integral-formulation/index.pdc +++ b/content/know/concept/path-integral-formulation/index.pdc @@ -27,7 +27,7 @@ to the destination $x_N$ at time $t_N$: $$\begin{aligned} \boxed{ K(x_N, t_N; x_0, t_0) - = A \sum_{\mathrm{all}\:x(t)} \exp(i S[x] / \hbar) + = A \sum_{\mathrm{all}\:x(t)} \exp\!(i S[x] / \hbar) } \end{aligned}$$ @@ -156,7 +156,7 @@ The definition of the propagator $K$ is then further reduced to the following: $$\begin{aligned} K = \Big( \frac{- i m}{2 \pi \hbar \Delta t} \Big)^{\!N / 2} - \idotsint \exp(i S[x] / \hbar) \dd{x_1} \cdots \dd{x_{N-1}} + \idotsint \exp\!(i S[x] / \hbar) \dd{x_1} \cdots \dd{x_{N-1}} \end{aligned}$$ Finally, for the purpose of normalization, @@ -173,8 +173,8 @@ which sums over all possible paths $x(t)$: $$\begin{aligned} K - = \int \exp(i S[x] / \hbar) \:D[x] - = A \sum_{\mathrm{all}\:x(t)} \exp(i S[x] / \hbar) + = \int \exp\!(i S[x] / \hbar) \:D[x] + = A \sum_{\mathrm{all}\:x(t)} \exp\!(i S[x] / \hbar) \end{aligned}$$ |