From dc3498fd50121eadbdd3ddac5bf950a16e2b50cb Mon Sep 17 00:00:00 2001 From: Prefetch Date: Thu, 18 Nov 2021 20:07:12 +0100 Subject: Expand knowledge base --- content/know/concept/imaginary-time/index.pdc | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'content/know/concept/imaginary-time') diff --git a/content/know/concept/imaginary-time/index.pdc b/content/know/concept/imaginary-time/index.pdc index 68e4e02..55f163a 100644 --- a/content/know/concept/imaginary-time/index.pdc +++ b/content/know/concept/imaginary-time/index.pdc @@ -25,8 +25,8 @@ $$\begin{aligned} &= \frac{1}{Z} \Tr\!\Big( \exp\!(-\beta \hat{H}_{0,S}(t)) \: \hat{A}_H(t) \: \hat{B}_H(t') \Big) \end{aligned}$$ -Where the Hamiltonian $\hat{H}_{0,S}$ is time-independent. -Suppose a time-dependent $\hat{H}_{1,S}$ is added, +Where the "simple" Hamiltonian $\hat{H}_{0,S}$ is time-independent. +Suppose a (maybe time-dependent) "difficult" $\hat{H}_{1,S}$ is added, so that the total Hamiltonian is $\hat{H}_S = \hat{H}_{0,S} + \hat{H}_{1,S}$. Then it is easier to consider the expectation value in the [interaction picture](/know/concept/interaction-picture/): -- cgit v1.2.3