Expansion of phi
WebJun 21, 2024 · It also satisfies the Laplace equation $\partial \phi^2/\partial z^2 + \partial \phi^2/\partial r^2 + (1/r)\partial \phi/\ Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. WebJan 13, 2024 · The mode expansion for $\phi_S$ is: $$ \phi_S(\vec{x})=\int\frac{d^3 k}{(2\pi)^3}\frac1{\sqrt{2\omega_k}}\left(a(\vec{k})e^{i\vec{k}\cdot\vec{x}}+a^\dagger(\vec{k})e^{-i\vec{k}\cdot\vec{x}}\right) $$ and consequently, $\phi_I$ is (note carefully the four-vector notation, in contrast to the previous equation) $$ \phi_I(x)=\int\frac{d^3 k}{(2\pi ...
Expansion of phi
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