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I'm working on problems related to the inhomogeneous Klein–Gordon equation ($[\partial_t^2 - \nabla^2 + m^2]\phi(t,\mathbf{x}) = F(t,\mathbf{x})$), and I started to consider how general I could make the boundary conditions. For elliptic differential equations I know that you can have Dirichlet ($...
The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It is second-order in space and time and manifestly Lorentz-covariant. It is a quantized version of the relativistic energy–momentum relation (
E
2
=
(
p
c
)
2
+
(
m...
