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Results tagged with linear-systems
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user 232973
A linear system is a mathematical model of a system based on the use of a linear operator. A system is linear if and only if it satisfies the superposition principle, or equivalently both the additivity and homogeneity properties, without restrictions.
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In classical physics (classical electrodynamics), why linearity of Maxwell's equations preve...
Linearity implies the superposition principle. The superposition principle means that if $\psi_1(x,t)$ is a solution to the (vacuum) wave equation, and $\psi_2(x,t)$ is also another solution to the sa …
- 7,554
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vote
Dirac equation on a superposition
Disproval by counterexample: construct functions $\psi_1$ and $\psi_2$ that have the following property
$$(i\gamma^\mu\partial_\mu - m)\psi_1=\psi_3$$
$$(i\gamma^\mu\partial_\mu - m)\psi_2=-\psi_3$$
w …
- 7,554