Editing Quantum superposition (section)

== Transformation ==
The quantum wave equation can be solved using functions of position, <math>\Psi(\vec{r})</math>, or using functions of momentum, <math>\Phi(\vec{p})</math> and consequently the superposition of momentum functions are also solutions:
<math display="block">\Phi(\vec{p}) = d_1\Phi_1(\vec{p}) + d_2\Phi_2(\vec{p})</math>
The position and momentum solutions are related by a [[linear transformation]], a [[Fourier transformation]].  This transformation is itself a quantum superposition and every position wave function can be represented as a superposition of momentum wave functions and vice versa. These superpositions involve an infinite number of component waves.<ref name=Messiah/>{{rp|244}}