quod erat demonstrandum
originating from the greek -n-logous hóper édei deîxai (ὅπερ ἔδει δεῖξαι), meaning “which had to be demonstrated”. the phrase is traditionally placed in its abbreviated form (q.e.d.) at the end of a mathematical proof or philosophical argument. phrase synonymous with “quite easily done.”
∫|ψ(x, t)|² dx (from -infinity to infinity)= e^(2γt/ħ) ∫|ψ|²dx(from -infinity to infinity)
the second term is independant of t, therefore γ=0 & ∫|ψ(x, t)|² dx (from -infinity to infinity)=∫|ψ|²dx(from -infinity to infinity)=1 {normalized}
q.e.d. “quod erat demonstrandum”
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