- #1
Ibraheem
- 51
- 2
If I have a general (not a plain wave) state $$|\psi\rangle$$, then in position space :
$$\langle \psi|\psi\rangle = \int^{\infty}_{-\infty}\psi^*(x)\psi(x)dx$$
is the total probability (total absolute, assuming the wave function is normalized)
So if the above is correct, does that mean
$$\langle x|x' \rangle= \delta(x-x')$$
is also the total probability ?
if that is the case, then the total probability is infinite! is that why plane waves are called unphysical? or is there more to it ?
$$\langle \psi|\psi\rangle = \int^{\infty}_{-\infty}\psi^*(x)\psi(x)dx$$
is the total probability (total absolute, assuming the wave function is normalized)
So if the above is correct, does that mean
$$\langle x|x' \rangle= \delta(x-x')$$
is also the total probability ?
if that is the case, then the total probability is infinite! is that why plane waves are called unphysical? or is there more to it ?
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