- 82

- 0

This is not normalizable, so it's not a physically achievable state.

But a linear combination does (?) I know why it does from the mathematics, a linear combination of plane waves is normalizable, but what does it really mean??? A free particle is associated to MORE than 1 plane wave??

Therefore you create a wavepacket with a spread around a center.... From position to momentum, you switch with Fourier Transform etc etc

I don't really get it.

Why is it not normalizable from a "conceptual" point of view? A free particle has an infinite chance to be found anywhere? Is that the reason? If the free particle solution ( a single plane wave) isn't really meaning something, why does that form always come back (in solid state physics for example)

And how do you construct it in real life, a free particle wavepacket. In textbooks they say: you get a lot of momenta so the uncertainty in momentum becomes greater, hence position gets more defined and vice versa.

How can you give 1 particle more momenta to set its position right, and how can you make the uncertainty in position right to give it the right momentum. (In real life)