Plane Waves in Fourier Series of Wavefunction as Quasiparticles with Action-Reaction?
| Main Author: | Francesco R. Ruggeri |
|---|---|
| Format: | info publication-preprint Journal |
| Terbitan: |
, 2019
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/2549976 |
Daftar Isi:
- A quantum wavefunction can be written as a Fourier series and it is believed the exp(ikx) components represent actual plane wave solutions with different weights. It has been argued in previous notes, that a bound state is a resonance of these plane waves which carry different weight fk. The system cycles through the different states with a frequency E as described by exp(iEt). It was also argued that P(x intersection p) equals W(x) fp sin(px) where W(x) is the wavefunction and sin(px) is a combination of a forward and backward plane wave. It was argued that sin(px) physically models the motion of a particle with zitterbwegung and is present even in the absence of a potential. It was also noted that W(x) fp sin(px) described the motion of one of these plane waves in space. Summing over the various p values leads to W(x)W(x) or the physical density. In classical physics, a particle has a velocity and potential energy at x1 and different values at x2 in accordance with energy conservation or Newton ́s law. The objective of this note is to examine how Newton ́s law is present in the motion of plane wave W(x) fp sin(px) in a bound quantum state.