Microscopic Aspects of Force in Quantum Mechanics
| Main Author: | Francesco R. Ruggeri |
|---|---|
| Format: | info publication-preprint Journal |
| Terbitan: |
, 2019
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/3539541 |
Daftar Isi:
- In a previous note (1), it was shown that by taking the derivative of the time-independent Schrodinger equation in the form: -1/2m (d/dx d/dx W /W) + V(r)=E yields an equation linking various fluxes to–d/dx V i.e. force. In other notes, it was shown the time-independent Schrodinger equation may be written microscopically for each p momentum plane wave as: p2/2m f(p) + Sum j+k=p Vj f(k) = E f(p) ((1)) Here, the same E (energy) applies to all p momentum waves. Thus, it is as if there is a dynamical resonance for each p wave, with various k momentum waves combining with the potential (Vj= the jth Fourier transform of V(r)) to form a p momentum wave. In this note, we wish to examine force microscopically in terms of ((1)) and also to consider the effects of noninertial frames or constrained motion on microscopic force.