177(2): Zero’th Force Eigenvalue of the Harmonic Oscillator

Feed: Dr. Myron Evans
Posted on: Wednesday, March 23, 2011 4:27 AM
Author: metric345
Subject: 177(2): Zero’th Force Eigenvalue of the Harmonic Oscillator

The new force equation of quantum mechanics is eq, (1), and the harmonic oscillator gives a zero point force eigenvalue:

F sub 0 = – k x

This is the classical result of Hooke’s law, meaning that the well know zero point energy:

E sub 0 = h bar omega / 2

is accompanied by a hitherto unknown zero point force which happens to have the classical value of Hooke’s law. Eq. (1) is a new fundamental equation of quantum mechanics and can be applied to any problem. I suggest that Horst and I apply it in UFT 177 to the first few wavefunctions of the harmonic oscillator and the first few radial functions of the H atom to make the first exploration of force eigenvalues. Eq. (1) has an unlimited number of applications in quantum mechanics and derivative subject areas of QM such as quantum optics and quantum field theory. My hand calculations of this note can also be checked as usual by computer algebra. The Casimir force originates in F sub 0.

a177thpapernotes2.pdf

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