Physics – Quantum Physics
Scientific paper
2010-05-16
Physics
Quantum Physics
28 pages, no figures. Withdrawn: Most of this is contained in the extended (N-particle) paper "A statistical derivation of non
Scientific paper
A previous one-dimensional derivation of Schr\"odinger's equation from statistical assumptions is generalized to three spatial dimensions, gauge fields, and spin. It is found that the same statistical assumptions that imply Schr\"odinger's equation determine also the form of the gauge coupling terms, and the form of the corresponding local (Lorentz) forces. An explanation for the role of the electrodynamic potentials, as statistical representatives of the Lorentz force, is given. Spin one-half is introduced as the property of a statistical ensemble to respond to an external gauge field in two different ways. A generalized calculation, using the twofold number of variables, leads to Pauli's equation. The new spin term is again the statistical representative of the corresponding local force. The classical limit $\hbar \to 0$ of Schr\"odinger's equation and closely related questions of interpretation of the quantum mechanical formalism are discussed.
No associations
LandOfFree
The statistical origins of gauge coupling and spin does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The statistical origins of gauge coupling and spin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The statistical origins of gauge coupling and spin will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-672136