Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1890354 | Chaos, Solitons & Fractals | 2009 | 17 Pages |
Abstract
To be consistent with the complex spacetime formulation of the E(â) theory, we generalize the de Broglie-Bohm (dBB) theory to a complex domain and show that the complex-extended dBB trajectories solved from the plain Schrödinger equation without any relativistic correction unambiguously demonstrate the existence of spin-1/2 dynamics in the ground-state hydrogen atom. It is the first time in the literature to reveal that to each spin solution to the Schrödinger equation, there is an accompanying anti-spin solution such that the spin and anti-spin solutions constitute a complete solution to the Schrödinger equation. The complex equations of motion indicate that the electrons in the spin and anti-spin solutions have equal angular momentum â/2 anti-parallel to each other.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Ciann-Dong Yang,