Complex spin and anti-spin dynamics: A generalization of de Broglie–Bohm theory to complex space

Ciann-Dong Yang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 317-333

Abstract: To be consistent with the complex spacetime formulation of the E(∞) 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 ℏ/2 anti-parallel to each other.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077908000027
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:317-333

DOI: 10.1016/j.chaos.2008.01.016

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().