Wave equations for determining energy-level gaps of quantum systems
Quantum Physics
2007-05-23 v3
Abstract
An differential equation for wave functions is proposed, which is equivalent to Schr\"{o}dinger's wave equation and can be used to determine energy-level gaps of quantum systems. Contrary to Schr\"{o}dinger's wave equation, this equation is on `bipartite' wave functions. It is shown that those `bipartite' wave functions satisfy all the basic properties of Schr\"{o}dinger's wave functions. Further, it is argued that `bipartite' wave functions can present a mathematical expression of wave-particle duality. This provides an alternative approach to the mathematical formalism of quantum mechanics.
Keywords
Cite
@article{arxiv.quant-ph/0604083,
title = {Wave equations for determining energy-level gaps of quantum systems},
author = {Zeqian Chen},
journal= {arXiv preprint arXiv:quant-ph/0604083},
year = {2007}
}
Comments
3 pages