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Wave equations for determining energy-level gaps of quantum systems

Zeqian Chen
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Abstract

An differential equation for wave functions is proposed, which is equivalent to Schrödinger's wave equation and can be used to determine energy-level gaps of quantum systems. Contrary to Schrödinger's wave equation, this equation is on `bipartite' wave functions. It is shown that those `bipartite' wave functions satisfy all the basic properties of Schrödinger'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.

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Zeqian Chen. 2006-09-10. Wave equations for determining energy-level gaps of quantum systems. https://arxiv.org/abs/quant-ph/0604083

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