Wave equations for determining energy-level gaps of quantum systems

Details Wave equations for determining energy-level gaps of quantum systems Wave equations for determining energy-level gaps of quantum systems

2006-04-12

arxiv.org/abs/quant-ph/0604083v3

Physics

Quantum Physics

3 pages

Scientific paper

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.

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