确定量子系统能级隙的波动方程
Wave equations for determining energy-level gaps of quantum systems
摘要：
提出了一个与薛定谔波动方程等价的波函数微分方程，可用于确定量子系统的能级隙。与薛定谔的波动方程相反，这个方程是关于“二分”波函数的。结果表明，这些“二分”波函数满足薛定谔波函数的所有基本性质。此外，有人认为，“二分”波函数可以提出一个数学表达式的波粒二象性。这为量子力学的数学形式提供了另一种方法。
英文摘要：
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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