We propose a time-fractional extension of the Schrödinger equation that keeps the main mechanical and quantum properties of the classical Schrödinger equation. This extension is shown to be equivalent to another well identified time first-order PDE with fractional Hamiltonian.

中文翻译：

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时间分数薛定ding方程

我们提出了Schrödinger方程的时间分数扩展，它保留了经典Schrödinger方程的主要力学和量子性质。该扩展与等效的分数阶哈密顿时间一阶PDE等效。