波、解析信号和量子理论的一些假设
Waves, analytical signals, and some postulates of quantum theory
摘要：
本文将解析信号理论的形式应用于薛定谔波函数。我们仅利用波粒二象性和相对论协变性原理，导出了单个非相对论粒子的量子能量和动量算符的形式。在不使用任何量子公设的情况下，并采用特征函数的形式，我们还导出了在这种情况下测量概率的量子力学处方。
英文摘要：
In this paper we apply the formalism of the analytical signal theory to the Schrodinger wavefunction. Making use exclusively of the wave-particle duality and the principle of relativistic covariance, we actually derive the form of the quantum energy and momentum operators for a single nonrelativistic particle. Without using any more quantum postulates, and employing the formalism of the characteristic function, we also derive the quantum-mechanical prescription for the measurement probability in such cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
