Waves, analytical signals, and some postulates of quantum theory

Details Waves, analytical signals, and some postulates of quantum theory Waves, analytical signals, and some postulates of quantum theory

2007-09-12

arxiv.org/abs/0709.1882v3

Physics

Quantum Physics

Scientific paper

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.

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