The improvement wave equations of relativistic and non-relativistic quantum mechanics

Details The improvement wave equations of relativistic and non-relativistic quantum mechanics The improvement wave equations of relativistic and non-relativistic quantum mechanics

2004-09-26

arxiv.org/abs/quant-ph/0409176v1

Physics

Quantum Physics

15 pages

Scientific paper

In this work, we follow the idea of the De Broglie's matter waves and the analogous method that Schr\"{o}dinger founded wave equation, but we apply the more essential Hamilton principle instead of the minimum action principle of Jacobi which was used in setting up Schr\"{o}dinger wave equation. Thus, we obtain a novel non-relativistic wave equation which is different from the Schr\"{o}dinger equation, and relativistic wave equation including free and non-free particle. In addition, we get the spin 1/2 particle wave equation in potential field.

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