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A new discrete model of quantum mechanics 
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#1
Nov406, 03:24 PM

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Abstract:
I present a new discrete model of quantum mechanics, in which particle movement is described by a directed spacetime graph with attached 4spinors, but without any continuous wave functions. These graphs only consist of few spacelike edges, for bounded states the number is in the order of the quantum numbers and interactions only take place at the nodes. The fundament is an extremal principle for a ``LAGRANGian sum'', from which both ``fieldequations'' and ``equations of motion'' are derived, so the states (including the grid points) are completely determined. As important demonstrations of the theory, the DIRACequation for the atom (spectra, SOMMERFELDlevels) is solved and the correct equations of a moving particle under LORENTZforce are derived. I hope, that this new approach will help to overcome some problems of quantum mechanics. The complete paper can be found on my webpage http://icgem.gfzpotsdam.de/wolfk/QM/Main.html In case of problems reading this page, please let me know. Comments and criticism are highly wellcome, of course. 


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