Isaac Scientific Publishing

Theoretical Physics

On Wave Function Representation of Particles as Shock Wave Discontinuities

Download PDF (727.1 KB) PP. 136 - 140 Pub. Date: September 19, 2017

DOI: 10.22606/tp.2017.23004

Author(s)

  • Babur M. Mirza*
    Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad. Pakistan

Abstract

In quantum theory particles are represented as wave packets. Shock wave analysis of quantum equations of motion shows that wave function representation in general and wave packet description in particular contain discontinuities due to a non-zero quantum force corresponding to quantum potential. The quantum force causes wave packet dispersion which results in the intersection of characteristic curves developing a shock discontinuity. Since quantum force vanishes for localized quantum density waves [1], it is thus established that localized quantum density waves form the only class of continuous wave representation of particles in quantum theory.

Keywords

Wave function; shock waves; wave packets; dispersion, quantum dynamics

References

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