International Journal of Theoretical Physics

, Volume 46, Issue 3, pp 548–552

Schrödinger Equation for An Extended Electron



A new quantum mechanical wave equation describing the dynamics of an extended electron is derived via Bohmian mechanics. The solution to this equation is found through a wave packet approach which establishes a direct correlation between a classical variable with a quantum variable describing the dynamics of the center of mass and the width of the electron wave packet. The approach presented in this paper gives a comparatively clearer picture than approaches using elaborative manipulation of infinite series of operators. It is shown that the new Schrödinger equation is free of any runaway solutions or any acausal responses.


extended electron Sommerfeld–Page equation Bohmian mechanics 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Physics DepartmentThe Harvard-Westlake SchoolStudio CityUSA
  2. 2.Department of SciencesUniversity of California, Los Angeles, Extension ProgramLos AngelesUSA

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