Foundations of Physics

, Volume 44, Issue 7, pp 725–735

Lagrangian form of Schrödinger equation

  • D. Arsenović
  • N. Burić
  • D. M. Davidović
  • S. Prvanović
Article

DOI: 10.1007/s10701-014-9810-4

Cite this article as:
Arsenović, D., Burić, N., Davidović, D.M. et al. Found Phys (2014) 44: 725. doi:10.1007/s10701-014-9810-4
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Abstract

Lagrangian formulation of quantum mechanical Schrödinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein–Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrödinger equation.

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • D. Arsenović
    • 1
  • N. Burić
    • 1
  • D. M. Davidović
    • 2
  • S. Prvanović
    • 1
  1. 1.Institute of PhysicsUniversity of BelgradeBelgradeSerbia
  2. 2.Vinca Institute of Nuclear SciencesUniversity of BelgradeBelgradeSerbia

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