Foundations of Physics

, Volume 44, Issue 7, pp 725–735 | Cite as

Lagrangian form of Schrödinger equation

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


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.


Lagrangian Equation Lagrangian Formulation Gordon Equation Hamiltonian Operator Complex Hilbert Space 
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This work was supported in part by the Ministry of Education and Science of the Republic of Serbia, under project No. 171017, 171028 and 171006. and by COST (Action MP1006).


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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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