Lagrangian form of Schr\"odinger equation
Quantum Physics
2014-05-21 v1
Abstract
Lagrangian formulation of quantum mechanical Schr\"odinger 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 Schr\"odinger equation.
Keywords
Cite
@article{arxiv.1405.5099,
title = {Lagrangian form of Schr\"odinger equation},
author = {D. Arsenovic and N. Buric and D. M. Davidovic and S. Prvanovic},
journal= {arXiv preprint arXiv:1405.5099},
year = {2014}
}
Comments
To appear in Foundation of Physics