Lagrangian form of Schrodinger equation
Abstract
Lagrangian formulation of quantum mechanical Schrodinger 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 Schrodinger equation.
Source:
Foundations of Physics, 2014, 44, 7, 725-735Projects:
- Modeling and Numerical Simulations of Complex Many-Body Systems (RS-171017)
- A new approach to foundational problems of quantum mechanics related to applications in quantum technologies and interpretations of signals of various origins (RS-171028)
- The nonlinear dynamics of localized selforganized structures in plasmas, nano-composite meterials, liquid and fotonic crystals, and ultracold condensates (RS-171006)
- COST [MP1006]
DOI: 10.1007/s10701-014-9810-4
ISSN: 0015-9018 (print); 1572-9516 (electronic)