Variation Principle for Non-Linear Lagrangian in Quantum Mechanics
Open Access
- 1 May 1972
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 47 (5) , 1704-1713
- https://doi.org/10.1143/ptp.47.1704
Abstract
The variation principle has not been well defined in quantum mechanics for a Lagrangian containing a velocity dependent potential. We investigate the method of variation to derive an Euler-Lagrange equation in connection with Noether's theorem when the Lagrangian is invariant under some point transformation. Obtained are the Euler-Lagrange equation retaining the above invariance by means of the variation method and the Hamiltonian with which the canonical equation of motion leads to the Euler-Lagrange equation.Keywords
This publication has 0 references indexed in Scilit: