Poisson Bracket Filter for the Effective Lagrangians
DOI : 10.3390/axioms12070706
MTMT : 34070600
Date : 2023
Journal title : Axioms
Journal volume : 12
Journal issue number : 7
Pages : 706-713
Document type : folyóiratcikk
Subject : Lagrangian, canonical momenta, Poisson brackets, Hamiltonian, Schrödinger equation, Műszaki tudományok, Gépészeti tudományok
Abstract :
One might think that a Lagrangian function of any form is suitable for a complete description of a process. Indeed, it does not matter in terms of the equations of motion, but it seems that this is not enough. Expressions with Poisson brackets are displayed as required fulfillment filters. In the case of the Schrödinger equation for a free particle, we show what we have to be careful about.