Poisson Bracket Filter for the Effective Lagrangians-Reference-Cited by-同舟云学术

Poisson Bracket Filter for the Effective Lagrangians

Published:2023-07-20 Issue:7 Volume:12 Page:706
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Gambár Katalin¹²,Márkus Ferenc³

Affiliation:

1. Department of Natural Sciences, Institute of Electrophysics, Kálmán Kandó Faculty of Electrical Engineering, Óbuda University, Tavaszmező u. 17, H-1084 Budapest, Hungary

2. Department of Natural Sciences, National University of Public Service, Ludovika tér 2, H-1083 Budapest, Hungary

3. Department of Physics, Institute of Physics, Budapest University of Technology and Economics, Muegyetem rkp. 3, H-1111 Budapest, Hungary

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/706/pdf

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