Poisson Bracket Filter for the Effective Lagrangians
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 ca...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/7/706 |
| _version_ | 1797590341243633664 |
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| author | Katalin Gambár Ferenc Márkus |
| author_facet | Katalin Gambár Ferenc Márkus |
| author_sort | Katalin Gambár |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:19:04Z |
| format | Article |
| id | doaj.art-edfb071fa49d43a6a9a45568d519fd62 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T01:19:04Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-edfb071fa49d43a6a9a45568d519fd622023-11-18T18:18:19ZengMDPI AGAxioms2075-16802023-07-0112770610.3390/axioms12070706Poisson Bracket Filter for the Effective LagrangiansKatalin Gambár0Ferenc Márkus1Department of Natural Sciences, Institute of Electrophysics, Kálmán Kandó Faculty of Electrical Engineering, Óbuda University, Tavaszmező u. 17, H-1084 Budapest, HungaryDepartment of Physics, Institute of Physics, Budapest University of Technology and Economics, Muegyetem rkp. 3, H-1111 Budapest, HungaryOne 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.https://www.mdpi.com/2075-1680/12/7/706Lagrangiancanonical momentaPoisson bracketsHamiltonianSchrödinger equation |
| spellingShingle | Katalin Gambár Ferenc Márkus Poisson Bracket Filter for the Effective Lagrangians Axioms Lagrangian canonical momenta Poisson brackets Hamiltonian Schrödinger equation |
| title | Poisson Bracket Filter for the Effective Lagrangians |
| title_full | Poisson Bracket Filter for the Effective Lagrangians |
| title_fullStr | Poisson Bracket Filter for the Effective Lagrangians |
| title_full_unstemmed | Poisson Bracket Filter for the Effective Lagrangians |
| title_short | Poisson Bracket Filter for the Effective Lagrangians |
| title_sort | poisson bracket filter for the effective lagrangians |
| topic | Lagrangian canonical momenta Poisson brackets Hamiltonian Schrödinger equation |
| url | https://www.mdpi.com/2075-1680/12/7/706 |
| work_keys_str_mv | AT katalingambar poissonbracketfilterfortheeffectivelagrangians AT ferencmarkus poissonbracketfilterfortheeffectivelagrangians |