Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1)...
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2011
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paper:paper_00207748_v50_n3_p774_Ardenghi2023-06-08T14:41:58Z Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory Actualization Casimir Hamiltonian Interpretation The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit. © 2010 Springer Science+Business Media, LLC. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v50_n3_p774_Ardenghi http://hdl.handle.net/20.500.12110/paper_00207748_v50_n3_p774_Ardenghi |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Actualization Casimir Hamiltonian Interpretation |
spellingShingle |
Actualization Casimir Hamiltonian Interpretation Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
topic_facet |
Actualization Casimir Hamiltonian Interpretation |
description |
The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit. © 2010 Springer Science+Business Media, LLC. |
title |
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
title_short |
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
title_full |
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
title_fullStr |
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
title_full_unstemmed |
Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory |
title_sort |
modal-hamiltonian interpretation of quantum mechanics and casimir operators: the road toward quantum field theory |
publishDate |
2011 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v50_n3_p774_Ardenghi http://hdl.handle.net/20.500.12110/paper_00207748_v50_n3_p774_Ardenghi |
_version_ |
1768544536275976192 |