History state formalism for scalar particles

We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt-like equation, whose projection onto four-dimensional coordinates leads to the Klein-Gordon equation. The standard quan...

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Detalles Bibliográficos
Autores principales:	Díaz, Nahuel Luciano, Matera, Juan Mauricio, Rossignoli, Raúl Dante
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2019
Materias:	Física Ciencias Exactas covariant quantum formalism Wheeler DeWitt-like equation scalar particles
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/124815
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-124815
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Ciencias Exactas covariant quantum formalism Wheeler DeWitt-like equation scalar particles
spellingShingle	Física Ciencias Exactas covariant quantum formalism Wheeler DeWitt-like equation scalar particles Díaz, Nahuel Luciano Matera, Juan Mauricio Rossignoli, Raúl Dante History state formalism for scalar particles
topic_facet	Física Ciencias Exactas covariant quantum formalism Wheeler DeWitt-like equation scalar particles
description	We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt-like equation, whose projection onto four-dimensional coordinates leads to the Klein-Gordon equation. The standard quantum mechanical product in the enlarged space, which is invariant and positive definite, implies the usual Klein-Gordon product when applied to its eigenstates. Moreover, the standard three-dimensional invariant measure emerges naturally from the flat measure in four dimensions when mass eigenstates are considered, allowing a rigorous identification between definite mass history states and the standard Wigner representation. Connections with the free propagator of scalar field theory and localized states are subsequently derived. The formalism also allows the superposition of different theories and remains valid in the presence of a fixed external field, revealing special orthogonality relations. Other details such as extended identities for the current density, the quantization of parameterized theories and the nonrelativistic limit, with its connection to the Page and Wooters formalism, are discussed. A related consistent second quantization formulation is also introduced.
format	Articulo Articulo
author	Díaz, Nahuel Luciano Matera, Juan Mauricio Rossignoli, Raúl Dante
author_facet	Díaz, Nahuel Luciano Matera, Juan Mauricio Rossignoli, Raúl Dante
author_sort	Díaz, Nahuel Luciano
title	History state formalism for scalar particles
title_short	History state formalism for scalar particles
title_full	History state formalism for scalar particles
title_fullStr	History state formalism for scalar particles
title_full_unstemmed	History state formalism for scalar particles
title_sort	history state formalism for scalar particles
publishDate	2019
url	http://sedici.unlp.edu.ar/handle/10915/124815
work_keys_str_mv	AT diaznahuelluciano historystateformalismforscalarparticles AT materajuanmauricio historystateformalismforscalarparticles AT rossignolirauldante historystateformalismforscalarparticles
bdutipo_str	Repositorios
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History state formalism for scalar particles

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