Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079413089> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2079413089 abstract "An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a nonlinear generalization of the Klein-Gordon equation. These generalizations were carried by introducing nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard, linear equations, are recovered in the limit q → 1. The main characteristic of this field theory consists on the fact that besides the usual documentclass[12pt]{minimal}begin{document}$Psi (vec{x},t)$end{document}Ψ(x⃗,t), a new field documentclass[12pt]{minimal}begin{document}$Phi (vec{x},t)$end{document}Φ(x⃗,t) needs to be introduced in the Lagrangian, as well. The field documentclass[12pt]{minimal}begin{document}$Phi (vec{x},t)$end{document}Φ(x⃗,t), which is defined by means of an additional equation, becomes documentclass[12pt]{minimal}begin{document}$Psi ^{*}(vec{x},t)$end{document}Ψ*(x⃗,t) only when q → 1. The solutions for the fields documentclass[12pt]{minimal}begin{document}$Psi (vec{x},t)$end{document}Ψ(x⃗,t) and documentclass[12pt]{minimal}begin{document}$Phi (vec{x},t)$end{document}Φ(x⃗,t) are found herein, being expressed in terms of a q-plane wave; moreover, both field equations lead to the relation E2 = p2c2 + m2c4, for all values of q. The fact that such a classical field theory works well for two very distinct nonlinear quantum equations, namely, the Schrödinger and Klein-Gordon ones, suggests that this procedure should be appropriate for a wider class nonlinear equations. It is shown that the standard global gauge invariance is broken as a consequence of the nonlinearity." @default.
- W2079413089 created "2016-06-24" @default.
- W2079413089 creator A5042751906 @default.
- W2079413089 creator A5062943487 @default.
- W2079413089 date "2013-10-01" @default.
- W2079413089 modified "2023-09-23" @default.
- W2079413089 title "Nonlinear quantum equations: Classical field theory" @default.
- W2079413089 cites W1619083749 @default.
- W2079413089 cites W1873431535 @default.
- W2079413089 cites W1980097479 @default.
- W2079413089 cites W1983874169 @default.
- W2079413089 cites W1985892240 @default.
- W2079413089 cites W1986447954 @default.
- W2079413089 cites W1991843946 @default.
- W2079413089 cites W1996438272 @default.
- W2079413089 cites W2009674109 @default.
- W2079413089 cites W2019417347 @default.
- W2079413089 cites W2040183387 @default.
- W2079413089 cites W2041440911 @default.
- W2079413089 cites W2045344317 @default.
- W2079413089 cites W2047741928 @default.
- W2079413089 cites W2059374347 @default.
- W2079413089 cites W2062517214 @default.
- W2079413089 cites W2069173441 @default.
- W2079413089 cites W2078477559 @default.
- W2079413089 cites W2091585247 @default.
- W2079413089 cites W2095074161 @default.
- W2079413089 cites W2116870865 @default.
- W2079413089 cites W2126482060 @default.
- W2079413089 cites W2161879643 @default.
- W2079413089 cites W2170439816 @default.
- W2079413089 cites W2335670645 @default.
- W2079413089 cites W2463100762 @default.
- W2079413089 cites W2964069246 @default.
- W2079413089 cites W3099176385 @default.
- W2079413089 cites W3101285080 @default.
- W2079413089 cites W4214665684 @default.
- W2079413089 doi "https://doi.org/10.1063/1.4824129" @default.
- W2079413089 hasPublicationYear "2013" @default.
- W2079413089 type Work @default.
- W2079413089 sameAs 2079413089 @default.
- W2079413089 citedByCount "17" @default.
- W2079413089 countsByYear W20794130892014 @default.
- W2079413089 countsByYear W20794130892015 @default.
- W2079413089 countsByYear W20794130892016 @default.
- W2079413089 countsByYear W20794130892017 @default.
- W2079413089 countsByYear W20794130892018 @default.
- W2079413089 countsByYear W20794130892020 @default.
- W2079413089 countsByYear W20794130892021 @default.
- W2079413089 crossrefType "journal-article" @default.
- W2079413089 hasAuthorship W2079413089A5042751906 @default.
- W2079413089 hasAuthorship W2079413089A5062943487 @default.
- W2079413089 hasBestOaLocation W20794130891 @default.
- W2079413089 hasConcept C121332964 @default.
- W2079413089 hasConcept C134306372 @default.
- W2079413089 hasConcept C158622935 @default.
- W2079413089 hasConcept C177148314 @default.
- W2079413089 hasConcept C202444582 @default.
- W2079413089 hasConcept C33923547 @default.
- W2079413089 hasConcept C37914503 @default.
- W2079413089 hasConcept C62520636 @default.
- W2079413089 hasConcept C84114770 @default.
- W2079413089 hasConcept C9652623 @default.
- W2079413089 hasConceptScore W2079413089C121332964 @default.
- W2079413089 hasConceptScore W2079413089C134306372 @default.
- W2079413089 hasConceptScore W2079413089C158622935 @default.
- W2079413089 hasConceptScore W2079413089C177148314 @default.
- W2079413089 hasConceptScore W2079413089C202444582 @default.
- W2079413089 hasConceptScore W2079413089C33923547 @default.
- W2079413089 hasConceptScore W2079413089C37914503 @default.
- W2079413089 hasConceptScore W2079413089C62520636 @default.
- W2079413089 hasConceptScore W2079413089C84114770 @default.
- W2079413089 hasConceptScore W2079413089C9652623 @default.
- W2079413089 hasIssue "10" @default.
- W2079413089 hasLocation W20794130891 @default.
- W2079413089 hasOpenAccess W2079413089 @default.
- W2079413089 hasPrimaryLocation W20794130891 @default.
- W2079413089 hasRelatedWork W1971753667 @default.
- W2079413089 hasRelatedWork W1997271576 @default.
- W2079413089 hasRelatedWork W2043930649 @default.
- W2079413089 hasRelatedWork W2052275678 @default.
- W2079413089 hasRelatedWork W2068208308 @default.
- W2079413089 hasRelatedWork W2082669437 @default.
- W2079413089 hasRelatedWork W2348187822 @default.
- W2079413089 hasRelatedWork W2531056186 @default.
- W2079413089 hasRelatedWork W3033558109 @default.
- W2079413089 hasRelatedWork W2946992918 @default.
- W2079413089 hasVolume "54" @default.
- W2079413089 isParatext "false" @default.
- W2079413089 isRetracted "false" @default.
- W2079413089 magId "2079413089" @default.
- W2079413089 workType "article" @default.