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dc.contributor.CRUESPUniversidade Estadual de Campinaspt_BR
dc.typeArtigo de periódicopt_BR
dc.titleQuaternionic differential operatorspt_BR
dc.contributor.authorDe Leo, Spt_BR
dc.contributor.authorDucati, Gpt_BR
unicamp.authorUniv Campinas, Dept Appl Math, BR-13083970 Campinas, SP, Brazil Univ Parma, Dept Math, BR-81531970 Curitiba, Parana, Brazilpt_BR
dc.subject.wosGeneralized Quantum Dynamicspt_BR
dc.subject.wosGroup-representationspt_BR
dc.subject.wosElectron Theorypt_BR
dc.subject.wosMechanicspt_BR
dc.subject.wosEquationpt_BR
dc.subject.wosComplexpt_BR
dc.subject.wosMatricespt_BR
dc.subject.wosFieldpt_BR
dc.description.abstractMotivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical theory, namely the resolution of the second order differential equations with constant coefficients. We overcome the problems coming out from the loss of the fundamental theorem of the algebra for quaternions and propose a practical method to solve quaternionic and complex linear second order differential equations with constant coefficients. The resolution of the complex linear Schrodinger equation, in the presence of quaternionic potentials, represents an interesting application of the mathematical material discussed in this paper. (C) 2001 American Institute of Physics.pt
dc.relation.ispartofJournal Of Mathematical Physicspt_BR
dc.relation.ispartofabbreviationJ. Math. Phys.pt_BR
dc.publisher.cityMelvillept_BR
dc.publisher.countryEUApt_BR
dc.publisherAmer Inst Physicspt_BR
dc.date.issued2001pt_BR
dc.date.monthofcirculationMAYpt_BR
dc.identifier.citationJournal Of Mathematical Physics. Amer Inst Physics, v. 42, n. 5, n. 2236, n. 2265, 2001.pt_BR
dc.language.isoenpt_BR
dc.description.volume42pt_BR
dc.description.issuenumber5pt_BR
dc.description.initialpage2236pt_BR
dc.description.lastpage2265pt_BR
dc.rightsabertopt_BR
dc.sourceWeb of Sciencept_BR
dc.identifier.issn0022-2488pt_BR
dc.identifier.wosidWOS:000168185300020pt_BR
dc.identifier.doi10.1063/1.1360195pt_BR
dc.date.available2014-11-19T21:40:06Z
dc.date.available2015-11-26T16:30:01Z-
dc.date.accessioned2014-11-19T21:40:06Z
dc.date.accessioned2015-11-26T16:30:01Z-
dc.description.provenanceMade available in DSpace on 2014-11-19T21:40:06Z (GMT). No. of bitstreams: 1 WOS000168185300020.pdf: 406675 bytes, checksum: eaa926ed92f993881e78624bf3a7b8b4 (MD5) Previous issue date: 2001en
dc.description.provenanceMade available in DSpace on 2015-11-26T16:30:01Z (GMT). No. of bitstreams: 2 WOS000168185300020.pdf: 406675 bytes, checksum: eaa926ed92f993881e78624bf3a7b8b4 (MD5) WOS000168185300020.pdf.txt: 71487 bytes, checksum: 908ba87bff8c4ea4428242d089471a6a (MD5) Previous issue date: 2001en
dc.identifier.urihttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/58747pt_BR
dc.identifier.urihttp://www.repositorio.unicamp.br/handle/REPOSIP/58747
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/58747-
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