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Action with acceleration II: Euclide Hamiltonian and Jordan blocks

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dc.contributor.authorBaaquie, Belal E.
dc.date.accessioned2017-07-20T03:04:34Z
dc.date.available2017-07-20T03:04:34Z
dc.date.issued2013
dc.description.abstractThe Euclidean action with acceleration has been analyzed in Ref. 1, and referred to henceforth as Paper I, for its Hamiltonian and path integral. In this paper, the state space of the Hamiltonian is analyzed for the case when it is pseudo-Hermitian (equivalent to a Hermitian Hamiltonian), as well as the case when it is inequivalent. The propagator is computed using both creation and destruction operators as well as the path integral. A state space calculation of the propagator shows the crucial role played by the dual state vectors that yields a result impossible to obtain from a Hermitian Hamiltonian. When it is not pseudo-Hermitian, the Hamiltonian is shown to be a direct sum of Jordan blocks.en_US
dc.identifier.citationBaaquie, Belal E. (2013). Action with acceleration II: Euclide Hamiltonian and Jordan blocks. International Journal of Modern Physics, 28 (27).en_US
dc.identifier.issn1793-656X (Online)
dc.identifier.urihttp://www.worldscientific.com/doi/pdf/10.1142/S0217751X13501388
dc.identifier.urihttps://ikr.inceif.edu.my/handle/INCEIF/2570
dc.languageEnglish
dc.language.isoenen_US
dc.publisherWorld Scientific Publishing Co Pte Ltden_US
dc.rights2013. World Scientific Publishing Co Pte Ltd
dc.sourceSEDONA
dc.subjectQuantum mechanicsen_US
dc.subjectQuantum systems with finite Hilbert spaceen_US
dc.subjectLinear algebra|Economicsen_US
dc.titleAction with acceleration II: Euclide Hamiltonian and Jordan blocksen_US
dc.typeJournal Articleen_US
dlc.maintopicConventional financeen_US
dlc.subtopicEconomicsen_US
dspace.entity.typePublication
ikr.doctypeScholarly Works
ikr.topic.maintopicConventional financeen_US
ikr.topic.subtopicEconomicsen_US
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