Publication: Differential realization of pseudo-Hermiticity: a quantum mechanical analog of Einstein's field equation
dc.contributor.department | Department of Mathematics | |
dc.contributor.kuauthor | Mostafazadeh, Ali | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T13:46:04Z | |
dc.date.issued | 2006 | |
dc.description.abstract | For a given pseudo-Hermitian Hamiltonian of the standard form: H=p(2)/2m+v(x), we reduce the problem of finding the most general (pseudo-)metric operator eta satisfying H(dagger)=eta H eta(-1) to the solution of a differential equation. If the configuration space is R, this is a Klein-Gordon equation with a nonconstant mass term. We obtain a general series solution of this equation that involves a pair of arbitrary functions. These characterize the arbitrariness in the choice of eta. We apply our general results to calculate eta for the PT-symmetric square well, an imaginary scattering potential, and a class of imaginary delta-function potentials. For the first two systems, our method reproduces the known results in a straightforward and extremely efficient manner. For all these systems we obtain the most general eta up to second-order terms in the coupling constants. | |
dc.description.fulltext | YES | |
dc.description.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 7 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.sponsorship | N/A | |
dc.description.version | Publisher version | |
dc.description.volume | 47 | |
dc.identifier.doi | 10.1063/1.2212668 | |
dc.identifier.eissn | 1089-7658 | |
dc.identifier.embargo | NO | |
dc.identifier.filenameinventoryno | IR00566 | |
dc.identifier.issn | 0022-2488 | |
dc.identifier.quartile | Q3 | |
dc.identifier.scopus | 2-s2.0-33746807203 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/3676 | |
dc.identifier.wos | 239423800003 | |
dc.keywords | Symmetric square-well | |
dc.keywords | Pt-symmetry | |
dc.keywords | Point interactions | |
dc.keywords | Hamiltonians | |
dc.keywords | Spectrum | |
dc.keywords | Operator | |
dc.keywords | Oscillator | |
dc.keywords | Scattering | |
dc.keywords | Reality | |
dc.keywords | Model | |
dc.language.iso | eng | |
dc.publisher | American Institute of Physics (AIP) Publishing | |
dc.relation.ispartof | Journal of Mathematical Physics | |
dc.relation.uri | http://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/626 | |
dc.subject | Mathematical physics | |
dc.title | Differential realization of pseudo-Hermiticity: a quantum mechanical analog of Einstein's field equation | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Mostafazadeh, Ali | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Mathematics | |
relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
relation.isParentOrgUnitOfPublication | af0395b0-7219-4165-a909-7016fa30932d | |
relation.isParentOrgUnitOfPublication.latestForDiscovery | af0395b0-7219-4165-a909-7016fa30932d |
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