About: Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A discrete N-point Runge-Kutta version H-(N)(lambda) of one of the simplest non-Hermitian square-well Hamiltonians with real spectrum is studied. Its possible Hermitizations mediated by nontrivial (often called %22non-Dirac%22) metrics Theta not equal I are considered as a source of nonequivalent standard probabilistic interpretations of this quantum model. A complete set of these alternative, multiparametric metrics Theta=Theta((N))((a,b,...))(lambda) defining all the eligible Hamiltonian-dependent representations of the physical Hilbert space of states is constructed, in closed form, for any coupling lambda is an element of(-1,1) and for any matrix dimension N. A discrete N-point Runge-Kutta version H-(N)(lambda) of one of the simplest non-Hermitian square-well Hamiltonians with real spectrum is studied. Its possible Hermitizations mediated by nontrivial (often called %22non-Dirac%22) metrics Theta not equal I are considered as a source of nonequivalent standard probabilistic interpretations of this quantum model. A complete set of these alternative, multiparametric metrics Theta=Theta((N))((a,b,...))(lambda) defining all the eligible Hamiltonian-dependent representations of the physical Hilbert space of states is constructed, in closed form, for any coupling lambda is an element of(-1,1) and for any matrix dimension N. (en)
Title	Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian (en)
skos:prefLabel	Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian (en)
skos:notation	RIV/61389005:_____/09:00336848!RIV10-MSM-61389005
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/07/1307), P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Znojil, Miloslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	307868
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/09:00336848
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	bound states; Hermitian matrices; Hilbert spaces (en)
http://linked.open.../riv/klicoveSlovo	bound states Hilbert spaces Hermitian matrices
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[390F52D1B9D0]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics PT symmetry, supersymmetry and solvable models
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Znojil, Miloslav
http://linked.open...ain/vavai/riv/wos	000273223900006
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0022-2488
number of pages	19 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian

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