About: Horizons of stability

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Although the quantum bound-state energies may be generated by the so-called PT-symmetric Hamiltonians H = (PHP)-P-dagger not equal H-dagger where P is, typically, parity, the spectrum only remains real and observable (i.e., in the language of physics, the PT-symmetry remains unbroken) inside a domain D of couplings. We show that the boundary. D (i.e., certain stability and observability horizon formed by Kato's exceptional points) remains algebraic (i.e., we determine it by closed formulae) for a certain toy-model family of N-dimensional anharmonic-oscillator-related matrix Hamiltonians H(N) with N = 2, 3, . . . , 11. Although the quantum bound-state energies may be generated by the so-called PT-symmetric Hamiltonians H = (PHP)-P-dagger not equal H-dagger where P is, typically, parity, the spectrum only remains real and observable (i.e., in the language of physics, the PT-symmetry remains unbroken) inside a domain D of couplings. We show that the boundary. D (i.e., certain stability and observability horizon formed by Kato's exceptional points) remains algebraic (i.e., we determine it by closed formulae) for a certain toy-model family of N-dimensional anharmonic-oscillator-related matrix Hamiltonians H(N) with N = 2, 3, . . . , 11. (en) Ačkoliv energie kvantových vázaných stavů mohou být generovány tzv. PT-symetrickými nehermiteovskými hamiltoniány, zůstávají reálné a pozorovatelné uvnitř oblasti D vazbových konstant. Ukazujeme, že hranice D (tj. určitý horizont stability a pozorovatelnosti tvořený Katoovými vyjímečnými body) zůstává pro určité modely algebraická. (cs)
Title	Horizons of stability Horizons of stability (en) Horizonty stability (cs)
skos:prefLabel	Horizons of stability Horizons of stability (en) Horizonty stability (cs)
skos:notation	RIV/61389005:_____/08:00314821!RIV09-AV0-61389005
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	24
http://linked.open...vai/riv/dodaniDat	2009
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	370633
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/08:00314821
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	SYMMETRIC QUANTUM-MECHANICS; NON-HERMITIAN HAMILTONIANS; REAL ENERGY-SPECTRA (en)
http://linked.open.../riv/klicoveSlovo	SYMMETRIC QUANTUM-MECHANICS NON-HERMITIAN HAMILTONIANS REAL ENERGY-SPECTRA
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[E893B07D2B90]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A-Mathematical and Theoretical
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	2008
http://linked.open...v/svazekPeriodika	41
http://linked.open...iv/tvurceVysledku	Znojil, Miloslav
http://linked.open...ain/vavai/riv/wos	000256388200028
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	1751-8113
number of pages	16 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Horizons of stability Horizons of stability Horizons of stability Horizons of stability

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