About: Scattering theory using smeared non-Hermitian potentials

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Local non-Hermitian potentials V(x)not equal V-(x) can, sometimes, generate stable bound states Sigma(x) at real energies. Unfortunately, the idea [based on the use of a non-Dirac ad hoc metric Theta(x,x('))not equal delta(x-x(')) in Hilbert space] cannot directly be transferred to scattering due to the related loss of the asymptotic observability of x [cf. H. F. Jones, Phys. Rev. D 78, 065032 (2008)]. We argue that for smeared (typically, nonlocal or momentum-dependent) potentials V not equal V-dagger this difficulty may be circumvented. A return to the usual (i.e., causal and unitary) quantum scattering scenario is then illustrated via an exactly solvable multiple-scattering example. In it, the anomalous loss of observability of the coordinate remains restricted to a small vicinity of the scattering centers. Local non-Hermitian potentials V(x)not equal V-(x) can, sometimes, generate stable bound states Sigma(x) at real energies. Unfortunately, the idea [based on the use of a non-Dirac ad hoc metric Theta(x,x('))not equal delta(x-x(')) in Hilbert space] cannot directly be transferred to scattering due to the related loss of the asymptotic observability of x [cf. H. F. Jones, Phys. Rev. D 78, 065032 (2008)]. We argue that for smeared (typically, nonlocal or momentum-dependent) potentials V not equal V-dagger this difficulty may be circumvented. A return to the usual (i.e., causal and unitary) quantum scattering scenario is then illustrated via an exactly solvable multiple-scattering example. In it, the anomalous loss of observability of the coordinate remains restricted to a small vicinity of the scattering centers. (en)
Title	Scattering theory using smeared non-Hermitian potentials Scattering theory using smeared non-Hermitian potentials (en)
skos:prefLabel	Scattering theory using smeared non-Hermitian potentials Scattering theory using smeared non-Hermitian potentials (en)
skos:notation	RIV/61389005:_____/09:00333961!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	4
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	340320
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/09:00333961
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	symmetric quantum-mechanics; pseudo-hermiticity; real spectrum (en)
http://linked.open.../riv/klicoveSlovo	real spectrum pseudo-hermiticity symmetric quantum-mechanics
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[8BA553AABEFF]
http://linked.open...i/riv/nazevZdroje	Physical Review D: Particles, Fields, Gravitation and Cosmology
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	80
http://linked.open...iv/tvurceVysledku	Znojil, Miloslav
http://linked.open...ain/vavai/riv/wos	000269641400092
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	1550-7998
number of pages	12 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Scattering theory using smeared non-Hermitian potentials Scattering theory using smeared non-Hermitian potentials Scattering theory using smeared non-Hermitian potentials Scattering theory using smeared non-Hermitian potentials

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