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Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schrodinger equation

SYSNO ASEP	0477442
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schrodinger equation
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Number of authors	1
Article number	012127
Source Title	Physical Review A. - : American Physical Society - ISSN 2469-9926 Roč. 96, č. 1 (2017)
Number of pages	12 s.
Publication form	Print - P
Language	eng - English
Country	US - United States
Keywords	non-Hermitian ; PT symmetric ; bound states
Subject RIV	BE - Theoretical Physics
OECD category	Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
R&D Projects	GA16-22945S GA ČR - Czech Science Foundation (CSF)
Institutional support	UJF-V - RVO:61389005
UT WOS	000406517500002
EID SCOPUS	85026799665
DOI	10.1103/PhysRevA.96.012127
Annotation	The phenomenon of the birth of an isolated quantum bound state at the lower edge of the continuum is studied for a particle moving along a discrete real line of coordinates x is an element of Z. The motion is controlled by a weakly nonlocal 2J- parametric external potential V which is non-Hermitian but PT symmetric. The model is found exactly solvable. The bound states are interpreted as Sturmians. Their closed-form definitions are presented and discussed up to J = 7.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2018

Number of the records: 1