PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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dc.contributor.author	Caliceti, E.
dc.contributor.author	Cannata, F.
dc.contributor.author	Graffi, S.
dc.date.accessioned	2019-02-07T14:17:38Z
dc.date.available	2019-02-07T14:17:38Z
dc.date.issued	2010
dc.identifier.citation	PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues / E. Caliceti // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 47A55; 47A75; 81Q15; 34L40; 35J10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146116
dc.description.abstract	We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one-dimensional x²(ix)ⁿ for −1<n<0.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the 5-th Microconference “Analytic and Algebraic Methods V”. The full collection is available at http://www.emis.de/journals/SIGMA/Prague2009.html. We wish to thank R. Tateo for useful correspondence.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA