Spectra of PT-symmetric operators under rank-one perturbations

dc.contributor.author	Hryniv, Rostyslav
dc.contributor.author	Homa, Monika
dc.date.accessioned	2021-06-30T12:13:47Z
dc.date.available	2021-06-30T12:13:47Z
dc.date.issued	2020-08-18
dc.identifier.citation	Homa M. and Hryniv R., Spectra of PT-symmetric operators under rank-one perturbations // J. Phys. A: Math. Theor. 2020. V. 53 -- paper id 375202 (15pp), https://doi.org/10.1088/1751-8121/aba8d1	uk
dc.identifier.uri	https://er.ucu.edu.ua/handle/1/2714
dc.description.abstract	We study the spectra of PT-symmetric Hamiltonians H that are rank-one perturbations of a self-adjoint PT-symmetric Hamiltonian H0. We show that the discrete spectrum of H may include any number of complex–conjugate pairs of complex numbers of arbitrary algebraic multiplicity.	uk
dc.language.iso	en	uk
dc.publisher	IOP Publishing	uk
dc.subject
dc.subject	PT-symmetry
dc.subject	rank-one perturbations
dc.subject	non-real eigenvalues
dc.title	Spectra of PT-symmetric operators under rank-one perturbations	uk
dc.title
dc.type	Article	uk
dc.status	Опублікований і розповсюджений раніше	uk
dc.identifier.doi	https://doi.org/10.1088/1751-8121/aba8d1
dc.description.abstracten	We study the spectra of PT-symmetric Hamiltonians H that are rank-one perturbations of a self-adjoint PT-symmetric Hamiltonian H0. We show that the discrete spectrum of H may include any number of complex–conjugate pairs of complex numbers of arbitrary algebraic multiplicity.	uk