PT symmetric Schrödinger operators: Reality of the perturbed eigenvalues

10Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

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 onedimensional x2(ix)ε for -1 < ε < 0.

References Powered by Scopus

Real spectra in non-hermitian hamiltonians having PT symmetry

5663Citations
N/AReaders
Get full text

Observation of PT-symmetry breaking in complex optical potentials

2494Citations
N/AReaders
Get full text

Supersymmetry and the spontaneous breakdown of PT symmetry

261Citations
N/AReaders
Get full text

Cited by Powered by Scopus

A Hamiltonian formulation of the Pais-Uhlenbeck oscillator that yields a stable and unitary quantum system

51Citations
N/AReaders
Get full text

Eigensystem of an L <sup>2</sup>-perturbed harmonic oscillator is an unconditional basis

22Citations
N/AReaders
Get full text

On a PT-symmetric waveguide with a pair of small holes

10Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Caliceti, E., Cannata, F., & Graffi, S. (2010). PT symmetric Schrödinger operators: Reality of the perturbed eigenvalues. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6. https://doi.org/10.3842/SIGMA.2010.009

Readers' Seniority

Tooltip

Researcher 2

67%

PhD / Post grad / Masters / Doc 1

33%

Readers' Discipline

Tooltip

Physics and Astronomy 4

67%

Philosophy 1

17%

Mathematics 1

17%

Save time finding and organizing research with Mendeley

Sign up for free