English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the recent years a generalization of Hermiticity was investigated using acomplex deformation H=p^2 +x^2(ix)^\epsilon of the harmonic oscillatorHamiltonian, where \epsilon is a real parameter. These complex Hamiltonians,possessing PT symmetry (the product of parity and time reversal), can have realspectrum. We will consider the most simple case: \epsilon even. In this paperwe describe all self-adjoint (Hermitian) and at the same time PT symmetricoperators associated to H=p^2 +x^2(ix)^\epsilon. Surprisingly it turns out thatthere are a large class of self-adjoint operators associated to H=p^2+x^2(ix)^\epsilon which are not PT symmetric.

On Domains of PT Symmetric Operators Related to -y''(x) + (-1)^n x^{2n}y(x)