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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We have constructed a set of non-Hermitian operators that satisfy thecommutation relations of the SO(3)-Lie algebra. It is shown that this operatorsgenerate rotations in the configuration space and not in the momentum space butin a modified non-Hermitian momentum space. This generators are related with anew type of spherical harmonics that result to be PT-orthonormal. Additionally,we have shown that this operators represent conserved quantities for anon-Hermitian Hamiltonian with an additional complex term. As a particularcase, the solutions of the corresponding PT-Hydrogen atom that includes acomplex term are obtained, and it is found that a non-Hermitian Runge-Lenzvector is a conserved quantity. In this way, we obtain a set of non-Hermitianoperators that satisfy the SO(4)-Lie algebra.

PT-Rotations, PT-Spherical Harmonics and the PT-Hydrogen Atom