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 generalized a class of non-Hermitian Hamiltonians which introducedpreviously by us in such a way in which every member in the class isnon-\textit{PT}-symmetric. For every member of the class, the ground state is aconstant with zero energy eigen value. Instead of using an infinite set ofcoupled operator equations to calculate the metric operator we used a simplerealization to obtain the class of closed form metric operators correspondingto the class of non-Hermitian and non-\textit{PT}-symmetric Hamiltoniansintroduced. The trick is that, if $\psi$ is an eigen function of $H$, then$\phi=\eta\psi$ is an eigen function of $H^{\dagger}$ with the same eigenvalue. Thus, knowing any pair $(\psi ,\phi)$ one can deduce the form of theexact metric operator. We note that, the class of Hamiltonians generalized inthis work has the form of that of imaginary magnetic field which can beabsorbed by the quasi-gauge transformations represented by metric operators.Accordingly, it is expected that the $Q$ operators will disappear for the wholemembers in the class in the path integral formulation. However, the detailedanalysis of this issue will appear in another work.

Exact Metric Operators as the Ground State functions of the Hermitian Conjugates of a Class of Quasi-Hermitian Hamiltonians