Hilbert Space Inner Products for 𝓟𝓣\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {PT}$\end{document}-symmetric Su-Schrieffer-Heeger Models

A Su-Schrieffer-Heeger model with added 𝓟𝓣\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {PT}$\end{document}-symmetric boundary term is studied in the framework of pseudo-hermitian quantum mechanics. For two special cases λ=0 and γ=0, a complete set of pseudometrics P(k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {P}^{(k)}$\end{document} is constructed in closed form. When complemented with a condition of positivity, the pseudometrics determine all the physical inner products of the considered model.