Hilbert space inner products for PT-symmetric Su-Schrieffer-Heeger models

Abstract

A Su-Schrieffer-Heeger model with added PT-symmetric boundary term is studied in the framework of pseudo-hermitian quantum mechanics. For two special cases, a complete set of pseudometrics is constructed in closed form. When complemented with a condition of positivity, the pseudometrics determine all the physical inner products of the considered model.

10 pages, 5 figures

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• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Exploring Branched Hamiltonians for a Class of Nonlinear Systems
• A reappraisal of Lagrangians with non-quadratic velocity dependence and branched Hamiltonians
• Hermitian--to--quasi-Hermitian quantum phase transitions
• Nonlocality of Observables in Quasi-Hermitian Quantum Theory