• Sturm–Schrödinger equations: Formula for metric

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0299-0306

• # Keywords

Crypto-Hermiticity; Sturm–Schrödinger bound-state problem.

• # Abstract

Sturm–Schrödinger equations $H\psi = EW\psi$ with $H \neq H^{\dagger}$ and $W \neq W^{\dagger} \neq I$ are considered, with a weak point of the theory lying in the purely numerical matrix- inversion form of the double-series definition of the necessary metric operator 𝛩 in the physical Hilbert space of states [M Znojil, J. Phys. A: Math. Theor. 41, 215304 (2008)]. This shortcoming is removed here via an amended, single-series definition of 𝛩.

• # Author Affiliations

1. Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic
2. Institute of Theoretical Physics, University of Stellenbosch and Stellenbosch Institute for Advanced Study, 7600 Stellenbosch, South Africa

• # Pramana – Journal of Physics

Current Issue
Volume 92 | Issue 6
June 2019