Sturm-Schroedinger equations: formula for metric

preprint2009arXivOpen access

Abstract

Sturm-Schroedinger equations Hψ=EWψHψ=E Wψ with H≠H†H\neq H^\dagger and W≠W†≠IW\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 ΘΘ in the physical Hilbert space of states [M. Znojil, J. Phys. A: Math. Theor. 41 (2008) 215304]. This shortcoming is removed here via an amended, single-series definition of ΘΘ.

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