Sturm-Schroedinger equations: formula for metric

Abstract

Sturm-Schroedinger equations $H\psi =EW\psi$ with $H\ne H^{†}$ and $W\ne W^{†}\ne I$ 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 $\Theta$ 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 $\Theta$.

14pp

References in corpus (4)

• Quantum toboggans with two branch points
• Identification of observables in quantum toboggans
• Green's operator for Hamiltonians with Coulomb plus polynomial potentials
• Quantum toboggans: models exhibiting a multisheeted PT symmetry

Cited by in corpus (6)

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• Planarizable Supersymmetric Quantum Toboggans
• Emergence and localization of exceptional points in an exactly solvable toy model
• Triple exceptional point with unitary paths of unfolding in a three-site fermionic Swanson-like model