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Pramana

, 73:299 | Cite as

Sturm-Schrödinger equations: Formula for metric

  • Miloslav Znojil
  • Hendrik B. Geyer
Article

Abstract

Sturm-Schrödinger equations = EWψ with HH and W≠ = W ≠ = 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.

Keywords

Crypto-Hermiticity Sturm-Schrödinger bound-state problem 

PACS Nos

03.65.Bz 03.65.Ca 

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Copyright information

© Indian Academy of Sciences 2009

Authors and Affiliations

  1. 1.Nuclear Physics Institute ASCRŘežCzech Republic
  2. 2.Institute of Theoretical PhysicsUniversity of Stellenbosch and Stellenbosch Institute for Advanced StudyStellenboschSouth Africa

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