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Sturm-Schrodinger equations: Formula for metric
- 1.0329630 - ÚJF 2010 RIV IN eng J - Journal Article
Znojil, Miloslav - Geyer, H.B.
Sturm-Schrodinger equations: Formula for metric.
[Sturm -Schrodingerovy rovnice: vzorec pro metriku.]
Pramana: journal of physics. Roč. 73, č. 2 (2009), s. 299-306. ISSN 0304-4289. E-ISSN 0973-7111.
[8th Conference on Non-Hermitian Hamiltonians in Quantum Physics. Mumbai, 13.01.2009-16.01.2009]
R&D Projects: GA MŠMT LC06002; GA ČR GA202/07/1307
Institutional research plan: CEZ:AV0Z10480505
Keywords : Crypto-Hermiticity * Sturm-Schrodinger bound-state problem * Oscillators
Subject RIV: BE - Theoretical Physics
Impact factor: 0.349, year: 2009
Sturm-Schrodinger equations H psi = E W psi with H not equal H-dagger and W not equal W-dagger not equal 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 circle minus 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 circle minus.
Jsou uvažovány nehermitovské Sturm-Schrodingerovy rovnice. Slabým místem teorie je pouze numericky invertovatelná metrika definovaná dvojnou řadou. Tento nedostatek je zde odstraněn pomocí definice jednoduchou řadou.
Permanent Link: http://hdl.handle.net/11104/0175613
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