Some properties of spectral expansions related to the one-dimensional Stark effect Hamiltonian

DOI10.1016/S0898-1221(97)00159-4zbMath0915.34070OpenAlexW2005700346MaRDI QIDQ1381886

Leonid V. Kritskov, Vladimir Il'in

Publication date: 24 June 1999

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00159-4

zbMATH Keywords

equiconvergencespectral expansionsone-dimensional Stark effect Hamiltonian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Self-adjointness of the minimal Schrödinger operator with potential belonging to \(L_{1,\text{loc}}\)
• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Non-existence of wave operators for Stark effect Hamiltonians
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