A completeness theorem for the system of eigenfunctions of the complex Schrödinger operator with potential \(q(x)=cx^\alpha \)

DOI10.1134/S0001434621050163zbMath1472.34149OpenAlexW3179872816MaRDI QIDQ2037731

S. N. Tumanov

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621050163

zbMATH Keywords

basis propertynon-self-adjoint Schrödinger operatorcompleteness of system of eigenfunctions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

• Differential operators admitting various rates of spectral projection growth
• Spectral properties of the complex Airy operator on the half-line
• Pseudospectra in non-Hermitian quantum mechanics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Wild Spectral Behaviour of Anharmonic Oscillators
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