Proper incorporation of the self-adjoint extension method to the Green function formalism: one-dimensional -function potential case

DOI10.1088/0305-4470/29/19/024zbMath0905.47036arXivhep-th/9512097OpenAlexW2011880644MaRDI QIDQ4393679

Dae Kil Park

Publication date: 3 February 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9512097

zbMATH Keywords

energy-dependent Green functionGreen function formalism without invoking perturbation expansionone-dimensional \(\delta'\)-function potentialself-adjoint extension method

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Axiomatic quantum field theory; operator algebras (81T05) Applications of operator theory to differential and integral equations (47N20) Dilations, extensions, compressions of linear operators (47A20)

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