PT-Symmetry, Canonical Decomposition, Perturbation Theory

Autor:	Emanuela Caliceti
Rok vydání:	2003
Předmět:	Physics Singular value Polynomial Reflection (mathematics) Operator (physics) General Physics and Astronomy Mathematics::Spectral Theory Type (model theory) Symmetry (geometry) Perturbation theory Eigenvalues and eigenvectors Mathematical physics
Zdroj:	Czechoslovak Journal of Physics. 53:999-1005
ISSN:	0011-4626
Popis:	Let H be any PT-symmetric Schrodinger operator of the type H=-ħ2Δ+x2+igW(x), where W is a real polynomial, odd under reflection of all coordinates, g∈R, acting on L2(Rd). The proof is outlined of the following statements: PH is self-adjoint and its eigenvalues coincide with the eigenvalues of √(H*H). Moreover the eigenvalues of √(H*H), known as the singular values of H, can be computed via perturbation theory by Borel summability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::616b0d0d7e8d2730e981d6e997b1f7d9 https://doi.org/10.1023/b:cjop.0000010524.48339.48 Zobrazit plný text záznamu Full text from SpringerLink