PT-Symmetry, Canonical Decomposition, Perturbation Theory
Autor: | Emanuela Caliceti |
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Rok vydání: | 2003 |
Předmět: | |
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 |
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