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pro vyhledávání: '"Leben, Florian"'
The limit point and limit circle classification of real Sturm-Liouville problems by H. Weyl more than 100 years ago was extended by A.R. Sims around 60 years ago to the case when the coefficients are complex. Here, the main result is a collection of
Externí odkaz:
http://arxiv.org/abs/2310.16128
Autor:
Leben, Florian, Trunk, Carsten
We consider a second-order differential equation $$ -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), \quad z\in \Gamma $$ with an eigenvalue parameter $\lambda \in \mathbb{C}$. In $\mathcal{PT}$ quantum mechanics $z$ runs through a complex contour $\Gamma\subset
Externí odkaz:
http://arxiv.org/abs/1902.08025