# O. M. Patsyuck

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Articles: 1

### On stable $\mathcal{C}$-symmetries for a class of $\mathcal{PT}$-symmetric operators

O. M. Patsyuck

Methods Funct. Anal. Topology 19 (2013), no. 1, 73-79

Recently, much attention is paid to the consideration of physical models described by $\mathcal{PT}$-symmetric Hamiltonians. In this paper, we establish a necessary and sufficient condition for existence of a stable $\mathcal{C}$-symmetry for a class of $\mathcal{PT}$-symmetric extensions of a symmetric operator $S$ with deficiency indices $(2,2)$.