PT Symmetric Schr\'odinger Operators: Reality of the Perturbed Eigenvalues

Autor: Caliceti, Emanuela, Cannata, Francesco, Graffi, Sandro
Rok vydání: 2010
Předmět:
Zdroj: SIGMA 6 (2010), 009, 8 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2010.009
Popis: We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one-dimensional $x^2(ix)^{\epsilon}$ for $-1<\epsilon<0$.
Databáze: arXiv