PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
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)^ε for −1<ε<0.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2010-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.009 |