PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

Details PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

2010-01-20

arxiv.org/abs/1001.3656v1

SIGMA 6 (2010), 009, 8 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2010.009

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 $-1<\epsilon<0$.

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