PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes

Abstract

The pseudo-perturbation shifted-l expansion technique PSLET is shown applicable in the non-Hermitian PT-symmetric context. The construction of bound states for several PT-symmetric potentials is presented, with special attention paid to V(r) = ir^3-alpha sqrt(ir) oscillators.

Revtex file, 22 pages, 2 ps figures, submitted for publication (JPA)

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• Space of State Vectors in PT Symmetrical Quantum Mechanics
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• A PT Symmetric QES Partner to the Khare Mandal Potential With Real Eigen Values
• Asymptotic solvability of an imaginary cubic oscillator with spikes

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