PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator   with spikes
  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. 
Omar Mustafa and Miloslav Znojil