English

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

Mathematical Physics 2008-11-26 v2 math.MP Spectral Theory

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.

Keywords

Cite

@article{arxiv.math-ph/0206042,
  title  = {PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes},
  author = {Omar Mustafa and Miloslav Znojil},
  journal= {arXiv preprint arXiv:math-ph/0206042},
  year   = {2008}
}

Comments

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