A ug 2 00 2 PT − symmetric pseudo - perturbation recipe ; an imaginary cubic oscillator with spikes
نویسندگان
چکیده
The pseudo-perturbative 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) = ir3 − α √ ir oscillators.
منابع مشابه
Asymptotic solvability of an imaginary cubic oscillator with spikes
For complex potentials V (x) = −(ix)3 − β(ix) − 2 β δ (ix) which are PT symmetric we show that in the β ≫ 1 strong coupling regime the low lying bound states almost coincide with harmonic oscillators whenever the spectrum remains real (this means, at all δ < δcritical(β) ≈ 1). PACS 03.65.Fd 03.65.Ca 03.65.Ge 03.65.Bz
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تاریخ انتشار 2002