Asymptotic solvability of an imaginary cubic oscillator with spikes

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IOP Publishing

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info:eu-repo/semantics/closedAccess

Abstract

For complex potentials V(x) = -(ix)(3) -beta(2)(ix)(-2) - 2betadelta(ix)(1/2) which are PT symmetric, we show that in beta much greater than 1 strong coupling regime the low-lying bound states almost coincide with harmonic oscillators whenever the spectrum remains real (this means, at all delta < delta(critical) (beta) approximate to 1).

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Keywords

PHYSICS, MATHEMATICAL, REAL, COMPLEX, EIGENVALUES, HARMONIC-OSCILLATORS, SYMMETRIC QUANTUM-MECHANICS, MATRIX ELEMENTS, High Energy

Journal or Series

Journal of Physics A: Mathematical and General

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Volume

35

Issue

27

Citation

M. Znojil, F. Gemperle, and O. Mustafa; J. Phys. A 35, 5781 (2002): arXiv: hep-th/0205181. ìAsymptotic solvability of an imaginary cubic oscillator with spikesî SCI-journal.

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