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Extension of a spectral bounding method to complex rotated Hamiltonians, with application to p2 - i x3

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Published 28 September 2001 • Published under licence by IOP Publishing Ltd
, , Citation C R Handy and Xiao Qian Wang 2001 J. Phys. A: Math. Gen. 34 8297 DOI 10.1088/0305-4470/34/40/307

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1 Department of Physics and Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314, USA

Dates

  1. Received 8 March 2001
  2. Published

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0305-4470/34/40/8297

Abstract

We show that a recently developed method for generating bounds for the discrete energy states of the non-Hermitian -ix3 potential (Handy C R 2001 J. Phys. A: Math. Gen. 34 L271) is applicable to complex rotated versions of the Hamiltonian. This has important implications for extension of the method in the analysis of resonant states, Regge poles, and general bound states in the complex plane (Bender and Boettcher 1998 Phys. Rev. Lett. 80 5243).

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10.1088/0305-4470/34/40/307