Generating Converging Bounds to the (Complex) Discrete States of the $P^2 + iX^3 + iαX$ Hamiltonian

Details Generating Converging Bounds to the (Complex) Discrete States of the $P^2 + iX^3 + iαX$ Hamiltonian Generating Converging Bounds to the (Complex) Discrete States of the $P^2 + iX^3 + iαX$ Hamiltonian

2001-04-26

arxiv.org/abs/math-ph/0104036v1

Physics

Mathematical Physics

Submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/34/24/305

The Eigenvalue Moment Method (EMM), Handy (2001), Handy and Wang (2001)) is
applied to the $H_\alpha \equiv P^2 + iX^3 + i\alpha X$ Hamiltonian, enabling
the algebraic/numerical generation of converging bounds to the complex energies
of the $L^2$ states, as argued (through asymptotic methods) by Delabaere and
Trinh (J. Phys. A: Math. Gen. {\bf 33} 8771 (2000)).

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