John P Killingbeck et al 2005 J. Phys. A: Math. Gen. 38 L695 doi:10.1088/0305-4470/38/42/L05
A complex variable form of the HEG technique
FREE ARTICLEJohn P Killingbeck1, Alain Grosjean2 and Georges Jolicard2
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A previously reported simple method for calculating complex matrix eigenvalues is modified to incorporate the traditional HEG approach for the case of even parity potentials. Two examples of resonance calculations are given. Our matrix and perturbation results agree with each other, but are not in full accord with previously published results for one of the test potentials. New results are given for the resonances of the inverted Gaussian potential.
- PACS
- MSC
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81Q15 Perturbation theories for operators and differential equations
- Subjects
- Dates
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Issue 42 (21 October 2005)
Received 14 July 2005, in final form 13 September 2005
Published 5 October 2005
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A complex variable form of the HEG technique
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