On the possibility of analytically continuing stabilization graphs to determine resonance positions and widths accurately |
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Authors: | CW McCurdy JF McNutt |
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Institution: | Department of Chemistry, Ohio State University, 140 W. 18th Avenue, Columbus, Ohio 43210, USA |
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Abstract: | Previous efforts to extract resonance widths by analytic continuation of stabilization graphs were limited by non-analytic behavior of the eigenvalues as functions of the stabilization parameter. We describe a procedure which avoids this difficulty by numerical analytic continuation of the characteristic polynomial, truncated to low order, of the hamiltonian matrix. |
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