dorsal/arxiv
View SchemaComplex Conjugate Pairs in Stationary Sturmians
| Authors | P. J. Dortmans, L. Canton, G. Pisent, K. Amos |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9312017 |
| URL | https://arxiv.org/abs/nucl-th/9312017 |
| DOI | 10.1103/PhysRevC.49.2828 |
| Journal | Phys.Rev.C49:2828-2830,1994 |
Abstract
Sturmian eigenstates specified by stationary scattering boundary conditions are particularly useful in contexts such as forming simple separable two nucleon t matrices, and are determined via solution of generalised eigenvalue equation using real and symmetric matrices. In general, the spectrum of such an equation may contain complex eigenvalues. But to each complex eigenvalue there is a corresponding conjugate partner. In studies using realistic nucleon--nucleon potentials, and in certain positive energy intervals, these complex conjugated pairs indeed appear in the Sturmian spectrum. However, as we demonstrate herein, it is possible to recombine the complex conjugate pairs and corresponding states into a new, sign--definite pair of real quantities with which to effect separable expansions of the (real) nucleon--nucleon reactance matrices.
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"abstract": "Sturmian eigenstates specified by stationary scattering boundary conditions\nare particularly useful in contexts such as forming simple separable two\nnucleon t matrices, and are determined via solution of generalised eigenvalue\nequation using real and symmetric matrices. In general, the spectrum of such an\nequation may contain complex eigenvalues. But to each complex eigenvalue there\nis a corresponding conjugate partner. In studies using realistic\nnucleon--nucleon potentials, and in certain positive energy intervals, these\ncomplex conjugated pairs indeed appear in the Sturmian spectrum. However, as we\ndemonstrate herein, it is possible to recombine the complex conjugate pairs and\ncorresponding states into a new, sign--definite pair of real quantities with\nwhich to effect separable expansions of the (real) nucleon--nucleon reactance\nmatrices.",
"arxiv_id": "nucl-th/9312017",
"authors": [
"P. J. Dortmans",
"L. Canton",
"G. Pisent",
"K. Amos"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.49.2828",
"journal_ref": "Phys.Rev.C49:2828-2830,1994",
"title": "Complex Conjugate Pairs in Stationary Sturmians",
"url": "https://arxiv.org/abs/nucl-th/9312017"
},
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