## Abstract

Sturmian expansions enable a simply accurate separable specification of two nucleon t matrices based upon realistic two nucleon interactions. Sturmian eigenstates specified by stationary scattering boundary conditions are particularly useful in that context, and they can be calculated by solving a generalised eigenvalue equation using real and symmetric matrices. In general, the spectrum of such an equation may contain complex eigenvalues. But to each complex eigenvalues there is a corresponding conjugate partner. In studies using realistic two nucleon potentials, and in certain positive energy intervals, these complex conjugated pairs indeed appear in the Sturmian spectrum. However, it is demonstrated that it is possible to recombine the complex conjugate pairs and corresponding states into a new, (and useful) pair of real eigenvalues and eigenstates with which of effect separable expansions of the (real) two nucleon reactance matrices. 8 refs.

Dortmans, P J;
Canton, L;
Pisent, G;

^{[1] }Amos, K^{[2] }- Universita di Padova, Padova (Italy). Inst. Nazionale di Fisica Nucleare e Dipart. di Fisica
- Melbourne Univ., Parkville, VIC (Australia). School of Physics

## Citation Formats

Dortmans, P J, Canton, L, Pisent, G, and Amos, K.
Complex conjugate pairs in stationary Sturmians.
Australia: N. p.,
1994.
Web.

Dortmans, P J, Canton, L, Pisent, G, & Amos, K.
Complex conjugate pairs in stationary Sturmians.
Australia.

Dortmans, P J, Canton, L, Pisent, G, and Amos, K.
1994.
"Complex conjugate pairs in stationary Sturmians."
Australia.

@misc{etde_10113720,

title = {Complex conjugate pairs in stationary Sturmians}

author = {Dortmans, P J, Canton, L, Pisent, G, and Amos, K}

abstractNote = {Sturmian expansions enable a simply accurate separable specification of two nucleon t matrices based upon realistic two nucleon interactions. Sturmian eigenstates specified by stationary scattering boundary conditions are particularly useful in that context, and they can be calculated by solving a generalised eigenvalue equation using real and symmetric matrices. In general, the spectrum of such an equation may contain complex eigenvalues. But to each complex eigenvalues there is a corresponding conjugate partner. In studies using realistic two nucleon potentials, and in certain positive energy intervals, these complex conjugated pairs indeed appear in the Sturmian spectrum. However, it is demonstrated that it is possible to recombine the complex conjugate pairs and corresponding states into a new, (and useful) pair of real eigenvalues and eigenstates with which of effect separable expansions of the (real) two nucleon reactance matrices. 8 refs.}

place = {Australia}

year = {1994}

month = {Dec}

}

title = {Complex conjugate pairs in stationary Sturmians}

author = {Dortmans, P J, Canton, L, Pisent, G, and Amos, K}

abstractNote = {Sturmian expansions enable a simply accurate separable specification of two nucleon t matrices based upon realistic two nucleon interactions. Sturmian eigenstates specified by stationary scattering boundary conditions are particularly useful in that context, and they can be calculated by solving a generalised eigenvalue equation using real and symmetric matrices. In general, the spectrum of such an equation may contain complex eigenvalues. But to each complex eigenvalues there is a corresponding conjugate partner. In studies using realistic two nucleon potentials, and in certain positive energy intervals, these complex conjugated pairs indeed appear in the Sturmian spectrum. However, it is demonstrated that it is possible to recombine the complex conjugate pairs and corresponding states into a new, (and useful) pair of real eigenvalues and eigenstates with which of effect separable expansions of the (real) two nucleon reactance matrices. 8 refs.}

place = {Australia}

year = {1994}

month = {Dec}

}