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Complex conjugate pairs in stationary Sturmians

Technical Report:

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.
Authors:
Dortmans, P J; Canton, L; Pisent, G; [1]  Amos, K [2] 
  1. Universita di Padova, Padova (Italy). Inst. Nazionale di Fisica Nucleare e Dipart. di Fisica
  2. Melbourne Univ., Parkville, VIC (Australia). School of Physics
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
UM-P-93/112
Reference Number:
SCA: 662110; PA: AIX-26:017892; EDB-95:032211; SN: 95001330002
Resource Relation:
Other Information: PBD: [1994]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NUCLEON-NUCLEON INTERACTIONS; EIGENVALUES; BOUNDARY CONDITIONS; EIGENSTATES; S MATRIX; STURM-LIOUVILLE EQUATION; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10113720
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616279; TRN: AU9414222017892
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
8 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}