Derivation of the eigenstates of Hermitian boson expansion theory from results of non-Hermitian theory

Journal Article · Wed May 01 00:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.31.1948· OSTI ID:5772683

Takada, K; Tamura, T; Tazaki, S

Dyson's boson expansion theory is known to allow one to calculate eigenenergies much easier than does the Hermitian boson expansion theory. New methods of calculating transition probabilities with the Dyson theory have also been developed recently. Here we show that these new methods can further be extended so as to give eigenstates of the Hermitian problem, via a very simple numerical procedure, by first obtaining Dyson's eigenstates.

• Research Organization: Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 5772683
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 31:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON EXPANSION
BOSONS
DYSON REPRESENTATION
EIGENFUNCTIONS
EIGENSTATES
ELECTROMAGNETIC RADIATION
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
HERMITIAN MATRIX
MATRICES
MATRIX ELEMENTS
PROBABILITY
RADIATIONS