EFFECT OF UNBOUNDED OPERATORS ON VARIATIONAL CALCULATIONS IN TRUNCATED BASES Academic Article

abstract

• The validity of the results of finite basis, constrained variational calculations with unbounded operators has remained unquestioned despite the mathematical difficulties in an infinite basis pointed out by Fonte and Schiffrer. It will be shown here that the difficulties associated with unbounded operators are not restricted to infinite bases and that, in fact, the consequences are equally severe in finite bases. The demonstration will be made both for a one dimensional, one body model and in a full three dimensional, many body calculation typical of those currently being employed in nuclear physics. The correct procedure for imposing such constraints, e.g. the quadrupole constraint, and the validity of previous calculations remain open questions. NUCLEAR STRUCTURE Nonconvergence of variational calculations studied in finite bases. 1979 The American Physical Society.

authors

• Bassichis, William

published proceedings

• PHYSICAL REVIEW C

author list (cited authors)

• ALI, S. S., & BASSICHIS, W. H.

citation count

• 2

complete list of authors

• ALI, SS||BASSICHIS, WH

publication date

• December 1979

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review C: Nuclear Physics  Journal

keywords

• 51 Physical Sciences
• 5106 Nuclear And Plasma Physics

Digital Object Identifier (DOI)

• 10.1103/PhysRevC.20.2426

start page

• 2426

end page

• 2434

volume

• 20

issue

• 6

URL

• http://dx.doi.org/10.1103/physrevc.20.2426