1971•Physical Review LettersRequires access

Equivalent Two-Body Interactions with Specified Bound-State Wave Functions

J. E. Monahan, C. M. Shakin, R. M. Thaler

Abstract

We consider two subsets of the set of spectrally equivalent two-particle interactions. The interactions in one subset have identical bound-state eigenfunctions and those in the other have bound-state eigenfunctions that differ in any preassigned manner for small distances of separation. These results enable one to investigate the off-shell properties of on-shell equivalent two-particle potentials that have identical bound-state properties consistent with all information available about such states.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Eigenfunction, Bound state, State (computer science), Physics, Wave function, Upper and lower bounds, Shell (structure), Set (abstract data type)