A functional approach to the Kustaanheimo-Steifel transformation

George Jaroszkiewicz, Glen McHale

Research output: Contribution to journalArticlepeer-review

Abstract

A constraint analysis of the Kepler problem with an integrated version of the Kustaanheimo-Steifel transformation gives a first-class constraint which generates a symmetry of the extended variables. The transformation is used in a functional approach to the quantum theory, showing that the transformed lagrangian is related to that of a 4-dimensional harmonic oscillator, with the functional integration over a restricted function space. Basis functions for this space are given in terms of two 2-dimensional harmonic oscillators with equal angular momentum quantum numbers, and are invariant under contact transformations generated by the first-class constraint.
Original languageEnglish
Pages (from-to)267-277
Number of pages11
JournalAnnals of physics
Volume175
Issue number2
DOIs
Publication statusPublished - 1 May 1987

Fingerprint

Dive into the research topics of 'A functional approach to the Kustaanheimo-Steifel transformation'. Together they form a unique fingerprint.

Cite this