A functional approach to the Kustaanheimo-Steifel transformation

George Jaroszkiewicz, Glen McHale

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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
Issue number2
Publication statusPublished - 1 May 1987


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