A functional approach to the Kustaanheimo-Steifel transformation

Jaroszkiewicz, George and McHale, Glen (1987) A functional approach to the Kustaanheimo-Steifel transformation. Annals of Physics, 175 (2). pp. 267-277. ISSN 0003-4916

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Official URL: https://doi.org/10.1016/0003-4916(87)90210-7


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.

Item Type: Article
Subjects: F300 Physics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Becky Skoyles
Date Deposited: 08 Jun 2017 14:20
Last Modified: 12 Oct 2019 18:32
URI: http://nrl.northumbria.ac.uk/id/eprint/30988

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