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
Full text not available from this repository. (Request a copy)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.
| 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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