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 language | English |
|---|---|
| Pages (from-to) | 267-277 |
| Number of pages | 11 |
| Journal | Annals of Physics |
| Volume | 175 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 May 1987 |