Generalized Kustaanheimo-Stiefel transformations

Journal Article · Sat Oct 01 00:00:00 EDT 1994 · Theoretical and Mathematical Physics

DOI:https://doi.org/10.1007/BF01018797· OSTI ID:377100

Komarov, L I; Van Hoang, L

A theory is given for the construction of generalized Kustaanheimo-Stiefel (KS) transformations for dimensions q+1 (q=2{sup h}, h=0, 1, 2,...) of the Kepler problem, and the following proposition is proved: A connection between the Kepler problem in a real space of dimension q+1 and the problem of an isotropic harmonic oscillator in a real space dimension N exists and can be established by means of generalized KS transformations in the cases in which N=2q and q=2{sup h} (h=0, 1, 2,...). A simple graphical prescription for constructing generalized KS transformations that realize this connection is proposed.

• Sponsoring Organization: USDOE
• OSTI ID: 377100
• Journal Information: Theoretical and Mathematical Physics, Vol. 99, Issue 1; Other Information: PBD: Oct 1994; TN: Translated from Teoreticheskaya i Matematicheskaya Fizika; 99: No. 1, 75-80(Apr 1994)
• Country of Publication: United States
• Language: English

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