Abstract
The Kustaanheimo-Stiefel transformation as applied to the nonrelativistic hydrogen atom provides one of the rare examples of a free particle moving on a four-dimensional homogeneous space.
Similar content being viewed by others
References
P. Kustaanheimo, E. Stiefel: J. Reine Angew. Math.218, 204 (1965)
I.H. Duru, H. Kleinert: Phys. Lett.84B, 185 (1979)
A.C. Chen: Phys. Rev.22A, 333 (1980)
H. Grinberg, J. Marañon, H. Vucetich: J. Chem. Phys.78, 839 (1983); Grinberg, J. Marañon, H. Vucetich: Int. J. Quantum Chem.23, 379 (1983)
G.A. Ringwood, J.T. Devreese: J. Math. Phys.21, 1390 (1980)
A. Barut, C.K.E. Schneider, R. Wilson: J. Math. Phys.20, 2244 (1979)
M.S. Marinov: Phys. Rep.60, 26 (1980)
J.S. Dowker, J. Phys. A. Gen. Phys.5, 936 (1972)
Annal. Inst. H. Poincaré32 327–341 (1980)
R.P. Feynman, A.R. Hibbs: Quantum mechanics and path integrals. New York: McGraw-Hill 1965
J.S. Dowker: J. Phys. A. Math. Nucl. Gen.7, 1256 (1974)
G.A. Ringwood: J. Phys. A. Math. Gen.9, 1253 (1976)
E.L. Stiefel, G. Scheifele: Linear and regular celestical mechanics. Grundlehren der Mathematischen Wissenschutten Bd, 174. Berlin, Heidelberg, New York: Springer 1971
A. Inomata: Phys. Lett.87A, 387 (1981)
A.C. Chen: Phys. Rev.26A, 669 (1982)
Author information
Authors and Affiliations
Additional information
MCIC CONICET República Argentina
Rights and permissions
About this article
Cite this article
Grinberg, H., Marañon, J. & Vucetich, H. The hydrogen atom as a projection of an homogeneous space. Z. Phys. C - Particles and Fields 20, 147–149 (1983). https://doi.org/10.1007/BF01573217
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01573217