On the connection among three classical mechanical problems via the hypercomplex KS-transformation
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Publication:1186213
DOI10.1007/BF00051045zbMath0746.70004MaRDI QIDQ1186213
Publication date: 28 June 1992
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
elliptic Kepler problemfour-dimensional isotropic harmonic oscillatorhypercomplex regularizationsspherical Euler- Poinsot problem
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Cites Work
- New foundations for classical mechanics
- The Kepler problem spinor regularization and pre-quantization of the negative-energy manifold
- Development of spinor descriptions of rotational mechanics from Euler's rigid body displacement theorem
- On the Geometry of the Kepler Problem
- The KS-transformation in hypercomplex form and the quantization of the negative-energy orbit manifold of the Kepler problem
- Geometrical and physical outlook on the cross product of two quaternions
- An algebraic and geometric approach to non-bijective quadratic transformations
- The KS-transformation in hypercomplex form
- Perturbation theory of Kepler motion based on spinor regularization.
- On nonclassical canonical systems
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