About 1,130 results
|As shown in  one needs to introduce an extra variable and the transformation |
will be carried out in a 4–dimensional space. The other main ingredients of the
Kustaanheimo–Stiefel (hereafter, KS) regularization are similar to the Levi–Civita
|KUSTAANHEIMO-STIEFEL TRANSFORMATION S(x)), the above procedure will |
give the MacShane integral, which is equivalent to the Lebesgue integral.
Inspection of A) shows that one needs the original form of the definition here.
|A semiclassical calculation in configuration space has also been considered by |
applying the Langer transformation of the ... They applied formally the
Kustaanheimo-Stiefel transformation of coordinates and time to the Hamiltonian
|In the case of the three-dimensional local martingale, which is the image of a four|
-dimensional Brownian motion under the Kustaanheimo-Stiefel transformation,
the intrinsic clock coincides with the new time of linear celestial mechanics.
|While those of Moser and Souriau are n-dimensional methods, the |
Kustaanheimo-Stiefel transformation IS is essentially related to the 3-di-
mensional Kepler Problem (really, it can be generalized to other dimensions, but
not in a ...
|An alternative procedure is the Kustaanheimo– Stiefel (KS) transformation, which |
basically transforms the Hamiltonian K0(−→x, −→y) of (6.1.5) into the
Hamiltonian of a 4-dimensional harmonic oscillator whose motion is subject to a
|Kustaanheimo employed idiosyncratic spinor methods to generalize Levi-Civita's |
approach . Unsatisfied with that, Stiefel transformed it to a more conventional
matrix formulation now generally known as the Kustaanheimo-Stiefel (KS) ...
|Thisprocedure hasbeenimplementedformally througha canonicaltransformation(|
Kustaanheimo and Stiefel, 1965; Stiefel and Scheifele, 1971), and is now widely
known as the Kustaanheimo–Stiefel transformation. Under this transformation ...
|q (D,d) = (2,2): is the Levi-Civita transformation . (D,d) = (4,3): is the |
Kustaanheimo-Stiefel transformation . (D,d) = (8,5): is the Hurwitz
transformation [2,6,8]. • The transformation (3.1) establishes the connection
between two fundamental ...