 About 1,130 results  books.google.com 
 books.google.com As shown in [4] 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
... 

 books.google.com KUSTAANHEIMOSTIEFEL 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.
Further ... 

 books.google.com A semiclassical calculation in configuration space has also been considered by
applying the Langer transformation of the ... They applied formally the
KustaanheimoStiefel transformation of coordinates and time to the Hamiltonian
path ... 

 books.google.com In the case of the threedimensional local martingale, which is the image of a four
dimensional Brownian motion under the KustaanheimoStiefel transformation,
the intrinsic clock coincides with the new time of linear celestial mechanics. 

 books.google.com While those of Moser and Souriau are ndimensional methods, the
KustaanheimoStiefel transformation IS is essentially related to the 3di
mensional Kepler Problem (really, it can be generalized to other dimensions, but
not in a ... 

 books.google.com 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 4dimensional harmonic oscillator whose motion is subject to a
constraint. 

 books.google.com Kustaanheimo employed idiosyncratic spinor methods to generalize LeviCivita's
approach [23]. Unsatisfied with that, Stiefel transformed it to a more conventional
matrix formulation now generally known as the KustaanheimoStiefel (KS) ... 

 books.google.com 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 ... 

 books.google.com q (D,d) = (2,2): is the LeviCivita transformation [10]. (D,d) = (4,3): is the
KustaanheimoStiefel transformation [7]. (D,d) = (8,5): is the Hurwitz
transformation [2,6,8]. • The transformation (3.1) establishes the connection
between two fundamental ... 

 