Browsing by Author "Boyer, C.P."
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Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
Boyer, C.P.; Kalnins, Ernie G.; Winternitz, P. (198308)The Hamilton–Jacobi and Laplace–Beltrami equations on the Hermitian hyperbolic space HH(2) are shown to allow the separation of variables in precisely 12 classes of coordinate systems. The isometry group of this ... 
Lie theory and separation of variables. 6. The equation iUt + ∆2U = 0
Boyer, C.P.; Kalnins, Ernie G.; Miller, W., Jr. (197503)This paper constitutes a detailed study of the nine−parameter symmetry group of the time−dependent free particle Schrödinger equation in two space dimensions. It is shown that this equation separates in exactly 26 coordinate ... 
Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials
Boyer, C.P.; Kalnins, Ernie G.; Miller, W., Jr. (197503)As a continuation of Paper 6 we study the separable basis eigenfunctions and their relationships for the harmonic oscillator Hamiltonian in two space variables with special emphasis on products of Ince polynomials, the ... 
Separation of variables for the HamiltonJacobi equation on complex projective spaces
Boyer, C.P.; Kalnins, Ernie G.; Winternitz, P. (SIAM Publication, 1985)The additive separation of variables in the HamiltonJacobi equation and the multiplicative separation of variables in the LaplaceBeltrami equation are studied for the complex projective space C Pⁿ considered as a Riemannian ... 
Symmetries of the Hamilton–Jacobi equation
Boyer, C.P.; Kalnins, Ernie G. (197705)We present a detailed discussion of the infinit esimal symmetries of the HamiltonJacobi equation (an arbitrary first order partial equation) Our presentation clucidates the role played by the characteristic system in ...
Coauthors for C.P. Boyer
C.P. Boyer has 3 coauthors in Research Commons.