J
J. Tolar
Publications - 1
Citations - 39
J. Tolar is an academic researcher. The author has contributed to research in topics: Hamiltonian (quantum mechanics) & Riemannian geometry. The author has an hindex of 1, co-authored 1 publications receiving 38 citations.
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Quantum Mechanics on Homogeneous Spaces
H. D. Doebner,J. Tolar +1 more
TL;DR: In this paper, a complete description of quantum kinematics on a homogeneous G−space M is presented using imprimitivity systems for G based on M. The quantum system on M is considered (if possible and consistent with this quantization) as kinematic on a G−orbit equivalent to M in some Euclidean space Rn, and a physically justified and mathematically well-defined method of connecting the free Hamiltonian of a quantum system in Rn with an operator proportional to the Laplace−Beltrami operator on M (with the R