65 citations
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math-ph2008★ 2 cited
The Laplacian on homogeneous spaces
Liangzhong Hu
The solution of the eigenvalue problem of the Laplacian on a general homogeneous space G/H is given. Here, G is a compact, semisimple Lie group, H is a closed subgroup of G, and th…
math-ph2005
Quaternionic bound states
Stefano De Leo, Gisele Ducati
We study the bound-state solutions of vanishing angular momentum in a quaternionic spherical square-well potential of finite depth. As in the standard quantum mechanics, such solut…