scholarly journals Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits of a certain real semisimple Lie group

1993 ◽  
Vol 23 (3) ◽  
pp. 607-627
Author(s):  
Takashi Hashimoto
Keyword(s):  
Lie Group ◽  
Path Integrals ◽  
Coadjoint Orbits ◽  
Semisimple Lie Group ◽  
Feynman Path ◽  
Feynman Path Integrals

scholarly journals Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits I

1991 ◽  
Vol 20 (2) ◽  
pp. 353-405 ◽  
Author(s):  
Takashi HASHIMOTO ◽  
Kazunori OGURA ◽  
Kiyosato OKAMOTO ◽  
Ryuichi SAWAE ◽  
Hisatoshi YASUNAGA
Keyword(s):  
Path Integrals ◽  
Coadjoint Orbits ◽  
Feynman Path ◽  
Feynman Path Integrals

Kirillov-Kostant theory and Feynman path integrals on coadjoint orbits of SU(2) and SU(1,1)

1992 ◽  
Vol 07 (supp01a) ◽  
pp. 377-390 ◽  
Author(s):  
Takashi HASHIMOTO ◽  
Kazunori OGURA ◽  
Kiyosato OKAMOTO ◽  
Ryuichi SAWAE
Keyword(s):  
Kernel Function ◽  
Path Integral ◽  
Unitary Operator ◽  
Path Integrals ◽  
Coadjoint Orbits ◽  
Feynman Path ◽  
Operator Ordering ◽  
Feynman Path Integrals

Path integrals with Hamiltonians on coadjoint orbits of SU(2) and SU(1,1) are explicitly calculated, taking the operator ordering into account. The path integral gives the kernel function of the unitary operator of the representation which is constructed by the method of Kirillov-Kostant theory.

Generalized measure in Feynman path integrals

1976 ◽  
Vol 28 (3) ◽  
pp. 793-805 ◽  
Author(s):  
V. P. Maslov ◽  
A. M. Chebotarev
Keyword(s):  
Path Integrals ◽  
Feynman Path ◽  
Feynman Path Integrals
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