Path integrals on symmetric spaces and group manifolds

1997 ◽  
Vol 36 (1) ◽  
pp. 23-39
Author(s):  
P. Klimo
Keyword(s):  
Symmetric Spaces ◽  
Path Integrals

scholarly journals PATH INTEGRALS AND PERTURBATIVE EXPANSIONS FOR NONCOMPACT SYMMETRIC SPACES

1992 ◽  
Vol 07 (27) ◽  
pp. 6873-6885
Author(s):  
NOAH LINDEN ◽  
MALCOLM J. PEFIRY
Keyword(s):  
Perturbation Theory ◽  
Symmetric Space ◽  
Symmetric Spaces ◽  
Path Integrals ◽  
Perturbation Expansion ◽  
Quantum Mechanical ◽  
Soluble Model ◽  
Exactly Soluble Model ◽  
Quantum Mechanical Systems ◽  
Noncompact Symmetric Space

We show how to construct path integrals for quantum-mechanical systems where the space of configurations is a general noncompact symmetric space. Associated with this path integral is a perturbation theory which respects the global structure of the system. This perturbation expansion is evaluated for a simple example and leads to a new exactly soluble model. This work is a step towards the construction of a strong coupling perturbation theory for quantum gravity.

Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model
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