scholarly journals Phase space Feynman path integrals of parabolic type with smooth functional derivatives

2019 ◽  
Vol 153 ◽  
pp. 1-27 ◽  
Author(s):  
Naoto Kumano-go
Keyword(s):  
Phase Space ◽  
Path Integrals ◽  
Parabolic Type ◽  
Feynman Path ◽  
Feynman Path Integrals ◽  
Functional Derivatives ◽  
Smooth Functional

scholarly journals Phase space Feynman path integrals

2002 ◽  
Vol 43 (6) ◽  
pp. 2847-2857 ◽  
Author(s):  
S. Albeverio ◽  
G. Guatteri ◽  
S. Mazzucchi
Keyword(s):  
Phase Space ◽  
Path Integrals ◽  
Feynman Path ◽  
Feynman Path Integrals

scholarly journals A GAUGE THEORY OF QUANTUM MECHANICS

2007 ◽  
Vol 22 (03) ◽  
pp. 191-200 ◽  
Author(s):  
JOSÉ M. ISIDRO ◽  
MAURICE A. DE GOSSON
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theory ◽  
Phase Space ◽  
Gauge Group ◽  
Path Integrals ◽  
Invariance Group ◽  
Feynman Path ◽  
Cartan Form ◽  
Feynman Path Integrals ◽  
Classical Phase Space

An Abelian gerbe is constructed over classical phase space. The two-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincaré–Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schrödinger equation on phase space.

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