scholarly journals Phase space Feynman path integrals

2002 ◽  
Vol 43 (6) ◽  
pp. 2847-2857 ◽  
Author(s):  
S. Albeverio ◽  
G. Guatteri ◽  
S. Mazzucchi
2007 ◽  
Vol 22 (03) ◽  
pp. 191-200 ◽  
Author(s):  
JOSÉ M. ISIDRO ◽  
MAURICE A. DE GOSSON

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.


2006 ◽  
Vol 03 (08) ◽  
pp. 1469-1480 ◽  
Author(s):  
JOSÉ M. ISIDRO

We prove that a gerbe with a connection can be defined on classical phase space, taking the U(1)-valued phase of certain Feynman path integrals as Čech 2-cocycles. A quantisation condition on the corresponding 3-form field strength is proved to be equivalent to Heisenberg's uncertainty principle.


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