scholarly journals The Schrödinger Semigroup on Some Flat and Non Flat Manifolds

2013 ◽  
Vol 8 (2) ◽  
pp. 461-484 ◽  
Author(s):  
R. S. Kraußhar ◽  
M. M. Rodrigues ◽  
N. Vieira
2020 ◽  
pp. 107560
Author(s):  
Daciberg Lima Gonçalves ◽  
John Guaschi ◽  
Oscar Ocampo ◽  
Carolina de Miranda e Pereiro

2005 ◽  
Vol 53 (3) ◽  
pp. 278-336 ◽  
Author(s):  
S. Gurrieri
Keyword(s):  

2011 ◽  
Vol 32 (15) ◽  
pp. 2047-2052 ◽  
Author(s):  
Sheraz Khan ◽  
Julien Lefevre ◽  
Habib Ammari ◽  
Sylvain Baillet

2011 ◽  
Author(s):  
Sergio Console ◽  
Juan Pablo Rossetti ◽  
Roberto J. Miatello ◽  
Carlos Herdeiro ◽  
Roger Picken

2011 ◽  
Vol 42 (1) ◽  
pp. 131-152 ◽  
Author(s):  
Huili Liu ◽  
Masaaki Umehara ◽  
Kotaro Yamada

2001 ◽  
Vol 16 (23) ◽  
pp. 1479-1486 ◽  
Author(s):  
A. A. BYTSENKO ◽  
A. E. GONÇALVES ◽  
S. ZERBINI

The non-planar contribution to the effective potentials for massless scalar and vector quantum field theories on D-dimensional manifold with p compact noncommutative extra dimensions is evaluated by means of dimensional regularization implemented by zeta function techniques. It is found that, the zeta function associated with the one-loop operator may not be regular at the origin. Thus, the related heat kernel trace has a logarithmic term in the short t asymptotic expansion. Consequences of this fact are briefly discussed.


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