scholarly journals Path integral approach for spaces of nonconstant curvature in three dimensions

2007 ◽  
Vol 70 (3) ◽  
pp. 537-544
Author(s):  
C. Grosche
1983 ◽  
Vol 27 (2) ◽  
pp. 72-76 ◽  
Author(s):  
D Galetti ◽  
S S Mizrahi ◽  
B M Pimentel

1996 ◽  
Vol 10 (22) ◽  
pp. 2781-2796 ◽  
Author(s):  
SOMA MUKHOPADHYAY ◽  
ASHOK CHATTERJEE

We use the Feynman–Haken path-integral formalism to obtain the polaronic correction to the ground state energy of an electron in a polar semiconductor quantum dot with parabolic confinement in both two and three dimensions. We perform calculations for the entire range of the electron–phonon coupling parameter and for arbitrary confinement length. We apply our results to several semiconductor quantum dots and show that the polaronic effect in some of these dots can be considerably large if the dot sizes are made smaller than a few nanometers.


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