Gauge Invariance, Lorentz Covariance, and Current Correlation Functions

1966 ◽  
Vol 150 (4) ◽  
pp. 1338-1348 ◽  
Author(s):  
Lowell S. Brown
Keyword(s):  
Gauge Invariance ◽  
Correlation Functions ◽  
Lorentz Covariance ◽  
Current Correlation

scholarly journals Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 527 ◽  
Author(s):  
Bogdan R. Bułka ◽  
Jakub Łuczak
Keyword(s):  
Correlation Functions ◽  
Quantum Interference ◽  
Cross Correlation ◽  
Destructive Interference ◽  
Quantum Interference Effect ◽  
Auto Correlation ◽  
Current Correlation ◽  
Relevant Role ◽  
Opposite Chirality

We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through the states with opposite chirality plays a relevant role in transport, where one can observe Fano resonance with destructive interference. The quantum interference effect is quantitatively described by local bond currents and their correlation functions. Fluctuations of the transport current are characterized by the Lesovik formula for the shot noise, which is a composition of the bond current correlation functions. In the presence of circular currents, the cross-correlation of the bond currents can be very large, but it is negative and compensates for the large positive auto-correlation functions.

scholarly journals Gauge Invariance, Lorentz Covariance and Canonical Quantization in Nucleon Structure Studies

2015 ◽  
Vol 56 (6-9) ◽  
pp. 249-255 ◽  
Author(s):  
Fan Wang ◽  
C. W. Wong ◽  
X. S. Chen ◽  
W. M. Sun ◽  
P. M. Zhang
Keyword(s):  
Gauge Invariance ◽  
Canonical Quantization ◽  
Nucleon Structure ◽  
Lorentz Covariance
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