It begins with basic definitions for expectation values and correlation functions and then distinguishes between static (equal-time) and dynamic (unequal-time) correlations.

Correlation function of fields are the natural objects to study in the path integral formulation. They contain the physical information we are interested in (e.g. scat-tering amplitudes) and have a …

spa-tial correlation functions. These functions characterize the structure of the system and provide more detailed information.

Correlation Functions The Correlation Function If X(t) is a sample function of one stochastic CT process and Y(t) is a sample function from another stochastic CT process and X 1 =Xt 1)

correlation function shows persistant oscillations at many frequencies. There is virtually no damping and the decay occurs primarily through dephasing (see Figure 4.1).

Find out which two datasets are correlated. Choose one of them and use your program to find its autocorrelation.

Rather, in correlation, the functions are represented by different, but generally similar, data sets. We investigate their “correlation,” by comparing them both directly superposed, and with one …