We consider the calculations of three-point functions at nite temperature as they are usually performed in the literature. We show that as normally used, the Imaginary-Time and the Real Time nite temperature formalisms calculate expectation values of retarded and time ordered three point functions respectively. We also present a relation between these quantities that shows that they are not gen...

Understanding the Spectral Induced Polarization (SIP) response to saturation is required to improve application of this geophysical technique in the vadose zone. SIP measurements (0.11000 Hz) were conducted on three unconsolidated sediments during evaporative drying. Sample grain size distribution was determined from laser particle size diffraction measurements. The dependence of the real and i...

A complex autoregressive model was established based on the mathematic derivation of the least squares for the complex number domain which is referred to as the complex least squares. The model is different from the conventional way that the real number and the imaginary number are separately calculated. An application of this new model shows a better forecast than forecasts from other conventi...

We study the one-dimensional nonreciprocal lattices with real nearest-neighboring hopping and find that energy spectra under open boundary conditions can be entirely or imaginary. further investigate spectral properties non-Hermitian skin effect in mosaic introduced at equally spaced sites. The eigenenergies of such undergo a real-complex-imaginary real-complex transition as nonreciprocity vari...

We present an analytical method that yields the real and imaginary parts of the refractive index (RI) from low-coherence interferometry measurements, leading to the separation of the scattering and absorption coefficients of turbid samples. The imaginary RI is measured using time-frequency analysis, with the real part obtained by analyzing the nonlinear phase induced by a sample. A derivation r...