About: Correlation function is a research topic. Over the lifetime, 4925 publications have been published within this topic receiving 121772 citations.
TL;DR: The wave-number k dependent current-correlation function is considered for a harmonic oscillator model and it is shown that the deep inelastic limit allows for an explicit summation of the continued fraction.
Abstract: The wave-number k dependent current-correlation function is considered for a harmonic oscillator model. An explicit analytic expression for the Laplace transformed correlation function is derived. It is compared with numerical solutions and results obtained by the recurrence relation method. Several limiting cases such as the long-wavelength limit k→0 and the deep inelastic limit k→∞ are discussed in detail. In particular, we show that the deep inelastic limit allows for an explicit summation of the continued fraction. An approximation scheme for the recurrants at intermediate values of k is also considered.
TL;DR: For one-dimensional PT-symmetric systems, the non-local product ψ ∗ ( − x, t ) ψ ( x, t ), obtained from the continuity equation can be interpreted as a conserved correlation function.
TL;DR: In this paper, the authors used the grand canonical Monte Carlo simulation method and an approximate integral equation to study the adaptation of the screened Coulomb fluid between two hard walls, and the results for the density profile were in good agreement with the Monte Carlo simulations except in the region very close to the surface.
TL;DR: In this paper, it was proved that Girvin's method for the calculation of the two-spin correlation function of the three-dimensional Ising model is based on the same approximation made by Frank and Mitran (1978).
Abstract: It is proved that Girvin's method (see ibid., vol.11, p.L427 (1978)) for the calculation of the two-spin correlation function of the three-dimensional Ising model is based on the same approximation made by Frank and Mitran (1978).