The recent past quantum state formalism ( 2013 Phys. Rev. Lett. 111,160401) indicates that the outcome probability of the measurement performed on a quantum system at time t shows dependence on the measurement events ...
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The recent past quantum state formalism ( 2013 Phys. Rev. Lett. 111,160401) indicates that the outcome probability of the measurement performed on a quantum system at time t shows dependence on the measurement events recorded until that time, and is also revised by the outcomes acquired after time t . We apply the past quantum state formalism to calculate the three-time correlation function of a radiation fi eld and to analyze the conditional dynamics on the pre- and postselection by the fi rst and last detection events. The persistent oscillations in the three-time fi eld correlation function, which cannot be well understood by the usual quantum regression theorem, are straightforwardly explained by the probabilistic knowledge of the past and the future through the past quantum state reasoning.
We study the correlation functions of the B0D+,B+D0 system,which develops a bound state of approximately 40MeV,using inputs consistent with the Tcc(3875)***,we address the inverse problem starting from these correlati...
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We study the correlation functions of the B0D+,B+D0 system,which develops a bound state of approximately 40MeV,using inputs consistent with the Tcc(3875)***,we address the inverse problem starting from these correlation functions to determine the scattering observables related to the system,including the existence of the bound state and its molecular *** important output of the approach is the uncertainty with which these observables can be obtained,considering errors in the B0D+,B+D0 correlation functions typical of current values in correlation *** find that it is possible to obtain scattering lengths and effective ranges with relatively high precision and the existence of a bound *** the pole position is obtained with errors of the order of 50%of the binding energy,the molecular probability of the state is obtained with a very small error of the order of 6%.All these findings serve as motivation to perform such measurements in future runs of high energy hadron collisions.
An integro-differential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations, which includes sho...
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An integro-differential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations, which includes short, intermediate and long-time memory effects described by the waiting time probability density function. Analytical expression for the correlation function is obtained and analyzed, which can be used to describe, for instance, internal motions of proteins. The result shows that the generalized diffusion equation has a broad application and it may be used to describe different kinds of systems. (C) 2014 Elsevier Inc. All rights reserved.
The temperature behavior of the Fourier transform of the spin-correlation function has been studied in terms of the one-dimensional Ising model taking into account the interaction between the nearest neighbors in the ...
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The temperature behavior of the Fourier transform of the spin-correlation function has been studied in terms of the one-dimensional Ising model taking into account the interaction between the nearest neighbors in the cases of different signs of exchange interactions, magnetic field, and spin. It has been shown that, in the antiferromagnetic model, in the frustration field, the correlation function has a broad maximum and does not take on the form of a delta function as the temperature approaches zero, which indicates the absence of ordering in the system.
The paper introduces a correlation function of the excluded volume necessary for a real-space description of scattering from dense systems of spherical particles.
The paper introduces a correlation function of the excluded volume necessary for a real-space description of scattering from dense systems of spherical particles.
We consider variational (density functional) models of fluids confined in parallel-plate geometries (with walls situated in the planes z = 0 and z = L respectively) and focus on the structure of the pair correlation f...
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We consider variational (density functional) models of fluids confined in parallel-plate geometries (with walls situated in the planes z = 0 and z = L respectively) and focus on the structure of the pair correlation function G(r(1), r(2)). We show that for local variational models there exist two non-trivial identities relating both the transverse Fourier transform G(z(mu), z(nu);q) and the zeroth moment G(0)(z(mu), z(nu)) at different positions z(1), z(2) and z(3). These relations form an algebra which severely restricts the possible form of the function G(0)(z(mu), z(nu)). For the common situations in which the equilibrium one-body (magnetization/number density) profile m(0)(z) exhibits an odd or even reflection symmetry in the z = L/2 plane, the algebra simplifies considerably, and is used to relate the correlation function to the finite-size excess free energy gamma(L). We rederive non-trivial scaling expressions for the finite-size contribution to the free energy at bulk criticality and for systems where large-scale interfacial fluctuations are present. Extensions to non-planar geometries are also considered.
In the recently proposed two-parameter (mu) over tilde, q-deformed Bose gas model (Gavrilik and Mishchenko, 2013) [3], aimed to take effectively into account both compositeness of particles and their interaction, the ...
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In the recently proposed two-parameter (mu) over tilde, q-deformed Bose gas model (Gavrilik and Mishchenko, 2013) [3], aimed to take effectively into account both compositeness of particles and their interaction, the (mu) over tilde, q-deformed virial expansion of the equation of state (EOS) was obtained. In this paper we further explore the (mu) over bar, q-deformation, namely the version of (mu) over bar, q-Bose gas model involving deformed distributions and correlation functions. In the model, we explicitly derive the one- and two-particle deformed distribution functions and the intercept of two-particle momentum correlation function. The results are illustrated by plots, and the comparison with known experimental data on two-pion correlation function intercepts extracted in RHIC/STAR experiments is given. (C) 2014 The Authors. Published by Elsevier B.V.
The stability of heterogeneous biopolymers is extremely important for maintaining their conformation and carrying out biological functions. The conformational stability of these molecules determines their ability to p...
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The stability of heterogeneous biopolymers is extremely important for maintaining their conformation and carrying out biological functions. The conformational stability of these molecules determines their ability to preserve the necessary structure for biological processes such as catalytic activity, molecular recognition, and cellular interactions. Within the framework of the Generalized Model of the Polypeptide Chain (GMPC), the correlation function of a two-component heteropolymer has been computed as a function of distance, specifically the number of repeating units between two monomers in a helical state, using the method of super-matrices. Through this research, dependencies of the correlation function on the number of repeating units between monomers in the helical state have been obtained for several realizations and different temperatures, particularly around the melting temperature. An interpolation dependency has been proposed for the curve at the melting temperature, expressed as a sum of exponential and power functions. This model allows for a more accurate description of the correlation function behavior under critical conditions close to the melting temperature. The exponential part of the model reflects intense decay of correlation at short distances, while the power function describes mild changes at longer distances.
The angular correlations of a cascade of capture gamma rays with energies of E1=0.34 MeV, E2=1.38 MeV on49Ti nuclei have been measured. The results confirm that it is a cascade of the type 1/2− (M1+E2) 3/2− (E2) 7/2− ...
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The angular correlations of a cascade of capture gamma rays with energies of E1=0.34 MeV, E2=1.38 MeV on49Ti nuclei have been measured. The results confirm that it is a cascade of the type 1/2− (M1+E2) 3/2− (E2) 7/2− with a mixing parameter of the first transition δ=−0.1, or δ=+2.2.
We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model oil the lattice with one infinite and one finite dimension with periodic boundary conditions imposed along the ...
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We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model oil the lattice with one infinite and one finite dimension with periodic boundary conditions imposed along the second dimension. Using the exact expressions for lattice form factors, we propose formulas for arbitrary spin matrix elements, thus providing a possibility to calculate all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. We analyze passing to the scaling limit.
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