The evolution of six-quark color-singlet state distribution amplitudes is formulated as an application of perturbative quantum chromodynamics to nuclear wave functions. We derive and solve a set of coupled evolution equations for the deuteron S-wave amplitude. The solution of the evolution equations leads to a general matrix representation of anomalous dimensions which can be used to analyze th...

In this paper, we employ extended tanh-function method and the (G0 G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Liouville equation and comparison between this two method and another method which have been solved it. When these parameters are taken to be special values, the solitary wave solutions are derived from t...

We consider the evolution of superfluid properties of a three-dimensional p-wave Fermi gas from a weak coupling Bardeen-Cooper-Schrieffer (BCS) to strong coupling Bose-Einstein condensation (BEC) limit as a function of scattering volume. At zero temperature, we show that a quantum phase transition occurs for p-wave systems, unlike the s-wave case where the BCS to BEC evolution is just a crossov...

We study the evolution of supernova core from the beginning of gravitational collapse of a 15M⊙ star up to 1 second after core bounce. We present results of spherically symmetric simulations of core-collapse supernovae by solving general relativistic ν-radiation-hydrodynamics in the implicit time-differencing. We aim to explore the evolution of shock wave in a long term and investigate the form...

We present results of real-time tracking of atomic two-electron dynamics in an autoionizing transient wave packet in krypton. A coherent superposition of two Fano resonances is excited with a femtosecond extreme-ultraviolet pulse. The evolution of the corresponding wave packet is subsequently probed with a delayed infrared pulse. In our specific case, we get access to the interference between o...

In the present work, employing a one dimensional model of an unmagnetized collisionless plasma consisting of a cold electron fluid, hot electrons obeying j velocity distribution, and stationary ions, we study the amplitude modulation of an electron-acoustic waves by use of the conventional reductive perturbation method. Employing the field equations of such a plasma, we obtained the nonlinear S...

Abstract: Two class of fractional type solutions of Riccati equation are constructed from its three known solutions. These fractional type solutions are used to propose an approach for constructing infinite number of exact traveling wave solutions of nonlinear evolution equations by means of the extended tanh–function method. The infinite number of exact traveling wave solutions of the long–sho...

We present a generalization of the finite volume evolution Galerkin scheme [17, 18] for hyperbolic systems with spatially varying flux functions. Our goal is to develop a genuinely multi-dimensional numerical scheme for wave propagation problems in a heterogeneous media. We illustrate our methodology for acoustic waves in a heterogeneous medium but the results can be generalized to more complex...

We carefully rederive JIMWLK equation using lightcone perturbation theory. Rigorous treatment requires knowledge of the boosted wave function with second order accuracy. We show that in the second order calculation there are several omitted subtleties. The JIMWLK evolution equation is the important part of high energy QCD. Originally, equation was derived using path integral language [1, 2, 3] ...

There is a widespread belief in the quantum physical community, and in textbooks used to teach Quantum Mechanics, that it is a difficult task to apply the time evolution operator e itˆH / on an initial wave function. That is to say, because the hamiltonian operator generally is the sum of two operators, then it is a difficult task to apply the time evolution operator on an initial wave function...