نتایج جستجو برای: coupled matrix equations
تعداد نتایج: 768002 فیلتر نتایج به سال:
In this paper we motivate, formulate and analyze the Multi-Configuration Time-Dependent Hartree-Fock (MCTDHF) equations for molecular systems under Coulomb interaction. They consist in approximating the Nparticle Schrödinger wavefunction by a (time-dependent) linear combination of (time-dependent) Slater determinants. The equations of motion express as a system of ordinary differential equation...
in this paper operational matrix of bernstein polynomials (bps) is used to solve bratu equation. this nonlinear equation appears in the particular elecotrospun nanofibers fabrication process framework. elecotrospun organic nanofibers have been used for a large variety of filtration applications such as in non-woven and filtration industries. by using operational matrix of fractional integration...
We consider a pair of collectively oscillating networks dynamical elements and optimize their internetwork coupling for efficient mutual synchronization based on the phase reduction theory developed by Nakao et al. [Chaos 28, 045103 (2018)]. The equations describing weakly coupled are reduced to equations, linear stability synchronized state between is represented as function matrix. seek optim...
The Courant-Snyder theory for two-dimensional coupled linear optics is presented, based on the systematic use of the real representation of the Dirac matrices. Since any real 4× 4-matrix can be expressed as a linear combination of these matrices, the presented Ansatz allows for a comprehensive and complete treatment of two-dim. linear coupling. A survey of symplectic transformations in two dime...
For a system of coupled Schrödinger equations, the relationship is found between the vector-valued norming constants and M + 1 spectra of the M-channel Sturm-Liouville operator with the same potential matrix but different boundary conditions. Under a special choice of particular boundary conditions, this equation for norming vectors has a unique solution. The norming vectors derived from M + 1 ...
Exotic stochastic processes are shown to emerge in the quantum evolution of complex systems Using in uence func tion techniques we consider the dynamics of a system coupled to a chaotic subsystem described through random matrix the ory We nd that the reduced density matrix can display dy namics given by L evy stable laws The classical limit of these dynamics can be related to fractional kinetic...
For a system of M coupled Schrödinger equations, the relationship is found between the vector-valued norming constants and M + 1 spectra corresponding to the same potential matrix but different boundary conditions. Under a special choice of particular boundary conditions, this equation for norming vectors has a unique solution. The double set of norming vectors and associated spectrum of one of...
As two-dimensional coupled system of nonlinear partial differential equations does not give enough smooth solutions, when approximated by linear, quadratic and cubic polynomials and gives poor convergence or no convergence. In such cases, approximation by zero degree polynomials like Haar wavelets (continuous functions with finite jumps) are most suitable and reliable. Therefore, modified numer...
we consider a new type of integrable coupled nonlinear schrodinger (cnls)equations proposed by our self [submitted to phys. plasmas (2011)]. the explicitform of soliton solutions are derived using the hirota's bilinear method.we show that the parameters in the cnls equations only determine the regionsfor the existence of bright and dark soliton solutions. finally, throughthe linear stabili...
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