Spectral dependencies of Evans function for the Schrodinger equation
The specific properties of the Evans function, its use as a tool in mathematical physics. Application of the Darboux transformation to the Schrodinger equation. Solution of the standard Riccati differential equation. Investigation of a discrete spectra.
Подобные документы
The use of Lorentz transformations in solving some problems of mathematical physics. The solution to the string oscillation equation, which is a special case of the wave equation. Consideration of the effect of relativistic compression of the spectrum.
статья, добавлен 27.04.2019The task on the classification of the linear stochastic differential Ito equation of a given type which changes due to the parameters appearing in this equation. The study is a table full of group classification of the equations. Lie operation algebra.
статья, добавлен 22.01.2017Analyzed of the fundamental ideas of mathematical physics, which are accepted as the foundation in the attempt to solve the Navier-Stokes. Characteristic of the equations of dynamics of Hamilton. Completed the principal part of empirical physics.
статья, добавлен 30.03.2017The formation of the event horizon: one more paradox of classical Lorentz-Dirac preaccelerative solution. This paradox makes unrealizable the desire to solve problems of Lorentz-Dirac equation using preacceleration and backward in time integration.
статья, добавлен 11.09.2012The formulation of a metric model that satisfies the requirements of quantum theory. Description of gravitational waves by the Liouville equation. Proof of the Schrodinger conjecture on the connection between the wave function and gravitational waves.
статья, добавлен 13.05.2017Analysis of differential equations encountered in various applications, which are interpreted as equations in graphs. Using graph properties to create a high-quality theory of such equations and methods for their solution. Description of the graph struc
статья, добавлен 12.08.2020General equation of motion for a radiating electron. The origin of the Schott energy in the Abraham-Lorentz version of electrodynamic radiation theory. The Ford-O'Connell equation, the derived from a microscopic Hamiltonian for an electron with structure.
статья, добавлен 11.09.2012The velocity fields been studied within a semiclassical approach based on the solution of the Vlasov kinetic equation for finite component Fermi systems with a moving surface. The neutron-proton asymmetry and dynamical surface effects the energy region.
статья, добавлен 19.09.2013The development of a universal metric describing the properties of an inhomogeneous rotating Universe on the basis of solutions of the Einstein equations. The equation of state, describing the emergence of matter as the aggregate state of dark energy.
статья, добавлен 13.05.2017Presented PDE-method for solution of the Fokker-Planck Equation is proposed to study the beam dynamic in the storage ring. This method has been implemented in the new OPLEQ code. The results of numerical calculations obtained by this code are presented.
статья, добавлен 12.09.2013Maxwell’s equations and the equations governing charged particle dynamics. The relevant entities in these equations. Ambiguities in the definitions of the electromagnetic fields. A related term in the energy equation. Geodesics and Lorentz force.
статья, добавлен 11.09.2012Centroids and Moments of Inertia, and Center of Mass. First Moment and Centroid of a Set of Points. Kinematics of a Particle. Dynamics of a Particle. Polar and Cylindrical Coordinates. Kinematics of Rigid Bodies. Equation of Motion for the Mass Center.
учебное пособие, добавлен 14.09.2016General characteristics of the analytic solution of Kompaneets. Feature of interaction of the supernova remnant with inhomogeneities of the interstellar medium and especially with molecular clouds, analysis of the main approaches to the problem.
контрольная работа, добавлен 17.10.2013- 14. Birthday Balloon
Description of the mathematical model of the distribution of the forces acting on a long balloon. An analytical scheme for solving the problem of changing the volume over time, constructed a function with the analysis of three aspects of transition.
лекция, добавлен 26.05.2014 The propagation of electromagnetic waves in inhomogeneous isotropic lines in the presence of expofunctional influences. Differential equations like the wave equation relative to the unknown electromagnetic field intensities, criteria of solvability.
статья, добавлен 26.06.2016The quantum theory of a free real scalar eld as one of the few quantum eld theories that are exactly soluble. The classical structures as relevant for quantization and is used for constructing the Schrodinger representation in the general case.
статья, добавлен 09.09.2012The problem of decomposition of the relativistic equations for two particles in powers of 1/c to higher orders. Salpeter equation-Breit for hermitian forms with interaction. Generating functions for the first iteration of the transformed hamiltonian.
статья, добавлен 13.10.2016Lorenz system a model, that allows to describe the behavior of the plasma-condensate system near phase equilibrium. Influence of the fluctuations of the growing surface temperature the evolution equation and the corresponding Fokker-Planck equation.
статья, добавлен 30.07.2016Investigation of size effects in hydrogen-bonded crystals by numerical solution of the kinetic equation in finite differences, by finite difference method Calculation of the current density of thermally stimulated depolarization in finite differences.
реферат, добавлен 24.10.2014Development of the Connection: Coulomb's Law, Ampere's Law with Displacement Current, Faraday's Law. Other Equations of Electromagnetism. Continuity Equation and transformation properties of the connection. The first Chern class and Lorentz Force.
статья, добавлен 11.09.2012The description of the Dirac equation with the hyperbolic potential, Manning-Rosen, which includes the combined tensor interaction type Coulomb-Hulth’en. Peculiarities of numerical calculations to demonstrate the effect of the tensor interaction.
статья, добавлен 13.10.2016Распределение статического электрического потенциала при поперечном сечении экранированной двухпроводной линии. Partial Differential Equation Toolbox - эффективное средство для решения эллиптических, параболических, нелинейных дифференциальных уравнений.
лабораторная работа, добавлен 10.10.2015Properties of nuclei, heavy ion collisions and neutron stars. An estimate of the coefficient of incompressibility. Frequent mode of interaction of a particle collision. The theory for the microscopic description of the various modes of giant resonances.
статья, добавлен 06.11.2013Asymptotic formulas for stray fields of arbitrarily oriented magnetic and electric dipoles located on the axis of a translucent disk. Using the Kirchhoff approximation and the stationary phase method. Numerical solution of a singular integral equation.
статья, добавлен 05.11.2018Analytical comparison of the accuracy of numerical solutions obtained by the FDTD method and the Godunov method in solving telegraph equations. The advantages of the design scheme based on the Godunov method in the analysis of dynamic modes in long lines.
статья, добавлен 02.02.2019