Schrodinger equation


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Related to Schrodinger equation: Nonlinear Schrodinger equation

Schrödinger equation

n
(General Physics) an equation used in wave mechanics to describe a physical system. For a particle of mass m and potential energy V it is written (ih/2π).(∂ψ/∂t) = (–h2/8π2m)∇2ψ + Vψ, where i = √–1, h is the Planck constant, t the time, ∇2 the Laplace operator, and ψ the wave function
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Noun1.Schrodinger equation - the fundamental equation of wave mechanics
differential equation - an equation containing differentials of a function
References in periodicals archive ?
Lev Shemer examines the limitations of the nonlinear Schrodinger equation in the description of the evolution of nonlinear water-wave groups by carrying out a comparison between the numerical simulations and the results of measurements in laboratory wave tanks.
In non-relativistic quantum mechanics, the wave function [psi](t, x) of a particle of mass m obeys the Schrodinger equation
Due to the special structure of the nonlinear Schrodinger equation, the Jacobian operator exhibits one eigenvalue that moves to zero when the Newton iterate converges to a nontrivial solution and is exactly zero at a solution.
For atomic and molecular systems, his calculation is based on the fact that the wave function and geometric elements of the wave described by the Schrodinger equation are mathematical objects that describe the same physical system and depend on its constants of motion.
Starting from the mathematical expression which describes the motion of quantum objects, known as the Schrodinger equation, I could prove that in quantum mechanics, simple movements similar to a butterfly flapping can cause a dynamic so complex that it is unlikely we will ever be able to model it with conventional computers.
Simulations based on the exact time-dependent Schrodinger equation have not been possible in most cases.
Many of the physical and chemical phenomena surrounding us today are governed by an equation called the Schrodinger equation (Figure 2).
The time dependent Schrodinger equation is solved through a finite difference method.
According to the Iran Nanotechnology Initiative Council, the researchers derived electron and hole wave functions in a finite potential well of nanometric structures analytically by Schrodinger equation.
His topics include the time-independent Schrodinger equation, quantum mechanics in three dimensions, nuclear physics, and particle physics.
The inverse scattering technique discovered by Zabusky and Kruskal [3] is a powerful tool for exact solution of integrable equations, like the KdV equation [4] and the linear Schrodinger equation.