Schrodinger equation

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Related to Schrodinger equation: Nonlinear Schrodinger equation

Schrödinger equation

(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 ?
Useful properties of the Morse potential, as well as the solution to the related Schrodinger equation already given by Philip Morse himself [14], are well known to physicists.
The Schrodinger equation describes the variation of quantum state of a physical system with time.
Twenty papers from the November 2014 conference share new developments in combinatorial matrix theory, numerical linear algebra, operator theory, discrete mathematics, the space-time fractional Schrodinger equation, hyperbolic systems, ill-posed problems, boundary problems, and partial differential equations.
Although the spin components are missing from the standard version of the Schrodinger equation [5, p.
For instance, in finding the standing wave solutions for the following nonlinear Schrodinger equation
For the further study of the higher-order terms and nonlinear terms influence on soliton propagation mechanism, Guo have constructed the Lax Pair through Darboux transformation and derived the breathers and multisoliton solutions for the fourth-order generalized nonlinear Schrodinger equation as follows [12]:
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.
Besides the crystal potential, the electron feels an asymmetrical attraction potential, rendering impossible an exact solution of the Schrodinger equation for this system.
Van Kampen emphasizes that the wave function [psi], which obeys the Schrodinger equation, is not observed directly.
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.
Because Possibles are not a substance, consistent with the fact that the Schrodinger equation has no energy term, this dualism is not a substance dualism.
He considers a nonlinear Schrodinger equation and studies a linear scheme by considering both the main time step [t.