# variational method

## variational method

[‚ver·ē′ā·shən·əl ‚meth·əd]
(quantum mechanics)
A method of calculating an upper bound on the lowest energy level of a quantum-mechanical system and an approximation for the corresponding wave function; in the integral representing the expectation value of the Hamiltonian operator, one substitutes a trial function for the true wave function, and varies parameters in the trial function to minimize the integral.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Lin, "Eigenfunction expansion variational method for stress intensity factor and T-stress evaluation of a circular cracked plate," Acta Mechanica, vol.
This section introduces the idea of local fractional Laplace variational method for the following fractional space-time telegraph equation:
Vese, "A variational method in image recovery," SIAM Journal on Numerical Analysis, vol.
Based on the principle theory of the method, due to the dynamic and physical constraints of numerical models, all observations are best fitted in the assimilation time window by the variational method, and the initial value of the optimal analysis at the beginning of the assimilation time window is obtained.
The variational method has been employed to compute the masses and decay constants of HLM in [72].
Inspired by the above works, in this paper, we try to study the existence and uniqueness of solution to the problem (1) by using the variational method.
In adaptive thresholding based on variational method, the first step is to divide the image into a regular grid of different sub regions which are adjoint and the second step is to assign different threshold to the centre of each sub region.
Variational Method. In 1985, Hashin proposed another approach to solve the crack problem in a cross-ply laminate, already shown in Figure 1.
Dai, Application of variational method to a class of Dirichlet boundary value problems with impulsive effects, J.
Mura, "General use of the Lagrange multiplier in nonlinear mathematical physics," in Variational Method in the Mechanics of Solids, S.
In this paper, in addition to the Variational method, both the finite element method (FEM) and method of moment (MoM) were also used to calculate the reflection coefficient, r of the microstrip patch sensor designed to operate in the frequency between 1 GHz and 4 GHz.
We follow the variational method developed by Lee-Low Pines [15, 16] using the expression for unitary transformation as

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