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.
References in periodicals archive ?
Feodosiev used successfully the Papkovich variational method for particular problems.
Over 250 papers explore such topics as forecast models and their comparison in tourism passengers in Gansu Province, a mobility performance analysis of an outdoor mobile robot with foldable wheels, a weighted moving average passive aggressive algorithm for online portfolio selection, mammographic mass segmentation using a variational method, the design and implementation of a tank agent in combat situations, the modeling and design of networked control systems based on reduced dimension observers, and analyzing and countering flight delay based on statistical data.
Vainberg, Variational Method and Method of Monotone Operators in the Theory of Nonlinear Equations, John Wiley, New York, 1973.
One way to assess MHD stability of the toroidal equilibrium of a plasma by the variational method is to introduce a small perturbation in the equilibrium equations and then calculate the corresponding change of the solution.
Use of the direct variational method for the study of one- and two-electron atomic systems confined by spherical penetrable boxes.
1973, Dual variational method in critical point theory and applications, Journal of functional analysis, 14, pp.
Analytical investigation of strongly nonlinear normal mode using HPM and He's variational method, Journal of Applied Functional Analysis 4(1): 682-691.
He pays special attention to the Rayleigh variational method, characterizing it as the essential tool for any practical application both in molecular orbital and valence bond theory.
This paper is concerned with the variational method to solve the NLS equation.
A Variational Method of Robust Fixture Configuration Design for 3-D Workpiece, Journal of Manufacturing Science and Engineering, Vol.
Keywords: The p-Laplacian, variational method, multiple solutions.

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