paper

A variational method from the variance of energy

arXiv:hep-ph/0506284 · doi:10.1140/epjc/s2005-02358-x

Abstract

A variational method is studied based on the minimum of energy variance. The method is tested on exactly soluble problems in quantum mechanics, and is shown to be a useful tool whenever the properties of states are more relevant than the eigenvalues. In quantum field theory the method provides a consistent second order extension of the gaussian effective potential.

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