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.
Siringo, F., Marotta, L. (2005). A Variational method from the variance of energy. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 44(2), 293-298 [10.1140/epjc/s2005-02358-x].
A Variational method from the variance of energy
MAROTTA, Luca
2005-01-01
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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