6533b828fe1ef96bd1287a67

RESEARCH PRODUCT

A variational method from the variance of energy

Fabio SiringoLuca Marotta

subject

PhysicsParticle physicsPhysics and Astronomy (miscellaneous)GaussianQuantum mechanics Field theoryFOS: Physical sciencesOrder (ring theory)Variance (accounting)Extension (predicate logic)High Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Variational methodsymbolsApplied mathematicsQuantum field theoryEngineering (miscellaneous)Eigenvalues and eigenvectorsEnergy (signal processing)

description

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.

https://doi.org/10.1140/epjc/s2005-02358-x