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A variational method from the variance of energy

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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 to the Gaussian effective potential.

PACS. 03.65.-w, 11.10.-z, 05.30.-d

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Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia, Universitá di Catania, INFN Sez. di Catania and INFM UdR di Catania, via S. Sofia 64, 95123, Catania, Italy

    F. Siringo & L. Marotta

Authors
  1. F. Siringo
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  2. L. Marotta
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Correspondence to F. Siringo.

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Received: 28 June 2005, Published online: 13 September 2005

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Siringo, F., Marotta, L. A variational method from the variance of energy. Eur. Phys. J. C 44, 293–298 (2005). https://doi.org/10.1140/epjc/s2005-02358-x

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