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      Minimization of the Energy of the Non-Relativistic One-Electron Pauli-Fierz Model over Quasifree States

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          Abstract

          In this article is proved the existence and uniqueness of a minimizer of the energy for the non-relativistic one electron Pauli-Fierz model, within the class of pure quasifree states. The minimum of the energy on pure quasifree states coincides with the minimum of the energy on quasifree states. Infrared and ultraviolet cutoffs are assumed, along with sufficiently small coupling constant and momentum of the dressed electron. A perturbative expression of the minimum of the energy on quasifree states for a small momentum of the dressed electron and small coupling constant is then given. We also express the Lagrange equation for the minimizer, in terms of the generalized one particle density matrix of the pure quasifree state.

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          Author and article information

          Journal
          2013-01-05
          Article
          1301.0936
          50382a75-68cc-4d0b-aa90-10cf2372f10d

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          math-ph math.MP
          ccsd

          Mathematical physics,Mathematical & Computational physics
          Mathematical physics, Mathematical & Computational physics

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