Rayleigh-Schrödinger-Goldstone variational perturbation theory for many Fermion systems

  • Sang Koo YouEmail author
  • Chul Koo Kim
Mathematical Physics


We present a Rayleigh-Schrödinger-Goldstone perturbation formalism for many Fermion systems. Based on this formalism, variational perturbation scheme which goes beyond the Gaussian approximation is developed. In order to go beyond the Gaussian approximation, we identify a parent Hamiltonian which has an effective Gaussian vacuum as a variational solution and carry out further perturbation with respect to the renormalized interaction using Goldstone’s expansion. Perturbation rules for the ground state wavefunctional and energy are found, thus, opening a way for general use of the Schrödinger picture method for many Fermion systems. Useful commuting relations between operators and the Gaussian wavefunctional are also found, which could reduce the calculational efforts substantially. As examples, we calculate the first order correction to the Gaussian wavefunctional and the second order correction to the ground state of an electron gas system with the Yukawa-type interaction.


Neural Network Perturbation Theory Order Correction Gaussian Approximation Fermion System 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Authors and Affiliations

  1. 1.Institute of Physics and Applied Physics, Yonsei UniversitySeoulKorea
  2. 2.Department of PhysicsUniversity of IncheonIncheonKorea

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