A note on the diagonalization of quadratic boson and fermion hamiltonians

Abstract

We take advantage of the symmetry present in quadratic boson and fermion hamiltonians to give a short and simple derivation of their diagonalizations. This is of particular relevance to bosons. Both procedures are critically evaluated and a striking resemblance is pointed out.

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van Hemmen, J.L. A note on the diagonalization of quadratic boson and fermion hamiltonians. Z. Physik B - Condensed Matter 38, 271–277 (1980). https://doi.org/10.1007/BF01315667

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Keywords

  • Spectroscopy
  • Neural Network
  • State Physics
  • Complex System
  • Nonlinear Dynamics