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Prog. Theor. Phys. Vol. 79 No. 2 (1988) pp. 330-342

[ Full Text PDF : FREE ACCESS (598K) ]

Theory of Many-Fermion System on Unitary-Transformation Method

Kenji Suzuki

Department of Physics, Kyushu Institute of Technology, Kitakyushu 804

(Received October 16, 1987)

Abstract:

A theory is formulated for solving a many-Fermion system in the framework of unitary-transformation method. A unitary transformation of a product form Πnexp S(n) with n-body operator S(n) is introduced. The operator exp S(n) is determined on the principle that the transformed Hamiltonian should not have interactions which induce n-particle-n-hole excitation. It is proved that the operator S(n) can be given in terms of eigenstates of n-body subsystem Hamiltonian and the true gound state can be given by Πn exp S(n)|φ0>, where |φ0> is the unperturbed free ground state.


URL : http://ptp.ipap.jp/link?PTP/79/330/
DOI : 10.1143/PTP.79.330

[ Full Text PDF : FREE ACCESS (598K) ] Citation:

See Also:

References:

  1. M. Wagner, “Unitary Transformations in Solid State Physics”, Modern Problems in Condensed Matter Sciences, ed. V. M. Agranovich and A. A. Maradudin (North Holland, 1986), vol. 15.
  2. F. Villars, Proceedings of the International School of Physics ≪Enrico Fermi≫, Course XXIII (1963), 1.
  3. J. da Providência and C. M. Shakin, Ann. of Phys. 30 (1964), 95[CrossRef].
  4. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 75 (1986), 1388[PTP]; ibid. 76 (1986), 127[PTP].
    K. Suzuki, R. Okamoto and H. Kumagai, Phys. Rev. 36C (1987), 804[APS].
  5. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73 (1980), 5711[CrossRef].
  6. P. Westhaus, Int. J. Quantum Chem. 20 (1981), 1243.
  7. K. Suzuki, Prog. Theor. Phys. 68 (1982), 246[PTP].
  8. K. Suzuki, Prog. Theor. Phys. 68 (1982), 1627[PTP].
  9. K. Suzuki and R. Okamoto, Prog. Theor. Phys. 70 (1983), 439[PTP]; ibid. 71 (1984), 1221[PTP].
  10. H. Kümmel, K. H. Lührmann and J. G. Zabolitzky, Phys. Rep. 36 (1978), 1[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 937-955 :
    Reformulation of Coupled-Cluster Theory for Many-Fermion System on Similarity-Transformation Theory
    Kenji Suzuki

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