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Prog. Theor. Phys. Vol. 73 No. 5 (1985) pp. 1098-1121

[ Full Text PDF : FREE ACCESS (916K) ]

One-Dimensional Many-Fermion System. I

— Exact Solution in a Field Theoretical Framework —

Takeji Kebukawa

Department of Physics, College of General Education, Osaka University, Toyonaka 560

(Received December 4, 1984)

Abstract:

The eigenvalue problem in a one-dimensional system of many fermions interacting via a delta-function potential is solved exactly in a field theoretical framework. Simultaneous eigenstates of spin and energy are represented in a systematic and compact form, that is, in such a form that the orbital and spin eigenfunctions are unified in harmony without the aid of Young's tableau. The eigenstate and energy eigenvalue are specified by two sets of quantum numbers, particle momenta and spin momenta, besides two eigenvalues of a total spin angular momentum and its z-component. It is shown that for given particle momenta and spin momenta the energy eigenvalue is given by the solutions of coupled equations.


URL : http://ptp.ipap.jp/link?PTP/73/1098/
DOI : 10.1143/PTP.73.1098

[ Full Text PDF : FREE ACCESS (916K) ] Citation:

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References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 74 No. 1 (1985) pp. 1-10 :
    One-Dimensional Heisenberg Model. I
    Takeji Kebukawa
  2. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 236-261 :
    Reduced Model of Anderson-Hamiltonian. I
    Takeji Kebukawa
  3. Progress of Theoretical Physics Vol. 75 No. 1 (1986) pp. 27-45 :
    Reduced Model of Anderson-Hamiltonian. II
    Takeji Kebukawa
  4. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 506-521 :
    One-Dimensional Many-Fermion System. II
    Takeji Kebukawa
  5. Progress of Theoretical Physics Vol. 88 No. 4 (1992) pp. 673-690 :
    One-Dimensional s-d Model. I
    Takeji Kebukawa

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