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7 papers · 2 filters
A Possible Boson Realization of the so(4)- and the so(3,1)-Algebra
S. Nishiyama, C. Providencia, J. da Providencia +2
As natural extensions of the boson realizations of the su(2)- and the su(1,1)-algebra, the so(4)- and the so(3,1)-algebras are presented in the form of boson realizations with four…
A Note on the Eigenvalue Problem in the su(1,1)-Algebra
S. Nishiyama, C. Providencia, J. da Providencia +2
Normalization constant in the eigenstate appearing in the eigenvalue problem of the su(1,1)-algebra is discussed. This normalization constant is expressed in terms of the Gauss' hy…
On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins
S. Nishiyama, C. Providencia, J da Providencia +2
After recapitulating the eigenvalue problem of the su(1,1)-algebra in the conventional form, the same problem is treated in an unconventional form, in which the eigenvalue is pure…
Coupling Schemes for an n su(2) Spin System
M. Yamamura, C. Providencia, J. da Providencia +2
In the framework of the Schwinger boson representation for the su(2)-algebra, the closed form is derived for the total spin eigenstates which result from the coupling of n su(2)-sp…
Fermionic Squeezed State for Simple Algebraic Models in Many-Fermion Systems
H. Akaike, Y. Tsue, S. Nishiyama
It is shown that a variational approach with fermionic squeezed states to many-fermion systems such as pairing model is one of useful methods beyond the usual Hartree-Fock-Bogoliub…
Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. III
A. Kuriyama, C. Providencia, J. da Providencia +2
A basic idea is proposed for extending the formalism of Part (II) of the series of our paper to the case of the parameter-dependent deformation. It is stressed that, through this e…