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5 papers · 1 filter
Classical and Quantal Descriptions of Small Amplitude Fluctuations Around Equilibriums in the Two-Level Pairing Model
Y. Tsue, C. Providencia, J. da Providencia +1
Various classical counterparts for the two-level pairing model in a many-fermion system are presented in the Schwinger boson representation. It is shown that one of the key ingredi…
Traces of symmetric Markov processes and their characterizations
Zhen-Qing Chen, Masatoshi Fukushima, Jiangang Ying
Time change is one of the most basic and very useful transformations for Markov processes. The time changed process can also be regarded as the trace of the original process on the…
The Lipkin Model in Many-Fermion System as an Example of the su(1,1) times su(1,1)-Algebraic Model
C. Providencia, J. da Providencia, Y. Tsue +1
Following the idea, recently, proposed by the present authors for the two-level pairing model, the Lipkin model is reexamined. It is a natural generalization of the method already…
A Note on the Two-Level Pairing Model Obeying the su(2)*su(2)-Algebra
C. Providencia, J. da Providencia, Y. Tsue +1
The two-level pairing model obeying the su(2)*su(2)-algebra, which was discussed in the previous paper, is re-formed in the framework of the su(1,1)*su(1,1)-algebra in the Schwinge…
A New Boson Realization of Two-Level Pairing Model in Many-Fermion System and its Classical Counterpart
C. Providencia, J. da Providencia, Y. Tsue +1
A new method for describing the two-level pairing model in a many-fermion system is presented. Basic idea comes from the Schwinger boson representation for the su(2) cross su(2)-al…