Beyond the Schwinger boson representation of the su(2)-algebra

DOI10.1093/PTEP/PTV003zbMATH Open1348.81263arXiv1409.3626OpenAlexW2080656135MaRDI QIDQ2831469

João da Providência, Yasuhiko Tsue, Masatoshi Yamamura, Constança Providência

Publication date: 10 November 2016

Published in: Unnamed Author (Search for Journal in Brave)

Abstract: With the use of two kinds of boson operators, a new boson representation of the su(2)-algebra is proposed. The basic idea comes from the pseudo su(1,1)-algebra recently given by the present authors. It forms a striking contrast to the Schwinger boson representation of the su(2)-algebra which is also based on two kinds of bosons. This representation may be suitable for describing time-dependence of the system interacting with the external environment in the framework of the thermo field dynamics formalism, i.e., the phase space doubling. Further, several deformations related to the su(2)-algebra in this boson representation are discussed. On the basis of these deformed algebra, various types of time-evolution of a simple boson system are investigated.

Full work available at URL: https://arxiv.org/abs/1409.3626

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05)