Beyond the Schwinger boson representation of the su(2)-algebra. II -- Some theoretical features of new boson representation and connections to the other boson representations

TL;DR

This paper explores a new boson representation of the su(2)-algebra, demonstrating its algebraic properties and connections to existing representations, with implications for theoretical physics.

Contribution

It introduces and analyzes a novel boson representation of su(2), revealing its algebraic structure and relationships to other boson representations.

Findings

The new representation satisfies the su(2)-algebra in a specific subspace.

Connections established between the new and existing boson representations.

Discussion of theoretical implications and related problems.

Abstract

Concerning the new boson representation presented in Part I, it is proved that this representation obeys the su(2)-algebra in a certain subspace in the whole boson space constructed by the Schwinger boson representation of the su(1,1)-algebra. Some other problems related to this representation are discussed.