Applications of Polynomial Algebras to Deformed Oscillator
Ci Song, Fu-Lin Zhang, Jing-Ling Chen
TL;DR
This paper explores how polynomial algebra, a deformed SU(2) algebra, can be used to solve various deformed oscillators and identifies physical systems associated with different algebraic orders.
Contribution
It introduces polynomial algebra as a novel method for solving deformed oscillators and links these algebras to specific physical systems.
Findings
Polynomial algebra effectively solves deformed oscillators.
Different maximal orders of polynomial algebra correspond to distinct physical systems.
The approach broadens understanding of algebraic structures in quantum physics.
Abstract
The polynomial algebra is a deformed SU(2) algebra. Here, we use polynomial algebra as a method to solve a series of deformed oscillators. Meanwhile, we find a series of physics systems corresponding with polynomial algebra with different maximal order.
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