Work

Algebraic analysis of the two-dimensional Higgs oscillator and nonlinear coherent states

Year: 2025

Type: article

Abstract: The two-dimensional Higgs oscillator, defined on the surface of a sphere S 2 , can be mapped via a stereographic projection to a conformally transformed harmonic oscillator on the complex plane. Its quantum mechanical exact solvability provides the foundation for subsequent analyses, including the study of dual SUSY partners and the construction of continuous-variable quantum states. Due to the non-standard form of its Hamiltonian, factorization is complex, and the corresponding ladder operators are deformed. Furthermore, algebraic analysis reveals that the system satisfies the su(1, 1) algebra, which allows for the construction of Perelomov and Barut-Girardello nonlinear coherent states.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ae06da

Authors: Chithiika Ruby V, Lakshmanan M

Institution: SRM Institute of Science and Technology

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,400

Funder: Department of Science and Technology, Ministry of Science and Technology, India