Work

The relation between the symplectic group Sp(4,R) and its Lie algebra: Applications to polymer quantum mechanics

Year: 2021

Type: article

Abstract: In this paper, we show the relation between $sp(4,\mathbb{R})$, the Lie algebra of the symplectic group, and the elements of $Sp(4,\mathbb{R})$. We use this result to obtain some special cases of symplectic matrices relevant to the study of squeezed states. In this regard, we provide some applications in quantum mechanics and analyze the squeezed polymer states obtained from the polymer representation of the symplectic group. Remarkably, the polymer's dispersions are the same as those obtained for the squeezed states in the usual representation.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.104.126006

Authors: Guillermo Chacón-Acosta, Angel Garcia-Chung

Institution: Universidad Autónoma Metropolitana

Language: Latvian

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Universidad Panamericana

OpenAlex ID: W3216471176

FWCI: 0.099

Cites: 52

Cited by: 3

Related to: 10