Work

Spin noncommutativity and the three-dimensional harmonic oscillator

Year: 2012

Type: article

Abstract: A three-dimensional harmonic oscillator with spin noncommutativity in the phase space is considered. The system has a regular symplectic structure and by using supersymmetric quantum mechanics techniques, the ground state is calculated exactly. We find that this state is infinitely degenerate and it has explicit spontaneous broken symmetry. Analyzing the Heisenberg equations, we show that the total angular momentum is conserved.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.85.025009

Authors: H. Falomir, J. Gamboa, M. Loewe, F. Méndez, J. C. Rojas

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Física La Plata, Universidad Nacional de La Plata, Universidad de Santiago de Chile, Pontificia Universidad Católica de Chile, University of Cape Town, Universidad Católica del Norte

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2048947306

FWCI: 0.972

Cites: 37

Cited by: 11

Related to: 10