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Start Over Author "Andreas Fring" Journal acta polytechnica
2 results on '"Andreas Fring"'

1. The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties

Author

Sanjib Dey and Andreas Fring

Subjects
noncommutative space, non-Hermitian operators, 2D-systems, Engineering (General). Civil engineering (General), TA1-2040
Abstract

The two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms of a flat noncommutative space and employ it to study the eigenvalue spectrum for the harmonic oscillator on this space. The perturbative expression for the eigenenergy indicates that the model might possess an exceptional point at which the spectrum becomes complex and its PT-symmetry is spontaneously broken.

Published
2013

2. The Two-dimensional Harmonic Oscillator on a Noncommutative Space with Minimal Uncertainties

Author

Andreas Fring and Sanjib Dey

Subjects
High Energy Physics - Theory, Physics, Quantum Physics, Spontaneous symmetry breaking, Spectrum (functional analysis), General Engineering, FOS: Physical sciences, non-Hermitian operators, Mathematical Physics (math-ph), Expression (computer science), Space (mathematics), Noncommutative geometry, High Energy Physics - Theory (hep-th), lcsh:TA1-2040, 2D-systems, noncommutative space, Quantum Physics (quant-ph), lcsh:Engineering (General). Civil engineering (General), Representation (mathematics), QC, Mathematical Physics, Eigenvalues and eigenvectors, Harmonic oscillator, Mathematical physics
Abstract

The two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms of a flat noncommutative space and employ it to study the eigenvalue spectrum for the harmonic oscillator on this space. The perturbative expression for the eigenenergy indicates that the model might possess an exceptional point at which the spectrum becomes complex and its PT-symmetry is spontaneously broken., 4 pages, contribution to proceedings of "Analytic and algebraic methods in physics X", Prague

Published
2013
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