Oscillator model on Lie-algebraically deformed nonrelativistic space-time
Marcin Daszkiewicz, Cezary J. Walczyk
TL;DR
This paper introduces and analyzes a classical and quantum oscillator model on a Lie-algebraically deformed nonrelativistic space-time, exploring its equations of motion and energy spectrum through numerical methods.
Contribution
It presents the first detailed study of oscillator models on Lie-algebraically deformed nonrelativistic space-time, including numerical analysis of dynamics and energy spectra.
Findings
Numerical solutions of equations of motion provided.
Time-dependent energy spectrum characterized.
Insights into effects of space-time deformation on oscillators.
Abstract
The classical and quantum oscillator model on Lie-algebraically deformed nonrelativistic space-time is introduced and analyzed. The corresponding equations of motions are studied using mostly numerical methods. The time-dependent energy spectrum is presented as well.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Non-Hermitian Physics · Black Holes and Theoretical Physics