Nilpotent Morse algebra and time evolution of certain associated coherent states

2018/05/25 by Abdessamad Belfakir, Belfakir, A., Y. Hassouni +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1805.10400

openalex publication_date 2018/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide the time evolutions of the linear and nonlinear coherent states for several systems characterized by different energy spectra, and we identify the regions in the parameter space where these systems behave closer to the classical systems. The Morse system is algebraically found within the frame of generalized Heisenberg algebra(GHA). We demonstrate that this system is described by a nilpotency condition. Then, we propose a construction of coherent states for the Morse oscillator.

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