Nilpotent Morse algebra and time evolution of certain associated coherent states
May 25, 2018 Β· Declared Dead Β· π arXiv.org
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Authors
A. Belfakir, Y. Hassouni
arXiv ID
1805.10400
Category
quant-ph: Quantum Computing
Cross-listed
cs.IT
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
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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