Darboux transformation of coherent states
V. G. Bagrov, B. F. Samsonov, L. A. Shekoyan
TL;DR
This paper demonstrates that applying Darboux transformation to free particle coherent states results in new states that resemble coherent states of soliton-like potentials, linking quantum states and soliton theory.
Contribution
It introduces a novel method to generate soliton-like potential coherent states from free particle states using Darboux transformation.
Findings
Darboux transformation produces soliton-like potential coherent states.
New states retain coherence properties similar to original states.
Method bridges quantum coherent states and soliton solutions.
Abstract
It is proved that the Darboux transformation of the system of coherent states of a free particle leads to the states that may be treated as coherent states of soliton-like potentials.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Molecular spectroscopy and chirality