https://doi.org/10.1140/epjd/e2006-00182-3
Space-like coherent states of time-dependent Morse oscillator
Department of Theoretical Chemistry, Faculty of Chemistry A. Mickiewicz University of Poznań, ul. Grunwladzka 6, 60-780 Poznań, Poland
Corresponding author: a marcin@rovib.amu.edu.pl
Received:
10
December
2005
Published online:
5
August
2006
On the basis of the Feinberg-Horodecki quantal equation the space-like coherent states of a time-dependent Morse oscillator, minimizing the time-energy uncertainty relation are constructed. They reduce to the macroscopic states of the Gompertzian growth, in the limit of the anharmonicity constant xe↦1. The obtained results are useful for interpreting the formation of the specific growth patterns during crystallization process and biological growth.
PACS: 03.65.Fd – Algebraic methods / 05.60.-k – Transport processes / 81.10.Aj – Theory and models of crystal growth; physics of crystal growth, crystal morphology, and orientation / 89.75.-k – Complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
