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Quantum tunneling and information entropy in a double square well potential: The ammonia molecule

We study the implications of quantum tunneling on information entropy measures (Shannon and Fisher), disequilibrium and LMC complexity in a Double Square Well Potential (DSWP), using the ammonia molecule as a test bed. We also apply a similar analysis to the Infinite Square Well Potential (ISWP) in...

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Bibliographic Details
Published in:Physics letters. A 2014-01, Vol.378 (5-6), p.497-504
Main Authors: Tserkis, S.T., Moustakidis, Ch.C., Massen, S.E., Panos, C.P.
Format: Article
Language:English
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Summary:We study the implications of quantum tunneling on information entropy measures (Shannon and Fisher), disequilibrium and LMC complexity in a Double Square Well Potential (DSWP), using the ammonia molecule as a test bed. We also apply a similar analysis to the Infinite Square Well Potential (ISWP) in order to compare the corresponding results with a system where tunneling is absent. In particular, we show that contrary to the Heisenberg uncertainty product, information-theoretic tools provide a more sensitive analysis and manage to differentiate DSWP from ISWP case, formulating an empirical criterion whether the tunneling effect is present or not. •We study the implications of quantum tunneling on information measures.•Ammonia molecule is used as a test bed.•Information measures provide a more sensitive analysis than Heisenberg uncertainty.•An empirical criterion whether the tunneling effect is present or not is formulated.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2013.12.004