Gadre, Shridhar R. (1984) Information entropy and Thomas-Fermi theory Physical Review A, 30 (1). pp. 620-621. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v30/i1/p620_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.30.620
Abstract
Informational entropies Sρ =-∫ρlnρdr→ and Sγ =-∫γlnγdp→ have been computed from neutralatom Thomas-Fermi coordinate-space density γ and momentum density ρ. These entropies turn out to be Sρ≃N(5.59-2lnN) and Sγ≃N(1.06+lnN) leading to Sρ +Sγ ≃N(6.65-lnN), strikingly similar in form to the rigorous bound Sρ +Sγ >=3N(1+lnpπ)-2NlnN due to Bialynicki-Birula and Mycielski. It is conjectured that the informational entropies for atoms may be well represented by S≃N(α+β lnN), α and β , being universal constants.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 10368 |
| Deposited On: | 04 Nov 2010 05:53 |
| Last Modified: | 31 May 2011 11:01 |
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