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A 'non-classical' information theory of spectral line shape

J G Powles and B Carazza

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Information theory is used to obtain the most probable spectral line shape given only a knowledge of a finite number of moments of the line. The analysis of Powles and Carazza is extended to a consideration of non-classical information theory. This gives the possibility of a Lorentzian line shape which was not previously available. It is shown, in particular, that the common observation of a line shape narrowing from Gaussian to Lorentzian is simply explained and can be related to a change in physical parameters. The method is applied to problems in magnetic resonance but is of wide validity.


PACS

05.30.-d Quantum statistical mechanics

MSC

82B10 Quantum equilibrium statistical mechanics (general)

Subjects

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Dates

Issue 4 (1 July 1970)



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