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Fisher information, delocalization and the semiclassical description of molecular rotation

S Curilef1, F Pennini1,2, A Plastino2 and G L Ferri3

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We discuss phase-space delocalization for the rigid rotor within a semiclassical context by recourse to the Husimi distributions of both the linear and the 3D-anisotropic instances. The Husimi function can be viewed in a variety of ways. In particular, we obtain it as the expectation value of the density operator in a suitable basis of coherent states. Our treatment is based upon the concomitant Fisher information measures. The pertinent Wehrl entropy is also investigated in the linear case.


PACS

31.15.xg Semiclassical methods

03.65.Sq Semiclassical theories and applications

33.20.Sn Rotational analysis

33.15.Mt Rotation, vibration, and vibration-rotation constants

MSC

81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)

81Q20 Semiclassical techniques including WKB and Maslov methods

81V55 Molecular physics (See also 92E10)

Subjects

Atomic and molecular physics

Computational physics

Quantum information and quantum mechanics

Dates

Issue 19 (11 May 2007)

Received 3 January 2007, in final form 22 March 2007

Published 24 April 2007



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