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Article Dans Une Revue Journal of Geometry and Physics Année : 2018

Coherent states for the quantum complete rigid rotor

Résumé

Motivated by the possibility to describe orientations of quantum triaxial rigid rotors, such as molecules, with respect to both internal (body-fixed) and external (laboratory) frames, we go through the theory of coherent states and design the appropriate family of coherent states on T∗SO(3), the classical phase space of the freely rotating rigid body (the Euler top). We pay particular attention to the resolution of identity property in order to establish the explicit relation between the parameters of the coherent states and classical phase-space variables, actions and angles.
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Dates et versions

hal-04218562 , version 1 (22-11-2023)

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Daniele Fontanari, Dmitrií A Sadovskií. Coherent states for the quantum complete rigid rotor. Journal of Geometry and Physics, 2018, 129, pp.70-89. ⟨10.1016/j.geomphys.2018.02.021⟩. ⟨hal-04218562⟩
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