Multichannel quantum defect theory: a quantum Poincaré map

F. Leyvraz (1) , R. A. Méndez-Sánchez (1) , M. Lombardi (2) , T. H. Seligman (1)

1 CiC AC - Centro Internacional de Ciencias [Mexico]
2 LSP - Laboratoire de Spectrométrie Physique

The multichannel quantum defect theory (MQDT) can be reinterpreted as a quantum Poincaré map in representation of angular momentum. This has two important implications: we have a paradigm of a true quantum Poincaré map without semi-classical input and we get an entirely new insight into the significance of MQDT.

Domaines: Physique Quantique [quant-ph]; Dynamique Chaotique [nlin.CD]

F. Leyvraz, R. A. Méndez-Sánchez, M. Lombardi, T. H. Seligman. Multichannel quantum defect theory: a quantum Poincaré map. Physics Letters A, 2000, 268, pp.309-314. ⟨10.1016/S0375-9601(00)00207-3⟩. ⟨hal-00961331⟩