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UID:20250708T082611EDT-5781c7rC9j@132.216.98.100
DTSTAMP:20250708T122611Z
DESCRIPTION:\n	Title: Correspondence between ladder functions and operators 
 for classical and quantum exactly solvable systems\n\nAbstract: In recent 
 years\, ladder functions have been defined in the context of the Hamiltoni
 an formalism of classical mechanics\, and a strong correspondence has been
  observed for many systems between the classical and quantum objects in te
 rms of their functional dependence on the canonical variables x and p. Ind
 eed\, ladder functions were constructed for a class of simple solvable cla
 ssical systems and their form computed by analogy with the form of the cor
 responding well-known quantum ladder operators. This raised the question a
 s to whether the analogy could be further pursued for more elaborated syst
 ems. In particular\, the ladder functions of the one-dimensional classical
  and quantum systems known as Rosen-Morse were missing in preceding approa
 ches. We discovered that the classical ladder functions are considerably m
 ore elaborate. We will thus discuss the procedure to get them as some prod
 uct of factor functions. We also extend this procedure to the quantum case
  in order to find the corresponding ladder operators.\n
DTSTART:20191119T203000Z
DTEND:20191119T213000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Véronique Hussin (Université de Montréal\, DMS et CRM)
URL:/mathstat/channels/event/veronique-hussin-universi
 te-de-montreal-dms-et-crm-302629
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