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UID:20250717T184516EDT-2616zeFdZm@132.216.98.100
DTSTAMP:20250717T224516Z
DESCRIPTION:Title:Time-dependent exactly solvable potentials generated by D
 arboux and point transformations.\n\nAbstract:The appropriate form-preserv
 ing point transformation is introduced to deform a given stationary Schröd
 inger equation into one with a time-dependent potential. The solutions for
  the new model are inherited from the stationary system and form an orthog
 onal set. The latter is guaranteed from the preservation of the inner prod
 uct. The constants of motion (invariant operators) are extracted in a stra
 ightforward form by simply performing the appropriate mapping and exploiti
 ng the preservation of the first integrals available in the initial model. 
 In particular\, it is shown that the parametric oscillator can be obtained
  as a deformation of the harmonic oscillator. Lastly\, a new family of tim
 e-dependent potentials is generated after combining the Darboux and point 
 transformations\, leading to a generalization of the Abraham-Moses-Mielnik
  potential.\n
DTSTART:20191001T193000Z
DTEND:20191001T203000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt
SUMMARY:Kevin Zelaya\, CRM
URL:/mathstat/channels/event/kevin-zelaya-crm-301055
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