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SUMMARY:The Schrödinger equation for a spherically symmetric system\, its
  structure\, and the interpretation of its solutions.
DTSTART;VALUE=DATE-TIME:20241022T140500Z
DTEND;VALUE=DATE-TIME:20241022T160000Z
DTSTAMP;VALUE=DATE-TIME:20260422T234014Z
UID:indico-contribution-4152@cern.ch
DESCRIPTION:Speakers: Roger  Ayala Oña (Southern Federal University)\nThe
  Wheeler–DeWitt geometrodynamics\, which was the first attempt to develo
 p a quantum theory of gravity\, faces some problems\, such as the problem 
 of time or the interpretation of the wave function. In this work\, as an a
 lternative to Wheeler–DeWitt quantum geometrodynamics\, we consider the 
 extended phase space formalism. Within this framework\, one can derive the
  Schrödinger equation\, which describes the evolution of a physical objec
 t over time and incorporates gauge degrees of freedom. This work generaliz
 es the existing quantization method for models with a finite number of deg
 rees of freedom\, as proposed by Cheng\, and enables us to derive the Schr
 ödinger equation for systems described by field functions. As a result of
  our research\, the integro-differential Schrödinger equation for a centr
 ally symmetric model was obtained\, its structure was studied\, and its so
 lution was interpreted. Additionally\, the analytic solutions of the Wheel
 er-DeWitt equation and the Schrödinger equation were compared in the gaug
 e condition N=1/V\, corresponding to the Schwarzschild solution\, and in t
 he gauge condition N=1\, corresponding to the Tolman solution.\n\nhttps://
 indico.particle.mephi.ru/event/436/contributions/4152/
LOCATION: Alexeevskiy hall
URL:https://indico.particle.mephi.ru/event/436/contributions/4152/
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