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UID:0-1186@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20251110T133000

DTEND;TZID=Asia/Jerusalem:20251110T143000

DTSTAMP:20251103T115336Z

URL:https://aerospace.technion.ac.il/events/geometric-and-operatorial-pers
 pectives-in-hamiltonian-and-relativistic-dynamics/

SUMMARY:Colloquium: A Talk about Geometric and Operatorial Perspectives in 
 Hamiltonian and Relativistic Dynamics
DESCRIPTION:Lecturer:Vladimir Martinusi \n Faculty:The Stephen B. Klein Fac
 ulty of Aerospace Engineering\n Institute:Technion – Israel Institute of
  Technology\n Location:Auditorium 235\, The Faculty of Aerospace Engineeri
 ng\, Technion\n Zoom: https://technion.zoom.us/j/93549691766\n Abstract: \
 n\nYou are cordially invited to attend the First Aerospace Engineering Col
 loquium!\n\nThe Colloquium outlines a unified operatorial approach to anal
 ytical dynamics in which geometric and algebraic structures are treated on
  equal footing. Beginning with the Jacobi-metric formulation of conservati
 ve systems\, the Hamiltonian function is re-expressed through an alternati
 ve Legendre transformation that exposes hidden symmetries and separability
  patterns. Within this framework\, the Levi-Civita separability condition 
 is formulated as the vanishing of a five-argument operator constructed fro
 m nested Poisson brackets\, providing a compact criterion for integrabilit
 y.\n\nThe Deprit triangle of canonical perturbation theory is then interpr
 eted in terms of Toeplitz-like operator matrices\, clarifying the algebrai
 c mechanisms underlying canonical reduction. Metric-based quantities such 
 as the Einstein tensor and the Kretschmann scalar are presented as natural
  geometric invariants within the same operatorial language\, bridging clas
 sical and relativistic dynamics. Finally\, the framework is connected to a
 pplied astrodynamical problems through non-drift analytic conditions relev
 ant to large-aperture satellite formations.\n\nTogether\, these perspectiv
 es emphasize the emergence of an algebraic differential geometry unifying 
 Hamiltonian theory\, metric geometry\, and operator analysis into a single
  coherent formalism\n Details: \n 
CATEGORIES:Seminars,סמינרים
LOCATION:Auditorium 235\, The Faculty of Aerospace Engineering\, Technion

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