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UID:20250719T155823EDT-1569vmXcwv@132.216.98.100
DTSTAMP:20250719T195823Z
DESCRIPTION:Quantum n-body problem: generalized Euler coordinates (from J-L
  Lagrange to Figure Eight by Moore and Ter-Martirosyan\, then and today)\n
 \nThe potential of  the $n$-body problem\, both classical and quantum\, de
 pends only on the relative (mutual) distances between bodies. By generaliz
 ed Euler coordinates we mean relative distances and angles. Their advantag
 e over Jacobi coordinates is emphasized.\n	\n	The NEW IDEA is to study traje
 ctories in both classical\,  and eigenstates in quantum systems which depe
 nds on relative distances ALONE.We show how this study is equivalent to th
 e study of(i) the motion of a particle (quantum or classical) in curved sp
 ace of dimension $n(n-1)/2$or the study of(ii) the Euler-Arnold (quantum o
 r classical) - $sl(n(n-1)/2\, R)$ algebra top.The curved space of (i) has 
 a number of remarkable properties. In the 3-body case the {it de-Quantizat
 ion} of quantum Hamiltonian leads to a classical Hamiltonian which solves 
 a ~250-years old problem posed by Lagrange on  3-body planar motion.\n\n\n
 \n
DTSTART:20180216T210000Z
DTEND:20180216T220000Z
LOCATION:room 6254\, CA\, Pav. André-Aisenstadt
SUMMARY:Alexander Turbiner\, UNAM
URL:/mathstat/channels/event/alexander-turbiner-unam-2
 85077
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