BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Florio Ciaglia (MPI Leipzig)
DTSTART:20210212T170000Z
DTEND:20210212T180000Z
DTSTAMP:20260423T052955Z
UID:TQFT/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/29/">A 
 groupoid-based perspective on quantum mechanics</a>\nby Florio Ciaglia (MP
 I Leipzig) as part of Topological Quantum Field Theory Club (IST\, Lisbon)
 \n\n\nAbstract\n<p>In this talk\, I will expound a point of view on the th
 eoretical investigation of the foundations and mathematical formalism of q
 uantum mechanics which is based on Schwinger’s “Symbolism of atomic me
 asurement” [8] on the physical side\, and on the notion of groupoid on t
 he mathematical side. I will start by reviewing the “development” of q
 uantum mechanics and its formalism starting from Schrödinger’s wave mec
 hanics\, passing through the Hilbert space quantum mechanics\, and arrivin
 g at the $C^∗$-algebraic formulation of quantum mechanics in order to gi
 ve an intuitive idea of what is the “place” of the groupoid-based appr
 oach to quantum theories presented here. Then\, after (what I hope will be
 ) a highly digestible introduction to the notion of groupoid\, I will revi
 ew two historic experimental instances in which the shadow of the structur
 e of groupoid may be glimpsed\, namely\, the Ritz-Rydberg combination prin
 ciple\, and the Stern-Gerlach experiment. The last part of the talk will b
 e devoted to building a bridge between the groupoid-based approach to quan
 tum mechanics and the more familiar $C^∗$-algebraic one by analysing how
  to obtain a (possibly) non-commutative algebra out of a given groupoid. T
 wo relevant examples will be discussed\, and some comment on future direct
 ions (e.g.\, the composition of systems) will close the talk. The material
  presented is part of an ongoing project developed together with Dr. F. Di
  Cosmo\, Prof. A. Ibort\, and Prof. G. Marmo. In particular\, the discrete
 -countable theory has already appeared in [1\, 2\, 3\, 4\, 5\, 6\, 7].</p>
 \n<p>References</p>\n<p>[1] F. M. Ciaglia\, F. Di Cosmo\, A. Ibort\, and G
 . Marmo. Evolution of Classical and Quantum States in the  Groupoid Pictur
 e of Quantum Mechanics. Entropy\, 11(22):1292 – 18\, 2020.  </p>\n<p>[2]
  F. M. Ciaglia\, F. Di Cosmo\, A. Ibort\, and G. Marmo. Schwinger’s Pict
 ure of Quantum Mechanics. International Journal of Geometric Methods in Mo
 dern Physics\, 17(04):2050054 (14)\, 2020.  </p>\n<p>[3] F. M. Ciaglia\, F
 . Di Cosmo\, A. Ibort\, and G. Marmo. Schwinger’s Picture of Quantum Mec
 hanics IV: Composition and independence. International Journal of Geometri
 c Methods in Modern Physics\, 17(04):2050058 (34)\, 2020.  </p>\n<p>[4] F.
  M. Ciaglia\, A. Ibort\, and G. Marmo. A gentle introduction to Schwinger
 ’s formulation of quantum  mechanics: the groupoid picture. Modern Physi
 cs Letters A\, 33(20):1850122–8\, 2018.  </p>\n<p>[5] F. M. Ciaglia\, A.
  Ibort\, and G. Marmo. Schwinger’s Picture of Quantum Mechanics I: Group
 oids. International Journal of Geometric Methods in Modern Physics\, 16(08
 ):1950119 (31)\, 2019.  </p>\n<p>[6] F. M. Ciaglia\, A. Ibort\, and G. Mar
 mo. Schwinger’s Picture of Quantum Mechanics II: Algebras and Observable
 s. International Journal of Geometric Methods in Modern Physics\, 16(09):1
 950136 (32)\, 2019.  </p>\n<p>[7] F. M. Ciaglia\, A. Ibort\, and G. Marmo.
  Schwinger’s Picture of Quantum Mechanics III: The Statistical Interpret
 ation. International Journal of Geometric Methods in Modern Physics\, 16(1
 1):1950165 (37)\, 2019. </p>\n<p>[8] J. Schwinger. Quantum Mechanics\, Sym
 bolism of Atomic Measurements. Springer-Verlag\, Berlin\, 2001. </p>\n
LOCATION:https://researchseminars.org/talk/TQFT/29/
END:VEVENT
END:VCALENDAR