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[Fizinfo] MTA Wigner FK RMI Elméleti Osztály Szemináriuma


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  • From: Balog Janos <balog.janos AT wigner.mta.hu>
  • To: fizinfo AT lists.kfki.hu, rmkiusers AT lists.kfki.hu
  • Subject: [Fizinfo] MTA Wigner FK RMI Elméleti Osztály Szemináriuma
  • Date: Fri, 25 May 2018 13:17:38 +0200
  • Authentication-results: smtp0.kfki.hu (amavisd-new); dkim=pass (1024-bit key) reason="pass (just generated, assumed good)" header.d=wigner.mta.hu

MTA Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


Marco Modugno
(Florence)


"Covariant Quantum Mechanics"


címmel tartandó szemináriumára.

Kivonat:

"Covariant Quantum Mechanics” is a geometric approach to Quantum Mechanics on a curved spacetime equipped with a time fibring and a spacelike riemannian metric. This theory is aimed at implementing the principle of general relativity and the interpretation of gravity as a spacetime connection, in a spacelike riemannian framework (instead of a lorentzian framework), in order to stay close to standard Quantum Mechanics as far as possible.

The classical background of this theory is ruled by a “galileian” linear spacetime connection K , which yields a cosymplectic 2–form Ω of the phase space (replacing the more usual symplectic 2–form). The quantum framework is constituted by the quantum bundle Q over spacetime, the η –hermitian quantum metric h_η and the upper quantum connection Q ↑ .

We derive, in a covariant way, from the upper quantum connection (which lives on the upper quantum bundle, hence involves all possible classical observers) all fundamental objects of quantum dynamics, by following a criterion of “projectability” on spacetime, in order to get rid of observers. Thus, this method turns out to be a way to implement the covariance of the quantum theory. We can exhibit, in a covariant way, a distinguished family spe(J1E,IR) of phase functions called “special phase functions”, equipped with a Lie bracket (replacing the moreusual Poisson bracket), which generates the quantum symmetries and quantum operators.


Helye: MTA Wigner FK RMI III.ép. Tanácsterem
Ideje: 2018 május 28 hétfő de. 11:00



Szívesen látunk minden érdeklődőt.


Balog János



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