Detlev Buchholz (U Göttingen): Classical dynamics, arrow of time, and the origin of Heisenberg's commutation relations

Classical dynamics, arrow of time, and the origin of Heisenberg's commutation relations

Lecture by Prof. Detlev Buchholz (University of Göttingen)

October 12, 2021, 2 p.m.

Abstract:

Based on the assumption that mechanical systems can be described by Lagrangians and time progresses in a fixed direction, a dynamical C*-algebra is presented for nonrelativistic particles at atomic scales. 
This algebra is based on the concept of operations and relies exclusively on classical concepts. Nevertheless, it is inherently non-commutative. Without presupposing any quantization scheme, the Heisenberg 
commutation relations for position and velocity measurements are derived from it. Hilbert space representations of the algebra lead to the conventional framework of quantum mechanics, providing a new look on its foundations. 
(Joint work with Klaus Fredenhagen).

ESI Boltzmann lecture hall

Announcement (pdf)

Oct. 12, 2021
14:00 — 15:00
Detlev Buchholz (U Göttingen)

Classical dynamics, arrow of time, and the origin of Heisenberg's commutation relations

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At a glance
Type:
Lecture
When:
Oct. 12, 2021, 14:00 — 15:00
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Jakob Yngvason (U of Vienna)