> On 10 May 2020, at 13:45, Philip Thrift <cloudver...@gmail.com> wrote: > > > > > cf. > https://www.researchgate.net/publication/325907723_A_gentle_introduction_to_Schwinger's_formulation_of_quantum_mechanics_The_groupoid_picture > > <https://www.researchgate.net/publication/325907723_A_gentle_introduction_to_Schwinger's_formulation_of_quantum_mechanics_The_groupoid_picture> > > > > > Schwinger’s picture of Quantum Mechanics > https://arxiv.org/pdf/2002.09326.pdf <https://arxiv.org/pdf/2002.09326.pdf> > >
Those are good papers. (I am not entirely sure why you refer to them, but Swinger is very good on this). When I teach quantum mechanics, I use an informal version of this, based on a textbook by Thomson (but I failed to find it right now). This helps to understand than both complex numbers and three dimension marry well together to make the quantum weirdness hard to avoid. It provides short path to the violation of Bell’s inequality. Bruno > In this paper we will present the main features of what can be called > Schwinger's foundational approach to Quantum Mechanics. The basic ingredients > of this formulation are the selective measurements, whose algebraic > composition rules define a mathematical structure called groupoid, which is > associated with any physical system. After the introduction of the basic > axioms of a groupoid, the concepts of observables and states, statistical > interpretation and evolution are derived. An example is finally introduced to > support the theoretical description of this approach. > > Finally, we will introduce a quantum measure associated with the state ρ > > First, we realize that the state ρ on C∗(G) defines a decoherence functional > D on the σ-algebra Σ of events of the groupoid G > > We define a quantum measure µ on Σ > > ... > > > > @philipthrift > Click > > > > @philipthrift > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to everything-list+unsubscr...@googlegroups.com > <mailto:everything-list+unsubscr...@googlegroups.com>. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/703ab46d-1aaf-4b65-a08a-c3541a11b4c0%40googlegroups.com > > <https://groups.google.com/d/msgid/everything-list/703ab46d-1aaf-4b65-a08a-c3541a11b4c0%40googlegroups.com?utm_medium=email&utm_source=footer>. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/B0975693-4E45-40CD-8820-FE2C07EDCC7A%40ulb.ac.be.
