Lectures on Quantum Mechanics

By P. Dirac. 2001

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Observables in effective gravity (2005, background): “sequence, we learn from this formalism (see, e.g., [ 27 ,6]) that this dynamics should be”
Reality and the Role of the Wavefunction in Quantum Theory (2011, background): “of 3-geometries governed by a universal wave function [19]. In technical terms, we demanded that the vector ﬁeld on superspace deﬁning the relevant motion form a representation of the “Dirac algebra” [8], a sort of algebra, sort of corresponding to 4-diﬀeomorphism invariance. That puts very strong c”
The bi-Hamiltonian structure of the short pulse equation (2006, methodology): “Using the Dirac’s theory of constraints [ 10 ] we can obtain the hamiltonian and the hamiltonian”
Flipped spinfoam vertex and loop gravity (2007, background): “the fact that the simplicity constraints are imposed as strong operator equations (Cnψ = 0). However, these constraints are second class and it is well known that imposing second class constraints strongly may lead to the incorrect elimination of physical degrees of freedom [ 19 ].”
Relativity without relativity (2000, methodology): “The analysis of General Relativity (GR) as a Hamiltonian theory was successfully carried out by Dirac [3] and by Arnowitt, Deser, and Misner (ADM) [5] 40 years ago.”