Resurgent deformation quantisation

Deformation Quantisation of Gravity

We study the deformation (Moyal) quantisation of gravity in both the ADM and the Ashtekar approach. It is shown, that both can be treated, but lead to anomalies. The anomaly in the case of Ashtekar variables, however, is merely a central extension of the constraint algebra, which can be “lifted”. Finally we write down the equations defining physical states and comment on their physical content....

Deformation Quantisation of Constrained Systems

We study the deformation quantisation (Moyal quantisation) of general constrained Hamiltonian systems. It is shown how second class constraints can be turned into first class quantum constraints. This is illustrated by the O(N) non-linear σ-model. Some new light is also shed on the Dirac bracket. Furthermore, it is shown how classical constraints not in involution with the classical Hamiltonian...

Semiclassical Methods of Deformation Quantisation in Transport Theory

Moritz Kaposi--Resurgent Dermatologist.

M Kaposi (1837-1902) was born to Jewish family in Hungary, originally his surname was Cohen, but with his conversion to Catholic faith, he changed it to Kaposi in 1871, in reference to his town of birth. Kaposi studied at the University of Vienna, where he received his medical degree in 1861. Kaposi married Hebra’s daughter Martha Hebra. Together with his mentor Ferdinand Von Hebra he authored ...

Wigner Functions in Curved Spacetimes and Deformation Quantisation of Constrained Systems

We first generalise the standard Wigner function to Dirac fermions in curved space-times. Secondly, we turn to the Moyal quantisation of systems with constraints. Gravity is used as an example. Probably the greatest unsolved problem of modern theoretical physics is the interplay between quantum theory and gravity (as described by general rela-tivity). The simplest " subproblem " is the study of...