Quantum and Stochastic Mathematical Physics

Supersymmetry and Supergroups in Stochastic Quantum Physics

Supersymmetry was first applied to high energy physics. In the early eighties, it found a second and very fruitful field of applications in stochastic quantum physics. This relates to Random Matrix Theory, the topic I focus on in this contribution. I review several aspects of more mathematical interest, in particular, supersymmetric extensions of the Itzykson– Zuber and the Berezin–Karpelevich ...

Quantum Gravity: a Mathematical Physics Perspective

1. Introduction The problem of quantum gravity is an old one and over the course of time several distinct lines of thought have evolved. However, for several decades, there was very little communication between the two main communities in this area: particle physicists and gravitation theorists. Indeed, there was a lack of agreement on even what the key problems are. By and large, particle phys...

Probability in physics: stochastic, statistical, quantum

I review the role of probability in contemporary physics and the origin of probabilistic time asymmetry, beginning with the pre-quantum case (both stochastic mechanics and classical statistical mechanics) but concentrating on quantum theory. I argue that quantum mechanics radically changes the pre-quantum situation and that the philosophical nature of objective probability in physics, and of pr...

Quantum Physics: A Case for Anti-Realism?

quantum physics: a case for anti-realism?

the aim of the present paper is to sbo» that anti-realism in science, 1vhich has a1;guab/y become more fashionable in recentyears, contrary to tuha: its proponents assert, cannot make use of quantum mechanics and its impressiue achievements as a frump card in justifying its claims. i will argue that scientific anti-realism far from providing scientific communiry with a progressive methodologica...