PHYSICS APPLIED TO ANAESTHESIA I: SOME MATHEMATICAL CONCEPTS

Physics Applied to Anaesthesia

A Pedestrian Introduction to the Mathematical Concepts of Quantum Physics

These notes offer a basic introduction to the primary mathematical concepts of quantum physics, and their physical significance, from the operator and Hilbert space point of view, highlighting more what are essentially the abstract algebraic aspects of quantisation in contrast to more standard treatments of such issues, while also bridging towards the path integral formulation of quantisation. ...

Some fundamental Physics concepts in PffP

Prof. Muller teaches “Physics for future Presidents” by the “immersion method”: Present many examples which illustrate important physical concepts, and thus become familiar with the concepts. This is similar to the approach by which we very efficiently learn languages: Just get totally immersed into the language, slowly begin to speak it (maybe by copying some patterns that you begin to recogni...

On some spectral problems of mathematical physics

The article contains a brief survey of some spectral problems of mathematical physics that have been arising recently in optics, mesoscopic systems, quantum chaos, and other areas. In particular, problems of photonic crystal theory, waveguides, and quantum graphs are addressed. This text is a modified version of the lectures delivered at the Pan-American Advanced Studies Institute (PASI) on Par...

Some Beautiful Equations of Mathematical Physics

The basic ideas and the important role of gauge principles in modern elementary particle physics are outlined. There are three theoretically consistent gauge principles in quantum field theory: the spin-1 gauge principle of electromagnetism and the standard model, the spin-2 gauge principle of general relativity, and the spin-3/2 gauge principle of supergravity. Dirac Lecture delivered at the I...