This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories.

Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state ...

Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.

This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance.

Focusing almost exclusively on interest rates and coupon bonds, this book does not employ stochastic calculus - the bedrock of the present day mathematical finance - for any of the derivations.

The conditions of Alvarez-Gaume and Witten for transversality of Feynman diagrams with loops of chiral spin 1/2, schiral spin 3/2 or selfdual antisymmetric tensors, coupled to external gravitons and Yang-Mills bosons, are dirived.

Answering these and a myriad of other puzzles of nature, this richly illustrated volume shows how the simplest questions can lead us through a chain of reasoning that explains some of the most fascinating principles of science.

Presenting a completely independent approach, this book applies the mathematical and conceptual formalism of quantum mechanics and quantum field theory (with particular emphasis on the path integral) to the theory of options and to the ...