Mathematics For Quantum Mechanics

The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.).

Quantum Mechanics - An Introduction lays the foundations for the rest of the course on advanced quantum mechanics and field theory. Starting from black-body radiation, the photoelectric effect, and wave-particle duality, Greiner goes on to discuss the uncertainty relations, spin, and many-body systems; he includes applications to the hydrogen atom and the Stern-Gerlach and Einstein-de Haas experiments.

The treatment of time in quantum mechanics continues to be a key challenge in the foundation of quantum theory. This book follows Time in Quantum Mechanics—Volume 1 and is the second volume to detail the problems, attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory. It touches upon numerous related issues as well.

This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be constructed, evaluated, analyzed, and hopefully understood at a deeper level than what is possible with more abstract representations.

This work examines the beautiful and important physical concept known as the 'geometric phase,' bringing together different physical phenomena under a unified mathematical and physical scheme.