| The content of this book has been used for courses on the foundations of quantum physics in Geneva and other places. It is designed to serve as a textbook for graduate students.
The reader is presumed to have a certain background in mathematics, though the text is fairly self-contained and complete. All the basic notions are explicitly defined, and almost all theorems and lemmas are proved in detail. I have tried to be mathematically rigorous without being pedantic.
The first chapter of this book treats the classical case and is intended to familiarize the reader with the language of lattices, to prepare him for the following chapters. Certain notions from analytical mechanics are recalled, and a dictionary is created to allow the reader to change from the old, usual language to the new one; in doing so, observable, state, and symmetry are defined in the new language. |
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