I'm looking for introductory materials that presents the logic of quantum mechanics originally developed by von Neumann and Birkhoff suited to someone who took a full introductory undergraduate course in QM. Material concerning quantum logic is hardly discussed in introductory texts, so I would appreciate some recommendations for students looking to familiarise themselves with this area. So far the only suitable reference I've found is "An introduction to Hilbert Space and Quantum Logic" by David W. Cohen.
I don't think that quantum logic is any useful. But if you want to learn about what it can say, look at the little book
- ''Quantum Logic'' by Karl Svozil (Springer, New York 1998).
It deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.
A more advanced book (probably beyond what you want) is
- J. Hamhalter, Quantum measure theory, Springer, New York 2013.