Born-Jordan Quantization: Theory and Applications - volume 182

This book presents a comprehensive mathematical study ofthe operators behind the Born-Jordan quantization scheme.

The Schrdinger andHeisenberg pictures of quantum mechanics are equivalent only if the Born-Jordanscheme is used.

Thus, Born-Jordan quantization provides the only physicallyconsistent quantization scheme, as opposed to the Weyl quantization commonlyused by physicists.

In this book we develop Born-Jordan quantization from anoperator-theoretical point of view, and analyze in depth the conceptualdifferences between the two schemes.

We discuss various physically motivatedapproaches, in particular the Feynman-integral point of view.

One important andintriguing feature of Born-Jordan quantization is that it is not one-to-one:there are infinitely many classical observables whose quantization is zero.