6. Continuous Variables (I)

In this lecture, I’ve ended the fomulation of Quantum Theory of a quantum system by formulating the quantum mixtures using density matrix and investing its properties (and show how it is evaluated in practice). Then, I’ve began ``Continuous Variables”; This is not a complete, mathematically complete investigation of continuous spectra from mathematical zero point. But we mention some common issues appear (with physical consequence) if one ignores mathematical rigor. In this lecture, I’ve shown some difficulties of generalization of finite-dimensional matrices to infinite dimensions and discussed strong and weak convergence.