chapter 7
The Mathematical Structure of Quantum Mechanics III
In this chapter we continue our exploration of the mathematical tools of quantum mechanics. In particular we find how to represent operators in a different basis.
CHAPTER OBJECTIVES
In this chapter we finish our discussion of the mathematical theory underlying quantum mechanics. Specifically we will learn the following
• How to form a basis from the eigenvectors of a Hermitian matrix
• Unitary transformations
• Deriving the uncertainty relation
• Projection operators
• Tensor product spaces
Change of Basis and Unitary Transformations
In this section we first consider the question ...
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