JCP321H5 Lecture Notes - Lecture 6: Quantum Indeterminacy, Hilbert Space, Wave Function
Document Summary
The expression of expected value of an observable quantity as a dot product. As q is real, this holds: if the above operator describes a real number (like q), then the following property holds: for all f and g operators with such a property are called. They represent observable quantities (eg, position, momentum, etc). The set of square interchangeable functions in an specified interval in a vector space. The inner product (3d generalization of the dot product) is defined like so: if f and g are square interchangeable, How does it work? then the inner product is guaranteed to exist. More importantly, we can take the inner product of f with itself and get this: the best part is that this inner product is both real and positive, which is what we need for normalization. It allows us to normalize the wave function.
