# Dirac Notation for a Quantum State of a System

In the dirac notation for a quantum state of a system, an eigenstate wave function u_n is replaced by the vector |n>, and a general state wave function (see attached)

a) Translate the following mathematical statements to the corresponding forms n wave mechanics: i) <n|m> = (see attached), where A is an hermitian operator.

b) By considering the expansion of (see attached) in terms of |n>, derive the following result which expresses the completeness property of the set of eigenstates.

(See attached)

© BrainMass Inc. brainmass.com October 9, 2019, 6:00 pm ad1c9bdddfhttps://brainmass.com/physics/quantum-physics/dirac-notation-for-a-quantum-state-of-a-system-75122

#### Solution Summary

This Solution contains calculations to aid you in understanding the Solution to this question.

$2.19