Chapter 2 Flashcards
1
Q
What are the properties of an inner product
A
2
Q
What is the formula for the matrix elements of an operator?
A
3
Q
What do Hermitian matrices represent
A
Obserables
4
Q
Give the formula for the probability of an outcome
A
5
Q
Give the commutator identities
A
6
Q
What does a unitary operator mean
A
7
Q
What can any unitary operator be written as
A
e^{iH} H hermitian
8
Q
Give the projective measurement formula
A
9
Q
Give probability of measurement outcome in terms of projection operator
A
10
Q
What is the square of a projection operator
A
P
11
Q
Eigenvectors with non degenerate eigenvalues are
A
Orthogonal
12
Q
If A and B are two commuting Hermitian Operator then
A
there
exists a common eigenbasis or a common eigenspace decomposition
13
Q
What is spectral decomposition
A
14
Q
What is a function of an operator
A
15
Q
A
