Phys 4800 Homework # 5
Suggested problems not to be turned in: Grifths 3.22, 3.23, 3.38
Problems to turn in:
The Hamiltonian for a 3-state system is represented by the matrix:
A
H = (1)
CDC!-I
ONO
N00
3 is another observable and is represented by the matr

Phys 4800 Homework # 6
Suggested problems not to be turned in: Grifths 3.6, 3.11, 3.12, 3.14
Problems to turn in:
The Hermitian conjugate Q7 of an operator Q is dened such that <Qr f I g) = < f ng> . For functions
ofx, this means +T<Qlf)'gdx= TfQAgdx.
(a)

Physics 4800
Fall 2012
Homework #11 solutions
(1) Griffiths 4.17
(a) The potential energy function is V r
GMm
r
(b) We can first note that for the hydrogen atom, we can write the Bohr radius as
2 1
a
m rV
Since V captures all the force-dependent aspects

Physics 4800
Fall 2012
Homework #10 solutions
(1) Griffiths 4.2 (b) and (c)
In class, we showed that solutions to the infinite cubical well will be of the form
3
2 2 n n
x, y, z sin x x sin y
a
a a
inside the box, and 0 outside.
n
y sin z z
a
(b)

Midterm 1
Intro to Quantum I, fall 2011
Name: _
(1) Consider the function space spanned by the basis vectors |
and |
, where k is
some constant.
(a) The derivative operator
is a linear operator in this function space. Find the matrix expression
which r