Homework 1 Quantum Mechanics FKA081
by Emil Leeb-lundberg
September 11, 2015
Problem 1.7
Consider a ket space spanned by the eigenkets cfw_|a of a Hermitian operator A. There is no degeneracy
a) Prove that
a
(A a )
is the null operator.
(A a )|
a
(a a )|
Homework 2 Quantum Mechanics
by Emil Leeb-lundberg
19.09.2014
Problem 2.3
An electron is subject to a uniform, time-independent magnetic eld of strength B in the positive z-direction.
Q
At t = 0 the electron is known to be in an eigenstate of S n with ei
Homework Electrodynamics FUF085 HT14
by Emil Leeb-Lundberg
27/11/2014
Problem 1.1 Jackson
Use Gausss theorem
following:
S
S S
E n da =
q/0 if q lies inside S
0
if q lies outside S
[and (1.21)
S l
E d S = 0 if necessary] to prove the
a) Any excess charge p
Problem 5.14 Electrodynamics
by Emil Leeb-Lundberg 8702220792
Q Q
B = 0
Q Q
Q Q
Q
B = B M
,
Q
Q
Q
H =J =0
Q
Q
Q
Q Q
Q
H = M B = B H = H
Q
= M = 0 2M = 0
We need to solve the Laplace equation for the given geometry.
The end eects are neglected so we assume
Electrodynamics Homework
by Emil Leeb-Lundberg
November 5th, 2015
Jackson Problem 1.6
A simple capacitor is a device formed by two insulated conductors adjacent to each other. If equal and
opposite charges are placed on the conductors, there will be a cer
Electrodynamics Homework
by Emil Leeb-Lundberg
November 3rd, 2015
Jackson Problem 1.5
The time-averaged potential of a neutral hydrogen atom is given by
=
r
q er
1+
2
40 r
where q is the magnitude of the electronic charge, and 1 = a0/2, a0 being the Bohr
Electrodynamics Homework
by Emil Leeb-Lundberg
November 17th, 2015
Problem 2.3
A straight-line charge with constant linear charge density is located perpendicular to the xy plane in the
rst quadrant at (x0, y0). The intersecting planes x = 0, y 0, and y =
Electrodynamics Homework
by Emil Leeb-Lundberg
November 19th, 2015
Problem 2.26
The two dimensional region a, 0 , is bounded by conducting surfaces at = 0, = a, and = is
held at zero potential, as indicated in the sketch. At large the potential is determi
Electrodynamics Homework
by Emil Leeb-Lundberg
November 24th, 2015
leeblund@student.chalmers.se
Problem 4.5a
A localized charge density (x, y, z) is placed in an external electrostatic eld described by a potential
(0)(x, y, z). The external potential var
Electrodynamics Homework
by Emil Leeb-Lundberg
November 24th, 2015
leeblund@student.chalmers.se
Jackson Problem 5.6
A cylindrical conductor of radius a has a hole of radius b bored parallel to, and centered at a distance d from,
the cylinder axis (d + b <