Assignment 9:Special Relativity"
Due Monday 14th May
!
1. A particle moves uniformly in frame S with velocity u, making an angle
with the x-axis. If is the angle with the x-axis in the usual second
f
Assignment 8: Special Relativity
Due Monday 7th May
1.
Show that U2 = c2
2. Show that the 4-velocity and the 4-acceleration are orthogonal
(1 mark)
(2 marks)
3. Use the fact that the 4-velocity
Assignment 7: Quantum Mechanics
Due Tuesday 1st May
1. Using the spin rotation formalism from lecture 16, construct a state
S n,
such that
S n S n, = / 2 S n,
where n is characterised by the an
Assignment 6: Quantum Mechanics
Due Tuesday 24th April
1. The propagator for a free particle is:
i m ( x x )2
i m
G( x, t; x , t ) =
exp
2 (t t )
2 (t t )
a) Show that if a propagator satises t
Assignment 5: Quantum Mechanics
Due Monday 26th March
1. If we make a unitary transformation such that the states and operators
transform using the same unitary operator:
U
Q U Q U
U U = UU = 1
a
Assignment 4: Quantum Mechanics
Due Monday 19th March
1. Prove the Schwarz inequality for vector spaces:
Hint: Let =
2
and use
0
2. Prove that for a complete orthonormal basis
cf
Assignment 3: Classical Mechanics
Due Tuesday 13th March
1. A particle slides on the frictionless surface of the interior of a
45cone.
a) Find the 2D Lagrangian in terms of the
vertical coordinate
Assignment 2: Classical Mechanics"
Due Monday 5th March
!
!1. Consider a pendulum free to swing without friction at a pivot,
with a second pendulum attached to it with its pivot at the centre of
mass
Assignment 1: Classical Mechanics
Due Monday 27th February
Light paths during a mirage
1. The velocity of light above a hot surface decreases with the height
from that surface. The velocity is give
Do you dont you want me to make you / Im coming down fast but Im miles above you
Tell me, tell me, tell me the answer: You may be
Theoretical Physics
but you aint no dancer
Joe Hope
X52780, room 103
j
Art is long, and time is
Theoretical Physics
Joe Hope
X52780, room 103
[email protected]
We learned to write physical
relationships using tensors
E =
Maxwells equation:
J = c , j x , j
Would it have been worthwhile if
Theoretical Physics,
settling a pillow, or throwing off a shawl / And turning to the window should say:
That is not it at all / That is not what I meant at all
Joe H
Stand up against governments, against
Theoretical Physics.
Stay irresponsible. / Say only what we know & imagine
Joe Hope
X52780, room 103
[email protected]
Second Project
Draft due to
I am putting myself to"
Special Relativity"
Housekeeping
!
which is all I think any conscious entity can ever hope to do
!
Second Project!
Joe Hope
!
X52780, room 103
!
[email protected]
!
Draft
What if I told you
Special Relativity
is only a special case of General Relativity, but writing physics with tensors is universal?
Joe Hope
X52780, room 103
[email protected]
Review: 4-ve
(Im)
Special Relativity
(Ill marry you in a ash / Im whos on rst / Im Big Bird / Im hers, yeah. Im hers.)
Joe Hope
X52780, room 103
[email protected]
Housekeeping
Second Project
Post
In loyalty to their kind, they cannot tolerate our
Special Relativity
In loyalty to our kind, we cannot tolerate their obstruction!
Joe Hope
X52780, room 103
[email protected]
Review: 4-v
(And as in the dark all cats are grey, the Pleasure of)
Special Relativity
(is at least equal, and frequently superior,
every Knack being by Practice capable of improvement)
Joe Hope
X52780, room
(Were ye at the place / Cad
Special Relativity?
(Saw ye Geordies grace / Riding on a goosie?)
Joe Hope
X52780, room 103
[email protected]
Review: Postulates of relativity
1. Physics (re
Special Relativity
(minor, standard)
Joe Hope
X52780, room 103
[email protected]
GPS IIR-15
Review: Postulates of relativity
1. Physics (results of experiments) is invariant between al
(Phys3001, your work is unparalleled.
And Im a huge fan of how you lose control and turn into)
Special Relativity
Joe Hope
X52780, room 103
[email protected]
Feedback on Project 1
Firs
Quantum Mechanics
Andre Carvalho
61970038, room 110
[email protected]
Approximate Methods
Review: Variational Methods
Provides upper bounds for the ground state energy:
Remember: i
Quantum Mechanics
Andre Carvalho
61970038, room 110
[email protected]
Approximate Methods
Review: Variational Methods
Provides upper bounds for the ground state energy:
Remember: i
Quantum Mechanics
Andre Carvalho
61970038, room 110
[email protected]
Approximate Methods
1. Only few problems in QM can be solved exactly.
2. Approximate methods are necessary to de
Quantum Mechanics
(formed again, and yet again, as endless aeons wheeled and passed.)
Joe Hope
X52780, room 103
[email protected]
Path Integral Formulation
A classical object has a posit
(Thats life, she said, We should be dead. We should be
Quantum Mechanics
( and perfect tens. And thats just three off the top of my head.)
Joe Hope
X52780, room 103
[email protected]
Ther
(Slide your hand / Jump off the end / The)
Quantum Mechanics
(is clear / and innocent)
Joe Hope
X52780, room 103
[email protected]
No assignment this week to give extra time to nish proje
(Now, since what were proposing here is so unusual, so outside the norm, that this is a good bet
that this will be one of those incidents that sticks. So, since youre gonna be stuck remembering)
Quant