ACM40050 Relativistic Quantum Mechanics
Problem Sheet 2
Due by the end of tutorial on Thursday, 28 Feb. 2013
1. Consider two states, one with AM j1 = 1/2 and the other with j2 = 1.
We may order the two-state kets |m1 , m2 and represent them as column
vect

SEMESTER 2 EXAMINATION 2009/2010
MAPH 40050
Relativistic Quantum Mechanics
Dr J. Norbury
Dr M. O Searcid
o
Dr P. Watts
Time Allowed: 2 hours
Instructions for Candidates
Full marks will be awarded for complete answers to three questions.
All work should be

SEMESTER 2 EXAMINATION 2011/2012
ACM 40050
Relativistic Quantum Mechanics
Prof. J. Gleeson
Dr P. Murphy
Dr M. Casals
Time Allowed: 2 hours
Instructions for Candidates
Full marks will be awarded for complete answers to three questions.
All work should be s

SEMESTER 2 EXAMINATION 2012/2013
ACM 40050
Relativistic Quantum Mechanics
Prof. J. Gleeson
Dr P. Murphy
Dr P. Watts
Time Allowed: 2 hours
Instructions for Candidates
Full marks will be awarded for complete answers to three questions.
All work should be sh

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MAPH 40050
Relativistic Quantum Mechanics
Dr. C.J. Smith
School of Mathematical Sciences,
Science Hub, Room 18, x 2589
calvin.smith@ucd.ie
Disclaimer
While every eort has been made to ensure that these notes are correct they
have not been thoroughly proof

ACM40050 Relativistic Quantum Mechanics
Problem Sheet 4
Due by the end of tutorial on Thursday, April 11th , 2013
1. We know that, when acting on scalar functions f (t, x), the 4-momentum
P = (P0 , P ) and angular momentum J operators are given by
P
i
,

ACM40050 Relativistic Quantum Mechanics
Problem Sheet 1
Due by the end of tutorial on Thursday, Feb. 14th , 2013
1. (a) From the denitions of the raising and lower operators
:= Lx iLy ,
L
derive the commutation relations
[L+ , L ]
=
2 Lz ,
h
[Lz , L ]
=

ACM40050 Relativistic Quantum Mechanics
Problem Sheet 3
Due by the end of tutorial on Thursday, Mar. 28th , 2013
1. State whether each of the following pairs of sets and operations form a
group. If yes, show that they satisfy the four basic properties whi

ACM40050 Relativistic Quantum Mechanics
Problem Sheet 5
Due by the end of tutorial on Thursday, Apr. 25th , 2013
1. This problem is meant to illustrate a concept that we used in lectures,
namely, how we include potential energy in a relativistic context.

ACM40050 Relativistic Quantum Mechanics
Problem Sheet 6
This problem sheet is completely optional, but if you turn it in, itll be
marked, and it will be counted as part of your continuous assessment only if it
brings your average up. If you choose to turn

SEMESTER 2 EXAMINATION 2010/2011
ACM 40050
Relativistic Quantum Mechanics
Dr J. Norbury
Dr M. O Searcid
o
Dr P. Watts
Time Allowed: 2 hours
Instructions for Candidates
Full marks will be awarded for complete answers to three questions.
All work should be