Undergraduate Course: Quantum Physics (PHYS10043)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 10 (Year 4 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  In this course we study practical applications of quantum mechanics. We begin with a review of the basic ideas of quantum mechanics and give an elementary introduction to the Hilbertspace formulation. We then develop timeindependent perturbation theory and consider its extension to degenerate systems. We derive the fine structure of Hydrogenlike atoms as an example. We study the ground state and first excited state of the Helium atom and discuss multielectron atoms. The RayleighRitz variational method is introduced and applied to simple atomic and molecular systems. We will then examine quantum entanglement, exploring Bell's inequality, quantum teleporatation, superdense coding, quantum computing including Deutsch's and Grover's algorithms, and the role of information theory in quantum entanglement.
We then study timedependent perturbation theory, obtain Fermi's Golden Rule, and look at radiative transitions and selection rules. Subsequently we study scattering in the Born Approximation. We end by studying the BornOppenheimer approximation. 
Course description 
* Nondegenerate Perturbation Theory
* Degenerate Perturbation Theory
* Hydrogen fine structure
* Identical particles, exchange interaction
* Variational Principle
* Hidden variables, EPR Paradox, Bell's inequality
* Characterising entanglement, qubit
* Quantum communication  teleporatation, superdense coding
* Quantum computing  Deutsch and Grover algoriithms
* Role of information theory in entanglement Shannon entropy, entanglement entropy
* Time dependent perturbation theory
* Fermi's Golden Rule
* Interaction radiation with matter
* Scattering, Born approximation
* BornOppenheimer approximation  Covalent bond, H_2+ ion

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2020/21, Available to all students (SV1)

Quota: None 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 20,
Summative Assessment Hours 2,
Revision Session Hours 4,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
50 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Feedback 
Not entered 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S2 (April/May)   2:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Upon successful completion of this course it is intended that a student will be able to:
1)state and explain the basic postulates of quantum mechanics
2)understand the ideas of compatible and incompatible observables and explain the concept of good quantum numbers
3)define and apply matrix representations of spin operators
4)derive the effects of a timeindependent perturbation on the energy eigenvalues and eigenfunctions of a quantum system and apply the results to a range of physical problems
5)discuss the fine structure of Hydrogen
6)explain the RayleighRitz variational method and demonstrate its use for bounding the energy of various systems
7)understand the concept of a transition probability and apply perturbation theory to timedependent problems
8)discuss the interaction of radiation with quantum systems and explain the concept of selection rules
9) describe two particle interactions of bosons and fermions, explain the Born approximation and bound states for simple central potentials.
10) understand the EinsteinPodulskyRosen "paradox" and the concept of nonlocality.

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  QuaPh 
Contacts
Course organiser  Prof Arjun Berera
Tel: (0131 6)50 5246
Email: ab@ph.ed.ac.uk 
Course secretary  Dr Rebecca Hasler
Tel:
Email: becca.hasler@ed.ac.uk 

