FY803: Quantum physics

Study Board of Science

Teaching language: Danish or English depending on the teacher, but English if international students are enrolled
EKA: N510003102, N510003112
Assessment: Second examiner: Internal
Grading: 7-point grading scale
Offered in: Odense
Offered in: Autumn
Level: Master's level course approved as PhD course

STADS ID (UVA): N510003101
ECTS value: 10

Date of Approval: 31-03-2022


Duration: 1 semester

Version: Approved - active

Entry requirements

None

Academic preconditions

Knowledge of quantum mechanics (corresponding to a full introductory course) and relativity theory.

Course introduction

To obtain insight into the mathematical structure of quantum mechanics and develop an ability to perform basic calculations related to applications in physics and chemistry.

The course builds on the knowledge acquired in an introduction to quantum mechanics on the bachelor level , and gives an academic basis for studying the topics quantum field theory and cosmology, that appears later in the education.

In relation to the competence profile of the degree it is the explicit focus of the course to:

  • Give the competence to understand advanced quantum mechanical phenomena
  • Give skills to perform basic calculations related to applications in physics and chemistry.
  • Give knowledge and understanding of the mathematical structure of quantum mechanics

Expected learning outcome

At the end of the course, the student is expected to be able to:
  • Operate fluently within the Hilbert space description of quantum mechanics, including basis transformations, commutator algebra, and time evolution.
  • Apply symmetries to simplify calculations and understand the connection to conservation laws.
  • Couple angular moments and use irreducible tensor operators
  • Have obtained operational skills in applications of time dependent and stationary perturbation calculations

Content

1st part: 
Fundamental concepts, Heisenberg Picture, Propagators and Feynman PI, Theory of Angular Momentum, Irreducible representations, Wigner-Eckart theorem, Symmetries in QM.

2nd part: 
Classical Fields, The Quantum Theory of Radiation, Relativistic Quantum Mechanics of Spin-1/2 Particles.

Literature

J. J. Sakurai & Jim Napolitano: Modern Quantum Mechanics, 3rd edition.
See itslearning for syllabus lists and additional literature references.

Examination regulations

Exam element b)

Timing

Autumn

Rules

-3 is not allowed

Tests

Written exam

EKA

N510003102

Assessment

Second examiner: Internal

Grading

7-point grading scale

Identification

Student Identification Card

Language

Normally, the same as teaching language

Duration

4 hours

Examination aids

The exam is with limited aids. The book “Modern Quantum Mechanics" of Sakurai and Napolitano or photocopies of the books or PDF version of the book are allowed. Standard build in calculator in Windows/MAC are allowed. It is also allowed to use Maple, Mathematica, Mathcad, MathLab, GeoGebra Apps, R, R-Studio, CAS TI-Nspire, Ms Excel or LibreOffice Calc. WordMat is allowed but not recommended. Use of WordMat is at your own risk and no support is provided for errors caused by the program.  Furthermore, it is also allowed to use language translation dictionaries (e.g. Danish/English, Danish/German, Danish/French and Danish/Spanish etc) in "ordbogsprogrammet" (the dictionary programme) from http://www.ordbogen.com/ in electronic form. The browser version is not allowed. All dictionaries other than language translation dictionaries (e.g. chemical dictionary, clinical dictionary, etc.) are not allowed and must be switched off in “ordbogsprogrammet”(the dictionary programme).

Internet is not allowed during the exam. However, you may visit system "DE-Digital Exam".

ECTS value

5

Additional information

2nd part of the course is evaluated by a 4 hour written exam. 

The 2 exams must be passed with at least 02 as the total grade. If this is not accomplished, the student must take a reexam in the part(s) which is not passed. The grade -3 or “absent” must not show in any of the part exams.

Exam element a)

Timing

Autumn

Rules

-3 is not allowed

Tests

Home assignments

EKA

N510003112

Assessment

Second examiner: Internal

Grading

7-point grading scale

Identification

Full name and SDU username

Language

Normally, the same as teaching language

Examination aids

To be announced during the course

ECTS value

5

Additional information

1st part of the course is evaluated by a set of exercises, which the students will solve at home. The grade will account for 40 % of the total grade.

The 2 exams must be passed with at least 02 as the total grade. If this is not accomplished, the student must take a reexam in the part(s) which is not passed. The grade -3 or “absent” must not show in any of the part exams.

Indicative number of lessons

84 hours per semester

Teaching Method

At the faculty of science, teaching is organized after the three-phase model ie. intro, training and study phase.

  • Intro phase (lectures) - 48 hours
  • Training phase: 36  hours, including 36 hours tutorials
Activities during the study phase: Independent problem solving.

Teacher responsible

Name E-mail Department
Martin Snoager Sloth sloth@cp3.sdu.dk Fysik
Thomas Aaby Ryttov ryttov@cp3.sdu.dk Fysik

Additional teachers

Name E-mail Department City
Gustavo Pazzini de Brito gustavo@cp3.sdu.dk Fysik

Timetable

Administrative Unit

Fysik, kemi og Farmaci

Team at Educational Law & Registration

NAT

Offered in

Odense

Recommended course of study

Transition rules

Transitional arrangements describe how a course replaces another course when changes are made to the course of study. 
If a transitional arrangement has been made for a course, it will be stated in the list. 
See transitional arrangements for all courses at the Faculty of Science.