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Graduate courses

Departments' graduate courses for PhD-students.

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Syllabus for

Academic year
FKA081 - Quantum mechanics
 
Syllabus adopted 2014-02-13 by Head of Programme (or corresponding)
Owner: MPPAS
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Engineering Physics
Department: 17 - FUNDAMENTAL PHYSICS


Teaching language: English
Open for exchange students
Block schedule: D

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0199 Examination 7,5c Grading: TH   7,5c   29 Oct 2014 pm V,  02 Jan 2015 pm V,  18 Aug 2015 am M

In programs

MPAPP APPLIED PHYSICS, MSC PROGR, Year 1 (elective)
MPCAS COMPLEX ADAPTIVE SYSTEMS, MSC PROGR, Year 2 (elective)
MPPAS PHYSICS AND ASTRONOMY, MSC PROGR, Year 1 (compulsory)

Examiner:

Professor  Gabriele Ferretti


Course evaluation:

http://document.chalmers.se/doc/90fae601-b7ac-4607-a93f-23edf367d308


  Go to Course Homepage

Eligibility:


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

Mathematics 30 c (including Linear algebra, Multivariable calculus, Fourier analysis), Mechanics, Electromagnetic field theory, and Quantum physics.

Aim

This course aims at giving a firm grounding in non-relativistic quantum mechanics, providing the necessary background for basic and applied research in physics as well as for "quantum engineering'' for advanced technologies. The course is built upon a systematic approach, and develops the theory with a large number of representative examples. Particular emphasis is placed on the theory of angular momentum and on various approximation methods for the solution of realistic problems.

Learning outcomes (after completion of the course the student should be able to)

Have a thorough understanding of the conceptual basis of non-relativistic Quantum Mechanics.

Compute the energy spectrum of simple quantum systems.

Apply the relevant approximation techniques to study the dynamics of more complex systems.

Fully understand the quantum theory of angular momentum and use it to analyze quantum systems.

Use symmetry principles as guidance to the study of nature.

Content

Review of fundamental concepts of quantum mechanics.

Quantum Dynamics, Schrödinger equation.

The theory of angular momentum.

Pure vs mixed states. Density matrix.

Symmetries in Quantum Mechanics.

Time independent non-degenerate and degenerate theory.

Linear Stark Effect, Zeeman effect and fine structure.

Variational methods.

Time dependent perturbation theory.

Organisation

Lectures and Exercise sessions.

Literature

J.J. Sakurai and Jim Napolitano, Modern Quantum Mechanics, Second Edition (Addison-Wesley)

Examination

Written exam. Can be supplemented with additional projects in exceptional cases.


Page manager Published: Thu 04 Feb 2021.