Syllabus for |
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FKA081 - Quantum mechanics
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| Syllabus adopted 2014-02-13 by Head of Programme (or corresponding) |
| Owner: MPPAS |
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7,5 Credits |
| Grading: TH - Five, Four, Three, Fail |
| Education cycle: Second-cycle |
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Major subject: Engineering Physics
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Department: 16 - PHYSICS
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Teaching language: English
Open for exchange students
Block schedule:
D
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Credit distribution |
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Examination dates |
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Sp1 |
Sp2 |
Sp3 |
Sp4 |
Summer course |
No Sp |
| 0199 |
Examination |
7,5 c |
Grading: TH |
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7,5 c
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25 Oct 2017 pm H
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19 Dec 2017 pm SB, |
21 Aug 2018 am M |
In programs
MPAPP APPLIED PHYSICS, MSC PROGR, Year 2 (elective)
MPAPP APPLIED PHYSICS, MSC PROGR, Year 1 (compulsory elective)
MPCAS COMPLEX ADAPTIVE SYSTEMS, MSC PROGR, Year 2 (elective)
MPCAS COMPLEX ADAPTIVE SYSTEMS, MSC PROGR, Year 1 (compulsory elective)
MPPAS PHYSICS AND ASTRONOMY, MSC PROGR, Year 1 (compulsory)
Examiner:
Professor
Stellan Östlund
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.