| TFFY54 |
Quantum Mechanics, 6 ECTS credits.
/Kvantmekanik/
For:
FyN
MFYS
MSN
Y
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Prel. scheduled
hours: 62
Rec. self-study hours: 98
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Area of Education: Science
Main field of studies: Physics, Applied Physics
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Advancement level
(G1, G2, A): A
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Aim:
The purpose of the course is to give the student a deeper understanding of quantum mechanics and to further develop the students ability to solve quantum mechanical problems. Following the course, the student should be able to:
- derive results based on the postulates of quantum mechanics.
- use various representations of quantum mechanics.
- solve quantum mechanical problems that involve topics listed in the course content.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Modern physics, linear algebra and fourier transform.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Quantum dynamics; Relativistic quantum mechanics; Elementary particle physics.
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Organisation:
The course is divided into lectures and lessons (problem solving sessions).
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Course contents:
Historical background. Wave-particle dualism. Wave packets. The time-dependent Schrödinger equation. Probability current density. Expectation values. Hermitian operators. Time-independent Schrödinger equation.
Boundary conditions. Properties of eigenfunctions. General solution to the Schrödinger equation. Time evolution operator. The Dirac notation. State space. Adjoint operators. Unitary operators. Commutator.
Rigorous proof of the uncertainity principle. Heisenberg's matrix representation. Ehrenfest's theorem. The postulates of quantum mechanics.
Harmonic oscillator with operator method. Operators as generators of translation and rotation. Symmetries and conservation laws. Generalized angular momentum. Spherical harmonics. Pauli spin matrices. Spin dynamics.
Spherical symmetric potential. The hydrogen atom in magnetic fields. Spin-orbit term. Conceptual problems. Approximative methods: non-degenerate and degenerate perturbation theory; the variational method.
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Course literature:
B. H. Bransden and C. J. Joachain, Quantum Mechanics, second edition, Prentice Hall 2000.
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Examination: |
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A written examination
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6 ECTS
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Course language is English.
Department offering the course: IFM.
Director of Studies: Magnus Johansson
Examiner: Magnus Boman
Link to the course homepage at the department
Course Syllabus in Swedish
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