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10102 Quantum Mechanics

Danish title: 


Kvantemekanik

Language:


Point (ECTS )


10

Course type:   

BSc course


Schedule:

F4

 

Scope and form:

Lectures, problem solving

Duration of Course:

13 weeks

Date of examination:

F4B,   E4B 

Type of assessment:

Exam duration:

Aid:

Evaluation:

Previous Course:

10111

Not applicable together with:

Qualified Prerequisites:

,

Optional Prerequisites:

,

General course objectives:

To establish basic theoretical concepts within quantum mechanics.


Learning objectives:

A student who has met the objectives of the course will be able to:
  • Iidentify physical systems that requires a quantum mechanical description.
  • Solve Schrödinger's equation for simple one-dimensional systems and interpret the results.
  • Quote the eigenvalues for the most important quantum mechanical operators.
  • Outline and explain the basic postulates of quantum mechanics.
  • Explain and apply Dirac notation.
  • Recall the most important commutator relations.
  • Formulate the connection between symmetry and conservation laws.
  • Apply creation and anihilation operator techniques.
  • Calculate eigenvalues and eigenfunctions for perturbed systems.
  • Analyse simple molecular systems by means of the quantum mechanical variational principle.
  • Recognize and apply professional terminology in English.

Content:

Particles as waves, Schrödinger's equation. Expectations values, operators, eigenvalues, and stationary states. Dirac formalism. Commutators, unitary transformations, and matrix representation. Symmetry and conservation laws. Free particles, the potential well, and the harmonic oscillator. Angular momenta, central potentials, and the hydrogen atom. Perturbation theory and the variational method. Identical spin ½-particles.


Course literature:

David J. Griffiths: Quantum mechanics, 2nd edition ISBN-10: 0131118927 - ISBN-13: 978-0131118928


Responsible:

Henrik Bruus, 309, 246, (+45) 4525 3307,  
Kirstine Berg-Sørensen, 309, 119, (+45) 4525 3101,  

Department:

10 Department of Physics

Registration Sign up:

At CampusNet

Keywords:

Quantum Mechanics, Schrödinger's Equation, Wave Equation, Quantum Wells, Heisenberg's Uncertainty Relations.
Last updated: July 16, 2012

See course in DTU Course base


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