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TCM302 Quantum Mechanics IIa, 5 cr 
Code TCM302  Validity 01.01.2017 -
Name Quantum Mechanics IIa  Abbreviation Quantum Mechani 
Scope5 cr   
TypeAdvanced studies
  GradingGeneral scale 
    Can be taken more than onceno
Unit Master's Programme in Theoretical and Computational Methods 

Target group 

Master’s Programme in Theoretical and Computational Methods is responsible for the course.

Modules where the course belong to:

  • TCM300 Advanced Studies in Theoretical and Computational Methods
  • PAP300 Advanced Studies in Particle Physics and Astrophysical Sciences
    Optional for:
    1. Study Track in Particle Physics and Cosmology

The course is available to students from other degree programmes.


The course is offered in the spring term, during III period.

Learning outcomes 

The student knows the formalism on non-relativistic quantum mechanics. The student can apply perturbation theory and other approximation methods to time-dependent perturbations and scattering problems in atomic, nuclear and condensed matter physics. The student understands  the assumptions underlying different approximations and can estimate the range of validity of different approximation methods within the considered context. The student can couple three angular momenta, knows spherical tensor operators and can apply Wigner-Eckart theorem.

Completion methods 

Course is completed either by submitted exercise problems and additional exam problems or alternatively by a final exam.


Quantum mechanics I, Electrodynamics I and II, Mathematical methods in physics IIa and IIb (or equivalent)

  • Time dependent perturbation theory, Fermi's Golden rule, sudden and adiabatic approximations.
  • Scattering theory: construction of Lippmann-Schwinger equation and its solution in Born approximation.
  • Scattering theory: partial wave method for spherically symmetric potentials, scattering resonances.
  • Coupling of angular momenta, spherical tensor operators and Wingner-Eckart theorem.
  • Path integral formulation of quantum mechanics
Study materials and literature 

Sakurai: Advanced quantum mechanics.

Activities and teaching methods in support of learning 

Weekly lectures, independent work of the student, solutions to exercises will be submitted weekly and graded by the teaching assistant. The exercise problems are solved working in groups in tutored exercise sessions and also independently.

Assessment practices and criteria 

The grade is determined in a way agreed in the beginning of the course.


Suitable for exchange students



Current and future instruction
No instruction in WebOodi

Future examinations
Functions Name Type cr Teacher Schedule
Registration Quantum Mechanics IIa  General Examination  Esko Keski-Vakkuri 
14.08.20fri 10.00-14.00
registration period has not begun Quantum Mechanics IIa  General Examination  Esko Keski-Vakkuri 
11.09.20fri 12.00-16.00
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