DEPARTAMENTO DE FÍSICA

 

Quantum Mechanics II - F

Ano letivo: 2017-2018
Specification sheet

Specific details
course codecycle os studiesacademic semestercredits ECTSteaching language
1002863126pt


Learning goals
Understand the formalism of quantum mechanics. To know how to quantize a classical system. Understand the behavior of systems of identical particles. Master the use of principles of symmetry in Quantum Mechanics. To know how to calculate cross sections.

Generic skills: Competence in oral and written communication; Competence to solve problems; Competence in independent learning; Adaptability to new situations; Competence to investigate; Group work in competence; Competence in critical thinking; Competence to communicate with people who are not experts in the field;
Syllabus
Systems of identical particles: the principle of indistinguishability. Exchange Operators. Exchange degeneracy and the postulate of symmetrization.

Symmetries in Quantum Mechanics: symmetry transformations and operators that represent symmetry transformations. Symmetry groups. Groups of continuous transformations: generators and the maximum set of operators that commute. The decomposition of the Hilbert space in invariant subspaces. Operators for finite transformations and their relationship with generators. Lie algebras. Casimir operators. Discrete symmetry transformations. Scalar, pseudoscalar, vector and pseudo vector operators and selection rules. The temporal inversion. The Kramer degeneration of Kramer.

Theory of Collisions: cross sections and scattering amplitudes. Dispersion by a central potential, phase shifts partial wave decomposition. Unitarity. Potentials of finite range.
Prerequisites
Quantum Mechanics I
Generic skills to reach
. Competence in oral and written communication;
. Competence to solve problems;
. Competence in autonomous learning;
. Adaptability to new situations;
. Research skills;
. Competence for working in group;
. Critical thinking;
. Competence to communicate with people who are not experts in the field;
(by decreasing order of importance)
Teaching hours per semester
lectures45
theory-practical classes30
total of teaching hours75

Assessment
Sseminar or study visit-- %
Problem solving20 %
Synthesis work thesis-- %
Project-- %
Research work-- %
Mini tests20 %
Assessment Tests-- %
Exam60 %

Bibliography of reference
B. H. Bransden, C. J. Joachain, Physics of Atoms and Molecules, Longman Group Limite, 1983

A. Z. Capri, Nonrelativistic Quantum Mechanics, Benjamin/Cummings Publishing Company, 1985

C. Cohen-Tannoudji, B. Diu, F. Laloë, Mécanique Quantique, Hermann, Paris, 1977

L. D. Landau, E. M. Lifshitz, Quantum Mechanics (non-relativistic theory), Pergamn Press, 1997

A. Messiah, Quantum Mechanics, Dover Publications, N. Y., 1999

J. J. Sakurai, Moderm Quantum Mechanics, Addison-Wesley, 1993
Teaching method
Presentation of the fundamental concepts, with appropriate background to this discipline. Classes of discussion / problem solving which seeks to connect the concepts covered to practical situations. Support to individual work of students for these to develop work on the collection and systematization of this information
Resources used