Quantum Mechanics

Code:

F301

Acronym:

F301

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2014/2015 - 1S

Active?	Yes
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Physics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:AST	2	Plano de Estudos a partir de 2008	3	-	7,5	-
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:F	38	Plano de estudos a partir de 2008	3	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	1	Plano de estudos a partir de 2009	3	-	7,5	-
L:Q	0	Plano de estudos Oficial	3	-	7,5	-
MI:EF	25	Plano de Estudos a partir de 2007	3	-	7,5	-
M:M	0	PE do Mestrado em Matemática	1	-	7,5	-	-
			2

Teaching language

Portuguese

Objectives

understanding: - The foundations of quantum mechanics. - The mathematical formalism of quantum mechanics. Solving the Schrödinger equation: - To a constant potential in pieces, - Harmonic potential; - To central potential. Learn the perturbative methods of problem solving. Learning the general theory of angular momentum.

Learning outcomes and competences

- Modeling a problem in quantum physics.

- Exact resolution of the Schrödinger equation for various potentials.

-Accomplish a perturbative calculation.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

 

 

 

 

 

 

Program

Topics in Classical Mechanics. Lagrangian formalism and Hamilton. Need for a new Mechanics Mathematical formalism of quantum mechanics The Dirac notation. The postulates of quantum mechanics. Quantification of canonical examples. The harmonic potential. The central potential. Rotational symmetry and the General Theory of Angular momentum Orbital angular momentum. The spin. Switching rules. Addition of angular momenta. Clebsch-Gordon coefficients. Operators of rotation. Approximate methods for stationary states. Methods of stationary disturbances: disturbance of a non-degenerate level, disturbance degenerated to a level; Application: Fine and hyperfine structure of the hydrogen atom. Approximation methods for time-dependent problems: approximate resolution of the equation Schrodinger. The time evolution operator. Feynman diagrams. Selected Topics

Mandatory literature

Claude Cohen-Tannoudgi, Bernard Diu e Tranck Laloe; Quantum Mechanics
A. Messiah; Mecanique Quantique
Carlos Herdeiro; Notas de Mecânica Quântica
Jean-Marc Lévy-Leblond e Francoise Balibar; Quantique

Complementary Bibliography

B. Dutta-Roy; Elements of Quantum Mechanics, New Age Science
Richard L. Liboff; Introductory Quantum Mechanics, Addison Wesley

Teaching methods and learning activities

Theoretical Lectures

Discussion and resolution of problems.

keywords

Physical sciences > Physics > Quantum mechanics

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Participação presencial	0,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	132,50
Frequência das aulas	70,00
Total:	202,50

Eligibility for exams

Frequency of practical classes according to the rules of FCUP.

Calculation formula of final grade

final examination - 100%

Examinations or Special Assignments

The course evaluation consists of a written exam at a date to be determined by the Pedagogical Council.

You may be required further proof to students whose grade is equal to or greater than 17 points. There will only further proof on aggregate exam periods.

Internship work/project

doesn't apply

Special assessment (TE, DA, ...)

You may be required further proof to students whose grade is equal to or greater than 17 points. There will only further proof on aggregate exam periods.

TE, DA - rules of FCUP

Classification improvement

rules of FCUP

Observations

RECOMMENDED PREREQUISITES

The student must have approval in the discipline of Modern Physics and Astrophysics and in the disciplines of mathematics of the course.