Quantum Mechanics

Code:

F301

Acronym:

F301

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2011/2012 - 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	8	Plano de Estudos a partir de 2008	3	-	7,5	-
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:CC	0	Plano de estudos de 2008 até 2013/14	3	-	7,5	-
L:F	28	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	0	Plano de estudos a partir de 2009	3	-	7,5	-
L:Q	0	Plano de estudos Oficial	3	-	7,5	-
M:AST	0	Plano de Estudos do Mestrado em Astronomia	1	-	7,5	-
MI:EF	26	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.

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

Lectures of the matter.
Theoretical and practical discussion and resolution of problems.

Evaluation Type

Evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	75,00
	Total:	-	0,00

Eligibility for exams

Frequency of practical classes according to the 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.