Quantum Mechanics I

Code:

FIS3003

Acronym:

FIS3003

Level:

300

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2017/2018 - 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:B	0	Official Study Plan	3	-	6	56	162
L:CC	0	Plano de estudos a partir de 2014	2	-	6	56	162
			3
L:F	38	Official Study Plan	3	-	6	56	162
L:G	2	study plan from 2017/18	3	-	6	56	162
L:M	4	Official Study Plan	2	-	6	56	162
			3
L:Q	0	study plan from 2016/17	3	-	6	56	162
MI:EF	28	study plan from 2017/18	3	-	6	56	162

Teaching language

Suitable for English-speaking students

Objectives

 This is a 1st formal course in Quantum Mechanics. After completing this course the student should have a working knowledge of the foundations and techniques in Quantum Mechanics.

Learning outcomes and competences

 One of the learning outcomes of UC is to understand the reasoning of the MQ. At this point the postulates are presented and discussed. Next the mathematical formulation is studied and some application chapters(systems on 2 and 3 dimensions) and methods of approximate resolution of Scrodinger equation are developed.

One reserves for the UC MQII the general theory of angular momentum and identical particles systems.

Working method

Presencial

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

All courses of Mathematics, Wave Physics course and Modern Physics ciurse,

Program

 1.The new physics: new concepts and paradigms.
The Schrodinger equation as a field equation.
Position probability distributions.
Principle of superposition.
Measurement of momentum and energy. Operators. Uncertainty relations.
Wave trains and Erhenfest equations.
Classical limit.

2. General principles of Quantum Mechanics.
Physical quantities and operators;
Dirac notation.
Commutation relations and uncertainty.
Compatible and complementary observables.
State time evolution equation.

Density operator and its evolution.

3. Spin and discrete quantum systems.
Matrix form of quantum mechanics.
Spin1/2 Hamiltonian of a magnetic field.
Other two level systems.
Matrix representation of states and operators on a discrete basis.
Equation of evolution.

4. Quantum harmonic oscillator.

5. Systems in 2 and 3 dimensions.
Orbital angular moment. Coupled oscillators.
Translational and rotational symmetries. The hydrogen atom and the atomic structure.

Mandatory literature

Griffiths David J.; Introduction to quantum mechanics. ISBN: 0-13-191175-9
Cohen-Tannoudji Claude; Quantum mechanics. ISBN: 0-471-16433-X Vol. 1
Mandl F. (Franz); Quantum mechanics. ISBN: 0-471-93155-1
Park David; Introduction to the quantum theory. ISBN: 0-07-048481-3

Teaching methods and learning activities

 In theoretical lectures the topics are presented; in the classes of problems these are discussed and solved; at the end of each theme there is a homework test (optional) that students solve, within five days after its disclosure. The solution of the test is discussed individually with each student.

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Calculation formula of final grade

Classification in the final exam.
Additional proof may be required when the final exam grade is 17.0 or higher.