Quantum Mechanics I

Code:

FIS3017

Acronym:

FIS3017

Keywords
Classification	Keyword
OFICIAL	Physics

Instance: 2024/2025 - 1S

Active?	Yes
Responsible unit:	Department of Physics and Astronomy
Course/CS Responsible:	Bachelor in Engineering 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	54	162
L:CC	0	study plan from 2021/22	2	-	6	54	162
			3
L:EF	0	study plan from 2021/22	3	-	6	54	162
L:F	0	Official Study Plan	3	-	6	54	162
L:G	0	study plan from 2017/18	2	-	6	54	162
			3
L:M	0	Official Study Plan	2	-	6	54	162
			3
L:MA	0	Official Study Plan	3	-	6	54	162
L:Q	0	study plan from 2016/17	3	-	6	54	162

Teaching language

Suitable for English-speaking students

Objectives

Aquisition of knowlege and skills relating to the foundations and techniques in Quantum Mechanics

Learning outcomes and competences

• To understand the foundations of Quantum Mechanics, its postulates and aplicability.


• Mathematical formulation of Quantum Mechanics and its applications. Solving the Shcrodinger equation for various systems.


• The general theory of angular momentum.

Working method

Presencial

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

All courses of Mathematics  and Modern Physics course

Program

1. Introduction

1.1 Review of Classical Mechanics

1.2 New Physics

 

2. Wave Function

2.1 Schrodinger equation

2.2 Free particle

2.3 Heisenberg uncertainty principle

2.4 Time-independent Schrodinger equation

2.5 Harmonic oscillator

2.6 Central potential

2.7 Hydrogen atom

 

3. Axiomatic Formulation of Quantum Mechanics

3.1 Space of particle wave functions

3.2 Dirac notation

3.3 Linear operators

3.4 Postulates

 

4. General Theory of Angular Momentum

4.1 SU(2) group and its representations

4.2 The intrinsic spin

4.3 Addition of angular momentum

 

5. Stationary Perturbation Theory

5.1 Calculation of energy and its eigenstates

5.2 Fine structure of the hydrogen atom

5.3 Hyperfine structure of the hydrogen atom

Mandatory literature

Cohen-Tannoudji Claude; Quantum mechanics. ISBN: 0-471-16433-X Vol. 1
Griffiths David J.; Introduction to quantum mechanics. ISBN: 0-13-191175-9
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.

Evaluation Type

Evaluation with final exam

Assessment Components

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

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	108,00
Frequência das aulas	54,00
Total:	162,00

Eligibility for exams

Grade of 10 (out of 20).

Calculation formula of final grade

Max[T1 + T2, Exam]

* T1, T2 - Tests [grade 0-10] (T1 midterm, T2 final examination date "época normal")
* E - final exam [grade 0-20] (final examination date "época recurso")

During the final exam (E) students can repeat one of the testes, either T1 or T2. The final mark is then obtained using the higher classification obtained in the tests.

Examinations or Special Assignments

Not applicable.

Internship work/project

Not applicable.

Special assessment (TE, DA, ...)

According to FCUP rules.

Classification improvement

- By repeating both tests in a next academic year (if that is the case).
- By final examination in a next academic year.

Observations

júri: Eduardo Castro, M. Fátima Mota e Miguel Costa