Quantum Mechanics 390-FS2-1MK
Study profile: general academic
Mode of study: full-time
Type of course: compulsory
Field and discipline of science: Field of Exact and Natural Sciences, Discipline: Physical Sciences
Level of study: second-cycle studies (Master’s level)
Year/Semester: 1st year / 1st semester
ECTS credits: 8
Student workload balance:
- participation in lectures (45 hours),
- participation in tutorials (45 hours),
- participation in consultations (15 hours),
- individual student work at home (95 hours).
Quantitative indicators:
- student workload related to classes requiring the direct participation of a teacher – 4.2 ECTS,
- student workload related to independent work – 3.8 ECTS.
Rules for the use of Artificial Intelligence (AI):
During classes, the use of AI systems is permitted in the following scope:
1. Machine translation of source texts from foreign languages.
2. Searching for and organizing scientific sources.
3. Creating simulations and modeling physical phenomena discussed during lectures.
The use of AI systems during the exam is not permitted.
In the case of violations of the above rules, the student may be held responsible under separate disciplinary regulations.
Course content includes:
- Review of the most important topics from the introduction to quantum mechanics
- Selected approximate methods of quantum mechanics
- Angular momentum operator and addition of angular momenta
- Spin
- The hydrogen atom including spin
- The hydrogen atom in external fields
- Theory of systems composed of identical particles
- Ground state and excited states of a two-electron atom
- Basics of quantum scattering theory
- Fundamentals of quantum solid-state theory
- Second quantization of a system of identical bosons
- Second quantization of a system of identical fermions
- Basics of the quasi-relativistic quantum theory of particle motion
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Term 2025:
Study profile: general academic Student workload balance: Quantitative indicators: Rules for the use of Artificial Intelligence (AI): The use of AI systems during the exam is not permitted. Course content includes:
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Prerequisites (description)
Course coordinators
Type of course
Term 2025: obligatory courses (in Polish) kierunkowe (in Polish) specjalnościowe | General: (in Polish) kierunkowe obligatory courses (in Polish) specjalnościowe |
Requirements
Analysis I
Analysis II
Elements of Classical Electrodynamics
Elements of Quantum Mechanics
Prerequisites
Analysis I
Analysis II
Elements of Classical Electrodynamics
Elements of Quantum Mechanics
Learning outcomes
Knowledge – the graduate knows and understands:
KP7_WG1 advanced concepts, principles, and theories relevant to physics in the field of quantum mechanics.
KP7_WG2 advanced mathematical issues necessary in physics in the field of quantum mechanics.
KP7_WG3 advanced computational methods used to solve physical problems in the field of quantum mechanics.
KP7_WG6 the main development trends in the discipline of physics in the area of quantum mechanics.
Skills – the graduate is able to:
KP7_UW1 appropriately select mathematical models to solve and analyze physical problems in the field of quantum mechanics.
KP7_UU2 continuously learn and inspire as well as organize the learning process of others.
Social competencies – the graduate is ready to:
KP7_KK1 critically evaluate their own knowledge and the information they receive.
KP7_KK2 recognize the importance of knowledge in solving cognitive and practical problems.
KP7_KK3 cooperate with experts when difficulties arise in solving problems independently.
KP7_KO1 fulfill social responsibilities and counteract misinformation within the scope of acquired knowledge.
Assessment criteria
Students take part in lectures. They are stimulated for asking the questions and for discussion.
Oral examinations undergo after the end of the course of Quantum Mechanics. They verify acquirement of knowledge.
Students get the series of questions, exercises and problems for individual and unassisted solving. During the course, students present solutions of given problems. Lecturer is advised to pay close attention to understanding used concepts and clarity of presentations. He stimulates students group for asking the questions and discussions. Lecturer tries to create sense of responsibility for team inside the students group and he encourages the group to join work.
Assessment of student learning is based on the grade, which includes:
1. Ability to solve the problems from define parts of quantum mechanics.
2. Ability to present the solutions.
3. Ability to discuss subjects and problems of the course.
4. Ability to use the literature and Internet sources.
5. Ability to collaborate inside the team.
6. Creative approach to solved problems.
Permanent grading by lecturer.
Final grade is expressed by the number established in the study regulation, which includes evaluation of the knowledge, abilities and competencies of the student.
The following grading scale is used to verify the learning outcomes:
very good – 5 (100%–91%)
good plus – 4.5 (90%–81%)
good – 4 (80%–71%)
satisfactory plus – 3.5 (70%–61%)
satisfactory – 3 (60%–51%)
fail / unsatisfactory – 2 (50%–0%)
Bibliography
1) Mirosław Makowiecki, "Quantum mechanics"
2) A. S. Dawydow, "Quantum mechanics"
3) L. D. Landau, E. M. Lifszyc, "Quantum mechanics- nonrelativistic theory"
4) L. Schiff, "Quantum mechanics".
5) I. Białynicki-Birula, M. Cieplak, J. Kamiński: "Theory of Quanta".
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: