Quantum Mechanics R 1100-3Ind01

The course introduces participants to quantum mechanics within the scope of basic subjects:
1. Postulates and mathematical tools of quantum mechanics;
2. Evolution of a quantum system in time;
3. Angular momentum;
4. Solving eigenvalue problems - discrete spectrum;
5. Solving eigenvalue problems - continuous spectrum;
6. Systems of many particles;
7. Approximate methods;
with extension including elements of representation of symmetries, special relativity, interaction of particles with fields, quantization of fields, and path integrals.
Prerequisites: passed exams from years I and II of studies at the level R
Passing classes: 50% of pts for homework, 50% of pts for tests, activity in class
Exams written and oral: after passing classes (conditional passing only admits to written exam)

Description by Stanisław Głazek, May 2010.

Time estimate:
Lecture = 60 hours
Classes = 60 hours
Homework problems = 90 hours
Preparation for tests and exams = 90 hours
Total of about 300 hours

Type of course

obligatory courses

Mode

Classroom

Requirements

Algebra I E
Algebra II E
Analysis I E
Analysis II E
Complex Analysis and Special Functions I
Differential Geometry I
Classical Mechanics E
Fundamentals of Physics I
Fundamentals of Physics II E
Fundamentals of Physics III
Fundamentals of Physics IV

Prerequisites

Individual Electronics Laboratory
Individual 2nd Level Physics Laboratory
Individual Preliminary Laboratory a
Individual Preliminary Laboratory B

Prerequisites (description)

Command of physics and mathematics from first two years of individual studies at the level R and interest in quantum mechanics.

Learning outcomes

Student:
1. Describes properties of basic quantum systems (e.g., a qubit, a particle, an atom);
2. Uses conceptual and mathematical apparatus of quantum mechanics;
3. Describes time evolution of a quantum system;
4. Describes properties and uses states of definite angular momentum, including spin;
5. Calculates energies of bound states using the Schroedinger equation;
6. Calculates amplitudes and cross sections for scattering processes;
7. Estimates physical quantities using variational method and perturbation theory;
8. Takes advantage of symmetries in description of quantum phenomena;
9. Recognizes universality of principles of quantum mechanics in description of microscopic world;
10. Explains the role of quantum mechanics in our civilization and its relationship to classical theory of natural phenomena.

Assessment criteria

Assessment of participation in class, solutions to homework problems, solutions of test and exam problems, and oral answers to selected questions from a list of about 100 conceptual questions, based on a detailed system of points for each and every assessed element.

Practical placement

none

Bibliography

1. P. A. M. Dirac, The Principles of Quantum Mechanics (Oxford, 1930).
2. L. Schiff, Quantum Mechanics (McGraw-Hill, 1955; PWN 1977).
3. R. P. Feynman, R. B. Leighton, M. Sands, The Lectures (Addison-Wesley, 1965; PWN, 1974).
4. L. D. Landau, E. M. Lifszyc, Quantum Mechanics (Pergamon Press, 1974; PWN, 1979).
5. R. L. Liboff, Introductory Quantum Mechanics (Addison-Wesley, 1980).
6. I. Białynicki-Birula, M. Cieplak, J. Kamiński, Theory of Quanta (Oxford, 1992; PWN 1991).
7. B. G. Englert, Lectures on Quantum Mechanics (World Scientific, 2006).
8. J. B. Brojan, J. Mostowski, K.Wódkiewicz, Zbiór zadań z mechaniki kwantowej (PWN, 1976).