Course detail

Modern Physics

FEKT-MPC-MFYAcad. year: 2021/2022

The postulates of relativity and their implications, the Lorentz transformation, world lines, relativistic energy and momentum. Quantization of energy, wave properties of particles, the uncertainty principle, Hermitian operators, Schrödinger equation, particles in potential fields, tunneling through a barrier, spin, principles of a laser, radiative transitions, band theory of solids.

Learning outcomes of the course unit

Students will have some familiarity with main ideas of relativity, with most of the important models of quantum mechanics and with theory of deterministic chaos.

Prerequisites

The subject knowledge on the Bachelor´s degree level is requested.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Literature

Lubomír Skála: Úvod do kvantové mechaniky ACADEMIA 2005
House J.E.: Fundamentals of Quantum Mechanics Academic Press, San Diego, London,..., 1998
Landshoff P., Metherell A.,Rees G.: Essential Quantum Physics Cambridge University Press,1999
Formánek J. : Úvod do kvantové teorie I, II, ACADEMIA, 2004 druhé rozšířené vydání.
Sartori L.: Understanding Relativity University of California Press, Berkeley, Los Angeles, London, 1996
R.C. Hillborn: Chaos and Nonlinear Dynamics: An Introduction for. Scientists and Engineers, Oxford University Press, Oxford and New. York, 1994
L.Eckertová: Cesty poznávání ve fyzice Prometheus Praha 2004
Halliday D., Resnick R., Walker J.: Fyzika Vysoké učení technické v Brně Vutium, Prometheus Praha 2000
Serway R., A.: Physics for Scientists and Engineers with Modern Physics Saunders College Publishing, Philadelphia, London,..., 1996
Jan Horský, Stanislav Bartoň: Relativistický vesmír Ando Publishing Brno 1997
A.Einstein: Teorie relativity VUTIUM Brno 2005
Hiller J., Johnston I., Styer D.: Quantum Mechanics Simulations Wiley, New York, Toronto,..., 1995.
Brandt D., Hiller J., Moloney M.: Modern Physics Simulations Wiley, New York, Toronto,..., 1995

Planned learning activities and teaching methods

Teaching methods include lectures and seminars. The course is supoported by an e-learning system, which is, however, used as a repository of lectures and examples only. Students have to write a homework, consisting in solving a single project/assignment independently during the course.

Assesment methods and criteria linked to learning outcomes

Requirements for completion of a course are specified by a regulation issued by the lecturer responsible for the course and updated for every year.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

The postulates of relativity and their implications, the Lorentz transformation, world lines, relativistic energy and momentum. The quantization of energy, the wave properties of particles, the uncertainty principle, Hermitian operators, Schrödinger equation, particles in boxes, tunneling through a barrier, spin, radiative transitions, the band theory.
Chaos in conservative and dissipative systems, deterministic chaos.

Aims

The purpose of this course is to introduce students to the most important ideas, concepts and laws of twentieth-century physics.

Specification of controlled education, way of implementation and compensation for absences

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Classification of course in study plans

  • Programme MPC-AUD Master's

    specialization AUDM-ZVUK , any year of study, winter semester, 5 credits, elective

  • Programme MPC-BIO Master's, any year of study, winter semester, 5 credits, compulsory-optional
  • Programme MPC-TIT Master's, 1. year of study, winter semester, 5 credits, compulsory-optional
  • Programme MPC-EEN Master's, 1. year of study, winter semester, 5 credits, compulsory-optional
  • Programme MPC-MEL Master's, 1. year of study, winter semester, 5 credits, compulsory-optional
  • Programme MPC-EAK Master's, 1. year of study, winter semester, 5 credits, compulsory-optional

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

Fundamentals seminar

13 hours, compulsory

Teacher / Lecturer

eLearning