480-4001/01 – Fundamental Principles of Physics I (FPFI)

Gurantor departmentDepartment of PhysicsCredits3
Subject guarantorDoc. Dr. RNDr. Petr AlexaSubject version guarantorDoc. Dr. RNDr. Petr Alexa
Study levelundergraduate or graduateRequirementOptional
Study languageCzech
Year of introduction2018/2019Year of cancellation
Intended for the facultiesFEI, USPIntended for study typesFollow-up Master, Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
SLA0112 doc. RNDr. Petr Slaný, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 2+1

Subject aims expressed by acquired skills and competences

1. Present and, on selected examples, demonstrate the application of lagrange and hamilton formalism in physics. 2. Point out some interesting aspects of quantum theory.

Teaching methods



Hamilton's principle of least action is one of the principles on which to formulate all the equations of modern physics and which also serves as a tool for finding new theories. The course is devoted to its application in the framework of Lagrangian and Hamiltonian formalism in classical and quantum mechanics.

Compulsory literature:

R. Shankar – Principles of Quantum Mechanics, Plenum Press, New York and London, 1994

Recommended literature:

R. P. Feynman, R. B. Leighton, M. Sands – Feynmanovy přednášky z fyziky, Fragment, Praha, 2000

Way of continuous check of knowledge in the course of semester

Active students´ participation in communication at seminars.


Other requirements

Compulsory attendance at seminars.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Basics of calculus 2. The principle least action (Hamilton's principle) 3. Conservation laws, the theory of E. Noether 4. Problem of two bodies, Kepler's task 5. Hamilton's canonical equations, Poisson's brackets 6. Canonic transformation, Liouville's theorem, Hamilton-Jacobi theory 7. Quantum mechanics, commutator and uncertainty relations 8. Time evolution of the quantum state, Feynman's formulation of quantum mechanics

Conditions for subject completion

Full-time form (validity from: 2018/2019 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit Credit  
Mandatory attendence parzicipation: Compulsory attendance at seminars.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (N0533A110006) Applied Physics P Czech Ostrava 1 Optional study plan
2019/2020 (N0533A110006) Applied Physics P Czech Ostrava 1 Optional study plan
2019/2020 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Optional study plan
2018/2019 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner