480-4001/01 – Fundamental Principles of Physics I (FPFI)
Gurantor department | Department of Physics | Credits | 3 |
Subject guarantor | Doc. Dr. RNDr. Petr Alexa | Subject version guarantor | Doc. Dr. RNDr. Petr Alexa |
Study level | undergraduate or graduate | Requirement | Optional |
Year | 1 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2018/2019 | Year of cancellation | |
Intended for the faculties | USP, FEI | Intended for study types | Follow-up Master, Master |
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
Lectures
Seminars
Summary
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.
E-learning
Other requirements
Compulsory attendance at seminars.
Prerequisities
Subject has no prerequisities.
Co-requisities
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.