CTU FEE Moodle
Theoretical Physics 2
B232 - Summer 23/24
This is a grouped Moodle course. It consists of several separate courses that share learning materials, assignments, tests etc. Below you can see information about the individual courses that make up this Moodle course.
Theoretical Physics 2 - B0B02TF2
Main course
| Credits | 4 |
| Semesters | Summer |
| Completion | Assessment + Examination |
| Language of teaching | undefined |
| Extent of teaching | 3+1s |
Annotation
The lecture is devoted to the fundamentals of quantum physics in Dirac formalism. It is the second part of four-part lecture cycle.
Study targets
No data.
Course outlines
1. Basic principles: analytical and quantum mechanics relation .
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
Exercises outlines
operators - examples
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
Literature
[1] P. Kulhánek: Kvantová teorie, ČVUT, 2002, http://www.aldebaran.cz/studium/kvantovka.pdf
[2] E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
[2] E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
Requirements
Theoretical Physics 1
Theoretical Physics 2 - B0M02TF2
| Credits | 4 |
| Semesters | Summer |
| Completion | Assessment + Examination |
| Language of teaching | undefined |
| Extent of teaching | 3+1s |
Annotation
The lecture is devoted to the fundamentals of quantum physics in Dirac formalism. It is the second part of four-part lecture cycle.
Study targets
No data.
Course outlines
1. Basic principles: analytical and quantum mechanics relation .
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
Exercises outlines
operators - examples
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
Literature
[1] P. Kulhánek: Kvantová teorie, ČVUT, 2002, http://www.aldebaran.cz/studium/kvantovka.pdf
[2] E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
[2] E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
Requirements
Theoretical Physics 1
Theoretical Physics 2 - XP02TF2
| Credits | 4 |
| Semesters | Summer |
| Completion | Assessment + Examination |
| Language of teaching | undefined |
| Extent of teaching | 3P+1C |
Annotation
The lecture is devoted to the fundamentals of quantum physics in Dirac formalism. It is the second part of four-part lecture cycle.
Study targets
To became familiar with the basics of the quantum theory.
Course outlines
1. Basic principles: analytical and quantum mechanics relation .
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
2. Operators: Hermit and unitary operators. Dirac symbolics.
3. Measuring in QT. Compatibility, Heisenberg uncertainty relations.
4. Theory of the representations: x, p, E representation. Wave function.
5. Schrodinger equation. Simple examples.
6. Harmonic oscillator - creation and annihilation operators.
7. Central field, quantum numbers.
8. The time evolution in QT: Ehrenfest theorems.
9. Fermions a bosons: Spin. Pauli principle.
10. Quantum field theory basics: Feynmann diagrams. CPT invariance.
11. Elementary particles - quarks and leptons, theory of interaction.
12. Weinberg-Salam electroweak theory basics.
13. Symmetry in QT. Symmetry break.
14. Quasiparticles - phonons, magnons, polarons, plazmons ...
Exercises outlines
operators - examples
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
commutation relations
Dirac formalism
Harmonic oscillator - various solutions
Hydrogen atom
wells and barriers
tunnel effect
quantum numbers
Feynman diagrams
Literature
1. P. Kulhánek: Vybrané kapitoly z teoretické fyziky, AGA 2017
2. E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
2. E. M. Lifshitz, L. D. Landau. Course in Theoretical Physics 3: Quantum Mechanics, Elsewier Science, 2003
Requirements
Theoretical Physics 1