Practical Quantum Mechanics (QM) using Mathematica
Informacje ogólne
Kod przedmiotu: | 1100-4PQMM |
Kod Erasmus / ISCED: |
13.2
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Nazwa przedmiotu: | Practical Quantum Mechanics (QM) using Mathematica |
Jednostka: | Wydział Fizyki |
Grupy: |
Fizyka, II stopień; przedmioty z zakresu analizy numerycznej Physics (Studies in English), 2nd cycle; courses from list "Numerical Analysis" |
Punkty ECTS i inne: |
(brak)
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Język prowadzenia: | angielski |
Pełny opis: |
Topics: 1) wave function, average values etc. Simulation of experience with 2 slots. 2) position and momentum operators demonstrated on selected wave functions. Commutation relations. The uncertainty principle (examples) 3) how to build other operators (momentum, energy) - we operate on selected wave functions 4) Schoedinger equation. Numerical simulation of wave packet motion. 5) Stationary solutions of the Schroedinger equation. Searching for solutions using the "shooting method" - what is the quantization of energy? 6) Harmonic oscillator. Creation and annihilation operators. 7) Quantum mechanics in finite dimension (in N representation, infinite matrices are approximated with finite ones) 8) IV postulate of quantum mechanics (operators eigenvalues of the operators are measured) 9) Angular momentum. Spherical harmonics. We check the properties (m, l) 10) Hydrogen atom. We draw orbitals 11) Spin. Pauli matrices. 12) Symmetrical and anti-symmetrical wave functions (fermions and bosons). Pauli's exclusion principle. 13) Entangled states. quantum teleportation. Q-bits. Quantum cryptography. 14) Periodic table of the elements |
Literatura: |
The course does not correspond to any available textbook. Materials will be provided by the teacher. |
Metody i kryteria oceniania: |
The course ends with an exam. The exam may take a form of an individual project. |
Właścicielem praw autorskich jest Uniwersytet Warszawski, Wydział Fizyki.