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Main
UQU Programs
Physics

Advanced Quantum Mechanics

PHYS3505
3 hours English

Advanced Quantum Mechanics

Advanced Qunatum mechanics PHYS
PHYS3504 Quantum Mechanics
3 hours One requisite
1 Addition of Angular Momenta / Addition of Two Angular Momenta: General Formalism / Calculation of the Clebsch–Gordan Coefficients / Coupling (addition) of Two Spin Angular Momenta / Coupling (addition) of Orbital and Spin Angular Momenta
2 Identical Particles / Many-Particle Systems: Schr?dinger Equation, Interchange symmetry / Identical Particles in Classical and Quantum Mechanics / Exchange Degeneracy / Symmetrization Postulate, Symmetric and Antisymmetric Functions / The Pauli Exclusion Principle, Periodic Table of Chemical Elements
3 Approximation Methods for Stationary States / Time-Independent Perturbation Theory / Nondegenerate Perturbation / Degenerate Perturbation Theory / Fine Structure and the Anomalous Zeeman Effect / The Variational Principle
4 Time-Dependent Perturbation Theory / General Formulation / Transition Probability / Transition Probability for a Constant Perturbation / Transition Probability for a Harmonic Perturbation / Application: Interaction of Atoms with Radiation / Transition Rates for Absorption and Emission of Radiation / Transition Rate within the Dipole Approximation / The Electric Dipole Selection Rules
5 Scattering Theory / Scattering and Cross Section / Scattering Amplitude of Spinless Particles / The Born Approximation / Partial Wave Analysis
1.1 Mapped to: K1

Describe angular momentum coupling

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
1.2 Mapped to: K2

recall symmetrization and Pauli's exclusion principle

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
1.3 Mapped to: K2

describe the approximated methods in quantum mechanics

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
2.1 Mapped to: S1

Add two angular momenta and analyze many-particle quantum systems

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
2.2 Mapped to: S2

Solve problems using approximated methods

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
3.1 Mapped to: V1

Work individually or within a team in research projects with high professionalism.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
Assessment
Weight
Mid-term Exam
30%
Homework’s & Quizzes
20%
Final Exam
50%
Total
100%