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Main
UQU Programs
Physics

Quantum Mechanics

PHYS3504
4 hours English

Quantum Mechanics

Qunatum mechanics PHYS
PHYS2401 Modern Physics
4 hours One requisite
1 Origins of Quantum Physics and Limits of Classical Physics / Particle Aspect of Radiation and Wave Aspect of Particles / Particles versus Waves, Wave–Particle Duality: Complementarity / Indeterministic Nature of the Microphysical World, Heisenberg’s Uncertainty Principle / Probabilistic Interpretation / Wave Packets, Motion of Wave Packets: Group and Phase Velocities
2 Mathematical Tools of Quantum Mechanics / The Hilbert Space and Wave Functions, Square-Integrable Functions / Dirac Notation / Operators, Commutator Algebra, Eigenvalues and Eigenvectors / Representation in Discrete and Continuous Bases / Matrix and Wave Mechanics
3 Postulates of Quantum Mechanics / The Basic Postulates of Quantum Mechanics / Observables and Operators / Measurement in Quantum Mechanics: Expectation Value / Time Evolution of the System’s State / Connecting Quantum to Classical Mechanics, The Ehrenfest Theorem
4 One-Dimensional Problems / The Free Particle: Continuous States / The Infinite Square Well Potential / The Finite Square Well Potential / The Potential Barrier / The Harmonic Oscillator
5 Three-Dimensional Problems / The Schr?dinger Equation, The Central Potential / The Angular Equation, Spherical Harmonics / The Radial Equation / The Hydrogen atom; The Quantum Numbers n, l, m / The Energy Spectrum of Hydrogen
6 Angular momentum / Orbital Angular Momentum / General Formalism of Angular Momentum / Matrix Representation of Angular / Spin Angular Momentum, Evidence / Eigenfunctions of Orbital Angular Momentum
1.1 Mapped to: K1

Recall the limits of classical physics and State the postulates of quantum mechanics

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
1.2 Mapped to: K1

Identify operators, eigenvectors, and eigenvalues

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
1.3 Mapped to: K3

Describe hydrogen atom energy levels

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

Employ and interpret wavefunction to predict physical quantities.

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

Derive Schrodinger equation based on free particle wavefunction.

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

Solve time-dependent and time-independent Schrodinger equations

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

for different potentials.

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%