MATH 453 — Introduction to Quantum Mechanics-Prerequisite MATH 362
Mathematics · University of Ghana
Principle of least action, Hamilton's equation, Poisson brackets. Liouville's equation. Canonical transformations. Symmetry and conservation laws. Postulates of quantum mechanics, the wave formalism. Dynamical variables. The Schrödinger equation in one-dimension; free particles in a box, single step and square well potentials. Orbital angular momentum. The 3-dimensional Schrödinger equation; motion in a central force field, the 3-d square well potential, the hydrogenic atom. Heisenberg's equation of motion, harmonic oscillator and angular momentum.
- Credits
- 3
- Level
- Level 400
- Semester
- Semester One
Other courses on this programme
- MATH 440 — Abstract Algebra II-Prerequisite MATH 354
- MATH 441 — Advanced Calculus-Prerequisite MATH 351 or MATH 353
- MATH 442 — Integration Theory and Measure –Prerequisite MATH 356
- MATH 443 — Differential Geometry-Prerequisite MATH 355
- MATH 444 — Calculus on Manifolds-Prerequisite MATH 441
- MATH 445 — Introductory Functional Analysis-Prerequisite MATH 356
- MATH 446 — Module Theory-Prerequisite MATH 440
- MATH 447 — Complex Analysis-Prerequisite MATH 223
- MATH 448 — Special Relativity- Prerequisite MATH 362
- MATH 449 — Electromagnetic Theory II-Prerequisite MATH 366
- MATH 450 — Differential Equations II-Prerequisite MATH 350
- MATH 451 — Introduction to Algebraic Field Theory-Prerequisite MATH 354
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Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).