| 1 | <p>Define the basic elements of the Dirac formulation of quantum mechanics—ket vectors, bra vectors, operators, and use them to set up matrix representations of a Hilbert space, and the coordinate and momentum representations.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Communication</strong></p> </p> |
| 2 | <p>Define infinitesimal translation, rotation, and time evolution operators; demonstrate their use to describe linear momentum, angular momentum, and time evolution (Schrodinger, Heisenberg and interaction pictures), respectively.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Communication</strong></p> </p> |
| 3 | <p>Explain how the mathematical formalism in Dirac notation is used to make statistical predictions about measurements made in the lab.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Critical Thinking</strong></p><p><strong style="color: rgb(73, 80, 87);">Communication</strong></p> </p> |
| 4 | <p>Illustrate with examples how the relationship between mathematical formalism and measurements are different in quantum mechanics relative to classical mechanics and discuss the philosophical/interpretational implications for physical science.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Communication</strong></p> </p> |
| 5 | <p>Derive the eigenvalue spectra of physical observables for exactly solvable examples like the harmonic oscillator and a general angular momentum.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Critical Thinking</strong></p><p><strong style="color: rgb(73, 80, 87);">Solution-Seeking</strong></p> </p> |
| 6 | <p>Apply approximate methods, in particular time-independent and -dependent perturbation theory, to the solution of practical problems, e.g., in atomic physics, the interaction of atoms with light and scattering from a potential.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Critical Thinking</strong></p><p><strong style="color: rgb(73, 80, 87);">Solution-Seeking</strong></p> </p> |
| 7 | <p>Devise an appropriate mathematical strategy to solve a problem set out in physical terms, possibly consulting online resources and/or fellow students.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Critical Thinking</strong></p><p><strong style="color: rgb(73, 80, 87);">Solution-Seeking</strong></p> </p> |
| 8 | <p>Present written solutions to assigned problems in a thoroughly argued manner, setting out the method used and all essential steps in a logical sequence.</p> | <p>BSc(Hons) - Bachelor of Science (Honours) - Graduate Profile <p><strong style="color: rgb(73, 80, 87);">Knowledge and Practice</strong></p><p><strong style="color: rgb(73, 80, 87);">Critical Thinking</strong></p><p><strong style="color: rgb(73, 80, 87);">Solution-Seeking</strong></p><p><strong style="color: rgb(73, 80, 87);">Communication</strong></p> </p> |