Thesis advisor: Dubi Kelmer / Undergraduate physics emphasizes the Schrödinger's analytic approach in solving and understanding quantum systems. Although briefly mentioned, group-theoretic approach is not emphasized, at least in terms of mathematical rigour. I attempt to kill the two rabbits - rigour and application. Part I develops the necessary formal theory of representation of finite group. In part II: Application, I primarily focus on the behaviour of an electron in various potentials where the spherical symmetry of an atom is broken into finite symmetry where I can readily apply the machineries that I have developed in part I. Basic notions of group theory, linear algebra and quantum mechanics are assumed. / Thesis (BS) — Boston College, 2014. / Submitted to: Boston College. College of Arts and Sciences. / Discipline: Mathematics Honors Program. / Discipline: College Honors Program. / Discipline: Mathematics.
| Identifer | oai:union.ndltd.org:BOSTON/oai:dlib.bc.edu:bc-ir_102371 |
| Date | January 2014 |
| Creators | Choi, Brian Jongwon |
| Publisher | Boston College |
| Source Sets | Boston College |
| Language | English |
| Detected Language | English |
| Type | Text, thesis |
| Format | electronic, application/pdf |
| Rights | Copyright is held by the author, with all rights reserved, unless otherwise noted. |
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