A few quantum systems on the line with weighted classical orthogonal polynomials as eigenstates are studied. Explicit expressions of the propagators,i.e. the integral kernels of the time evolution operators, are derived. In the case of Hermite polynomials, the system is the harmonic oscillator, while forgeneralized Laguerre and Gegenbauer polynomials, the corresponding quanutum system are equivalent to two-particle Calogero-Sutherland systems.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-297558 |
| Date | January 2021 |
| Creators | Melin, Valdemar |
| Publisher | KTH, Skolan för teknikvetenskap (SCI) |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | TRITA-SCI-GRU ; 2021:097 |
Page generated in 0.0019 seconds