Quantum mechanics of the two-dimensional circular billiard plus baffle system and half-integral angular momentum
| dc.creator | Robinett, R. W. | |
| dc.date | 2003-07-05 | |
| dc.date.accessioned | 2026-07-07T06:07:15Z | |
| dc.date.available | 2026-07-07T06:07:15Z | |
| dc.description | We examine the quantum mechanical eigensolutions of the two-dimensional infinite well or quantum billiard system consisting of a circular boundary with an infinite barrier or baffle along a radius. Because of the change in boundary conditions, this system includes quantized angular momentum values corresponding to half-integral multiples of $\hbar/2$. We discuss the resulting energy eigenvalue spectrum and visualize some of the novel energy eigenstates found in this system. We also discuss the density of energy eigenvalues, $N(E)$, comparing this system to the standard circular well. These two billiard geometries have the same area (A=$πR^2$), but different perimeters ($P=2πR$ versus $(2π+ 2) R$), and we compare both cases to fits of $N(E)$ which make use of purely geometric arguments involving only $A$ and $P$. We also point out connections between the angular solutions of this system and the familiar pedagogical example of the one-dimensional infinite well plus $δ$-function potential. | |
| dc.description | 24 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0307035 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0307035 | |
| dc.identifier | Eur. J. Phys. 24 (2003) 231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91225 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum mechanics of the two-dimensional circular billiard plus baffle system and half-integral angular momentum | |
| dc.type | text |