期刊論文
| 學年 | 96 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2008-06-01 |
| 作品名稱 | Self-adjoint extensions of the Hamiltonian operator with symmetric potentials which are unbounded from below |
| 作品名稱（其他語言） | |
| 著者 | Cho, Hing-tong; Ho, Choon-lin |
| 單位 | 淡江大學物理學系 |
| 出版者 | Bristol: Institute of Physics Publishing Ltd. |
| 著錄名稱、卷期、頁數 | Journal of Physics A: Mathematical and theoretical 41(25), 255308(11pages) |
| 摘要 | We study the self-adjoint extensions of the Hamiltonian operator with symmetric potentials which go to −∞ faster than −|x|2p with p > 1 as x → ±∞. In this extension procedure, one requires the Wronskian between any states in the spectrum to approach to the same limit as x → ±∞. Then the boundary terms cancel and the Hamiltonian operator can be shown to be Hermitian. Discrete bound states with even and odd parities are obtained. Since the Wronskian is not required to vanish asymptotically, the energy eigenstates could be degenerate. Some explicit examples are given and analyzed. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 1751-8113 |
| 期刊性質 | 國際 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | Cho, Hing-Tong; Ho, Choon-Lin |
| 審稿制度 | |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/50348 ) |