Quantum bungee jumping
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910528723484672 |
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| author | Silva, Rodrigo Andrade e |
| author_facet | Silva, Rodrigo Andrade e |
| contents | We show how a potential that is well-defined everywhere on the positive half-line, but diverges to $-\infty$ as $x\rightarrow 0^+$, may still be able to dynamically confine a particle to the (positive) half-line. We shall call this effect quantum bungee jumping: in the familiar quantum tunneling scenario one heading towards a wall is expected to bounce off it but instead passes through, while in the present scenario one jumping off a cliff is expected to fall but instead is pulled back. We discuss a particular example of a potential displaying this property, and study its energy eigenstates and spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum bungee jumping Silva, Rodrigo Andrade e Quantum Physics Mathematical Physics We show how a potential that is well-defined everywhere on the positive half-line, but diverges to $-\infty$ as $x\rightarrow 0^+$, may still be able to dynamically confine a particle to the (positive) half-line. We shall call this effect quantum bungee jumping: in the familiar quantum tunneling scenario one heading towards a wall is expected to bounce off it but instead passes through, while in the present scenario one jumping off a cliff is expected to fall but instead is pulled back. We discuss a particular example of a potential displaying this property, and study its energy eigenstates and spectrum. |
| title | Quantum bungee jumping |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2407.11137 |