Quantum bungee jumping

Rodrigo Andrade e Silva

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arXiv · 2407.11137

Quantum bungee jumping

Rodrigo Andrade e Silva

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Abstract

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.

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BibTeX RIS

Rodrigo Andrade e Silva. 2024-07-15. Quantum bungee jumping. https://arxiv.org/abs/2407.11137

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