Quantum Tunneling In Deformed Quantum Mechanics with Minimal Length
Xiaobo Guo, Bochen Lv, Jun Tao, Peng Wang
TL;DR
This paper derives a WKB connection formula in deformed quantum mechanics with a minimal length and applies it to calculate tunneling rates, exploring effects in nuclear and atomic physics.
Contribution
It introduces a new WKB connection formula for deformed quantum mechanics with minimal length and applies it to tunneling rate calculations.
Findings
Minimal length affects tunneling rates in nuclear physics
Minimal length influences atomic tunneling phenomena
Derived connection formula extends WKB methods in deformed quantum mechanics
Abstract
In the deformed quantum mechanics with a minimal length, one WKB connection formula through a turning point is derived. We then use it to calculate tunnelling rates through potential barriers under the WKB approximation. Finally, the minimal length effects on two examples of quantum tunneling in nuclear and atomic physics are discussed
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum and electron transport phenomena · Quantum Mechanics and Applications