中子量子引力态的等谱势解释
Interpretation of the neutron quantum gravitational states in terms of isospectral potentials
摘要：
在单参数等谱哈密顿量的框架下，分析了最近观测到的束缚在引力场中的中子量子态。首次明确地构造了与通常的牛顿势等谱的势，然后利用中子引力态的测量性质对其进行约束。在一个简单的模型中计算和分析了相应的波函数和中子通量，包括基态和激发态的贡献。构造的等光谱电位进行了讨论，作为候选人在亚毫米尺度的牛顿定律的可能的修改。我们的研究结果表明，在亚毫米的距离牛顿引力的显着偏差可以与实验兼容。
英文摘要：
The recently observed quantum states of neutrons bound in a gravitational field are analyzed in the framework of one-parameter isospectral hamiltonians. Potentials isospectral to the usual Newton potential are explicitly constructed for the first time, then constrained using measured properties of the neutron gravitational states. The corresponding wave functions and the neutron fluxes are also calculated and analyzed in a simple model, including the ground state and the excited state contributions. The constructed isospectral potentials are discussed as candidates for a possible modification of Newton's law at a submillimetre scale. Our results indicate that significant deviations from the Newtonian gravity at submillimetre distances could be compatible with experiment.
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