从基质/膜对应关系看模糊球的大小和形状

arXiv - PHYS - Quantum Physics Pub Date : 2024-09-15 DOI:arxiv-2409.11435

Hai H. Vo, Nguyen H. Nguyen, Trung V. Phan

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引用次数: 0

摘要

我们利用正则化 SU（N=2）矩阵模型，在 D=（1+3）维时空中研究了投射到横向平面上的基态模糊球的大小和形状统计。我们证明，从矩阵/膜的对应关系来看，它们呈现为椭圆形。利用我们对基态波函数的数值和分析近似值，我们提供了它们的预期表面积、周长、偏心率和形状参数的估计值。

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Size and Shape of Fuzzy Spheres from Matrix/Membrane Correspondence

We study the size and shape statistics of ground state fuzzy spheres when projected onto the transverse plane, utilizing the regularized SU(N=2) matrix model in D=(1+3)-dimensional spacetime. We show that they appear as ellipses, from matrix/membrane correspondence. With our numerical and analytical approximation for the ground state wavefunction, we provide estimations for their expected surface areas, perimeters, eccentricities, and shape-parameters. These geometric constants of quantum membranes deviate drastically from classical mechanics.

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arXiv - PHYS - Quantum Physics

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