Pith. sign in

This sets the characteristic length scale of the system to α≈ 0.529× 10−10 m

1D case As an example to develop intuition, let us examine the one-dimensional potentialV (x) =−ϵδ(x), where the coupling parameter is defined as g≡mϵ/ℏ2 > 0 (with units of inver

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Probing the Universe's Topology through a Quantum System?

quant-ph · 2025-05-13 · conditional · novelty 5.0

A toy model shows that cosmic topology alters the bound-state energy of a 3D Dirac delta potential by a coefficient C_Γ=6 for the 3-torus and C_Γ=4 for the half-turn space, suppressed by exp(-L/g_R).

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  • Probing the Universe's Topology through a Quantum System? quant-ph · 2025-05-13 · conditional · none · ref 6

    A toy model shows that cosmic topology alters the bound-state energy of a 3D Dirac delta potential by a coefficient C_Γ=6 for the 3-torus and C_Γ=4 for the half-turn space, suppressed by exp(-L/g_R).