Figure 3 - uploaded by Thomas Bothner
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Our choice for Γ α,β in Proposition 4.1 with 0 < ∆ = dist(Γ α , R) = dist(Γ β , R) < ω 2 .
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We rigorously compute the integrable system for the limiting $(N\rightarrow\infty)$ distribution function of the extreme momentum of $N$ noninteracting fermions when confined to an anharmonic trap $V(q)=q^{2n}$ for $n\in\mathbb{Z}_{\geq 1}$ at positive temperature. More precisely, the edge momentum statistics in the harmonic trap $n=1$ are known to...
Contexts in source publication
Context 1
... 4.1. Let Γ α denote the reflection of Γ β across the real axis where we fix Γ β := R − i∆ with 0 < ∆ < ω 2 , see Figure 3 below for the contours. Now define ...
Context 2
... X(ζ) admits continuous boundary values X ± (ζ) ∈ I(H 2 ) on Σ, oriented as shown in Figure 3, which satisfy X + (ζ) = X − (ζ)G(ζ) with ...
Context 4
... we have used the conjugation symmetry Γ β = Γ α , see Figure 3, and the fact that λ → ψ n (λ, ·) is odd. ...
Context 5
... 4.14. Let i, j ∈ {1, 2} and m ∈ Z ≥0 with 0 < ∆ < ω 2 fixed as indicated in Figure 3. ThenˆΣ Thenˆ ...
Context 6
... 4.1. Let Γ α denote the reflection of Γ β across the real axis where we fix Γ β := R − i∆ with 0 < ∆ < ω 2 , see Figure 3 below for the contours. Now define ...
Context 7
... X(ζ) admits continuous boundary values X ± (ζ) ∈ I(H 2 ) on Σ, oriented as shown in Figure 3, which satisfy X + (ζ) = X − (ζ)G(ζ) with ...
Context 9
... we have used the conjugation symmetry Γ β = Γ α , see Figure 3, and the fact that λ → ψ n (λ, ·) is odd. ...
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