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st wslda examples · Changes

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Update st wslda examples authored Feb 20, 2026 by Gabriel Wlazłowski's avatar Gabriel Wlazłowski
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st-wslda-examples.md
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[[_TOC_]] [[_TOC_]]
# Example 1: Unitary Fermi Gas is confided in a 1D (smooth) squared well # Example 1: Unitary Fermi Gas is confined in a 1D (smooth) square well
Target: generate solution in a 1D potential well $`V_{\textrm{ext}}(x,y,z)\rightarrow V_{\textrm{ext}}(x)`$, with bulk density corresponding $`k_F=1`$. Target: generate solution in a 1D potential well $`V_{\textrm{ext}}(x,y,z)\rightarrow V_{\textrm{ext}}(x)`$, with bulk density corresponding $`k_F=1`$.
Code: `st-wslda-1d` Code: `st-wslda-1d`
...@@ -68,7 +68,7 @@ fig.savefig("soliton-x0.png") ...@@ -68,7 +68,7 @@ fig.savefig("soliton-x0.png")
![soliton-x0](uploads/927457810c8d21c7ee1f80d5a67342a3/soliton-x0.png) ![soliton-x0](uploads/927457810c8d21c7ee1f80d5a67342a3/soliton-x0.png)
# Example 3: Unitary Fermi Gas confined in 2D harmonic trap # Example 3: Unitary Fermi Gas confined in 2D harmonic trap
Target: find a static solution of gas confined in harmonic trap: Target: find a static solution of a gas confined in a harmonic trap:
```math ```math
V_{\textrm{ext}}(x,y,z) = \frac{m\omega_x^2 x^2}{2} + \frac{m\omega_y^2 y^2}{2} V_{\textrm{ext}}(x,y,z) = \frac{m\omega_x^2 x^2}{2} + \frac{m\omega_y^2 y^2}{2}
``` ```
...@@ -88,4 +88,4 @@ Output: ...@@ -88,4 +88,4 @@ Output:
![image](uploads/0409af54e5a048b0a596d4ad70004c2c/image.png) ![image](uploads/0409af54e5a048b0a596d4ad70004c2c/image.png)
# Archival examples # Archival examples
For other examples you can see [here](st-wslda examples archival). For other examples, you can see [here](st-wslda-examples-archival).
\ No newline at end of file \ No newline at end of file
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W-BSK Toolkit