Under Construction

wignersurmise(s ; beta)  

• beta : default 1,

  1 for the spacing density corresponds to GOE(2)

  $p_1(s)=\frac{\pi s}{2} e^{-\pi s^{2} / 4}$

  2 for the spacing density corresponds to GUE(2)

  $p_2(s)=\frac{32 s^{2}}{\pi^{2}} e^{-4 s^{2} / \pi}$

• For more info see Wigner surmise on Wikipedia

Examples

Evaluate Wigner surmise for GOE at 2

wignersurmise(2)

0.1357605281502967

Evaluate Wigner surmise for GUE at 2

wignersurmise(2,beta=2)

0.07962814352725955

unfoldedeigvals(E; deg, goe)

• E : The array of eigenvalues
• deg : default 10
• goe : default false

unfoldedSpacings(E; deg, goe)

• E : The array of eigenvalues
• deg : default 10
• goe : default false

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