Figure 2 - uploaded by Luiz G.M. Ramos
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The probability densities ρ (e) ζ (x) = |ψ (e) ζ (x) | 2 for the ground state with g equal to −30 (dashed line with cusp point towards the origin), −2 (dotted line with cusp pointing towards the origin), 0 (continuous line), 3/4 (dashed line with cusp pointing from the origin) and 2 (dotted line with cusp pointing from the origin).

The probability densities ρ (e) ζ (x) = |ψ (e) ζ (x) | 2 for the ground state with g equal to −30 (dashed line with cusp point towards the origin), −2 (dotted line with cusp pointing towards the origin), 0 (continuous line), 3/4 (dashed line with cusp pointing from the origin) and 2 (dotted line with cusp pointing from the origin).

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The stationary states of a particle under the influence of a delta potential confined by impenetrable walls are investigated using the method of expansion in orthogonal functions. The eigenfunctions of the time-independent Schrödinger equation are expressed in closed form by using a pair of closed-form expressions for series available in the litera...

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... normalized probability densities ρ ζ (x) | 2 for the ground state are depicted in Fig.2 for several illustrative values of g, plotted as functions of x/L. ...

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