0.5 1.0 1.5 2.0 0.2 0.4 0.6 0.8 1.0 t GLYPH<Less> 0 0.0 0.5 1.0 1.5 2.0 0.2 0.4 0.6 0.8 1.0 t GLYPH<Greater> 0 FIG. 1: Top : The EP at time t < 0 , the right boundary is closed. Bottom : The EP at time t > 0 , the right boundary is transparent allowing the wave function to escape. FIG. 2: Real part of the wave function obtained analytically. 0.5 1.0 1.5 2.0 x GLYPH<Minus> 1.0 GLYPH<Minus> 0.5 0.5 1.0 Real GLYPH<CapPsi> 17