![]() ![]() One Dimensional Infinite Depth Square Well This wave function is only relevant for positive x , and the coefficients A, B are functions of theĮnergy - for certain energies it turns out that A = 0 , and the wave function converges. Shall see below, there are situations with spatially varying potentials where Of course, this wave function will diverge in Ψ ( x ) tends to zero, the curvature tends to zero,įor a constant potential V 0 > E , the wave function is ψ ( x ) = A e α x + B e − α x, ![]() Will the curvature be just right to bring the wave function to zero as x goes to infinity. Only with exactly the right initial conditions Means that ψ ( x ) tends to diverge to infinity. Potential V ( x ) = V 0 E , the curvature is always away from the axis. The simplest example is that of a constant In bothĬases, ψ ( x ) is always curving towards the x -axis - so, for E > V ( x ), ψ ( x ) has a kind of stability: its curvature isĪlways bringing it back towards the axis, and so generating oscillations. This means that if E > V ( x ) , for ψ ( x ) positive ψ ( x ) is curving negatively, for ψ ( x ) negative ψ ( x ) is curving positively. Rate of change of slope, is the curvature – so the curvature of the function is Curvature of Wave Functionsĭ 2 ψ ( x ) d x 2 = 2 m ( V ( x ) − E ) ℏ 2 ψ ( x )Ĭan be interpreted by saying that the left-hand side, the Previous index next PDF Schrödinger’s Equation in 1-D: Some Examples ![]()
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Within the framework of the project "Increasing TVET Competencies for Youth in the Palestinian Labour Market", supported by the Belgian Development Agency (Enabel) and in cooperation with the Palestine Economic Policy Research Institute (MAS), UNESCO Ramallah organized a workshop to introduce the Life and Work Skills Toolbox.
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