Solution of Schrödinger equation for a step potential
（重定向自Potential Step）
![Scattering at a finite potential step of height V0, shown in green. The amplitudes and direction of left and right moving waves are indicated. Yellow is the incident wave, blue are reflected and transmitted, red does not occur. E > V0 for this figure.](/Images/godic/202502/04/Qm_step_pot_temp5831.png")
![Reflection and transmission probability at a Heaviside-step potential. Dashed: classical result. Solid lines: quantum mechanics. For E < V0 the classical and quantum problem give the same result.](/Images/godic/202502/04/Steppotdiag.svg5831.png")
In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves. The problem consists of solving the time-independent Schrödinger equation for a particle with a step-like potential in one dimension. Typically, the potential is modelled as a Heaviside step function.