Solution of Schrödinger equation for a step potential

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.

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.

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.

单词	Step potential
释义	Step potential 英语例句库 In this paper,analytical expressions for double step potential chronoamperometry and chronocoulometry with simple reversible electrode reaction at microring electrodes are derived. 推导了微环电极上双电位阶跃计时电流和计时库仑法可逆波理论方程式，并得到了解析表达式。英语百科 Solution of Schrödinger equation for a step potential 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.
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Step potential

Solution of Schrödinger equation for a step potential