The Wave Function and the Schrödinger Equation

Abstract

According to the considerations of Sect. 1.2.2 in connection with electron diffraction, electrons also have wavelike properties; let this wave be ψ(x, t). For free electrons of momentum p and energy E = p ² /2m, in accordance with diffraction experiments, one can consider these to be free plane waves, i.e., ψ takes the form

$$\psi (x,t) = C{e^{i(k.x - \omega t)}} with\omega = E/\hbar ,K = P/\hbar $$

((2.1))

.