Based on de Broglie’s idea of matter waves, Schrödinger derived a mathematical equation known as Schrödinger’s wave equation. To derive Schrödinger’s wave equation, consider a particle of mass ‘*m*’ moving freely along X-direction [one dimensional] with velocity *v*. This moving particle is associated with a de Broglie wave of wavelength ‘*λ*’ and has frequency ‘*v*’. The expression for the displacement of a de Broglie wave associated with a moving particle is similar to an expression for undamped harmonic waves:

where *ω* = 2*πν* = angular frequency and *v* = *νλ* = velocity of the wave. ψ is called wave function, ...

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