I am a beginner to quantum mechanics and am trying to make sense of Schrodinger's Equation. I am attempting to find probabilities in the case of a free particle in the general case.(adsbygoogle = window.adsbygoogle || []).push({});

It is my understanding that the solution to Schrodinger's Equation in the general case of a free particle is as follows:

[tex]\psi(X,T) = e^{i/\hslash ( px - Et)}[/tex]

The modulus square of this is 1, which means the probability density function is uniform.

Two questions:

1. Over what values of x is this pdf defined? Can we eliminate all values of x > ct?

2. Am I correct to interpret x as the distance from the (known) starting position of the particle at t = 0?

Thanks.

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# Sample Space for Free Particle in the general case

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