I see how a vector in an infinite-dimensional space can be thought of as a function of one continuous variable in that both are a list of numbers (complex numbers in the case of quantum mechanics) that is infinitely long. But since wave functions in the position basis are functions of three dimensions (three continuous variables), how is all that information represented with only one vector?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks.

(Edit) Afterthought: since momentum in three-dimensional space has three components, I guess this applies to the momentum basis too.

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# About the first postulate

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