In most situations in QM we would get a quantized energy basis, that is a countably infinite basis ( I think it's called having a cardinality of aleph 0), In the meanwhile we take the position basis to be continuous ( cardinality of aleph 1?) and I'm pretty sure that there is a theorem stating that the cardinality of the Hilbert space doesn't change under change of basis, so how does this sit with QM?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Should the position basis be quantized?

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