## Spatial translations in quantum mechanics

I remember that when I first learned the Canonical Commutation Relations in quantum mechanics, they seemed mysterious: I knew I was supposed to view this as a law…

Read moreI remember that when I first learned the Canonical Commutation Relations in quantum mechanics, they seemed mysterious: I knew I was supposed to view this as a law…

Read moreThere is a quirk in the literature on time-energy uncertainty. It might have started as a little sloppiness. But it has grown into an error that seems to have spread…

Read moreA superselection rule is a special limitation on what is observable in the quantum world. For example, we can never seem to observe interference from the relative phases between a…

Read moreA promising proof of the so-called Kadison-Singer conjecture was announced yesterday. Mathematicians are excited, because this conjecture is equivalent to a remarkable number of open problems in other fields. And…

Read moreVirtually all known laws of physics are invariant under the CPT transformation — that is, the combined operations of Charge conjugation (C), Parity or “mirror flipping” (P), and Time reversal…

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