pines-demon
Gold Member
2024 Award
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Is this related to the state? to the observables or to what? I am lost here. There are clearly interference terms in whatever you are doing there.gentzen said:$$(\alpha|x\rangle+\beta|p\rangle)(\alpha^*\langle x|+\beta^*\langle p|)=|\alpha|^2|x\rangle\langle x|+|\beta|^2|p\rangle\langle p|+\text{interference terms}$$
$$\text{interference terms} = \alpha\beta^*|x\rangle\langle p| +\alpha^*\beta|p\rangle\langle x|$$