Ciro Santilli $$Sponsor Ciro$$ 中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱
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# Position representation

| 🗖 nosplit | ↑ parent "Position and momentum space" | words: 95
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A way to write the wavefunction such that the position operator is: $$x (31)$$ i.e., a function that takes the wavefunction as input, and outputs another function: $$xψ(x) (32)$$
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If you believe that mathematicians took care of continuous spectrum for us and that everything just works, the most concrete and direct thing that this representation tells us is that:
the probability of finding a particle between and at time
equals: $$∫x0​x1​​xψx,tdx (33)$$
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