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

# Position representation

nosplit "Position and momentum space" words: 72
A way to write the wavefunction such that the position operator is: $$x (17)$$ i.e., a function that takes the wavefunction as input, and outputs another function: $$xψ(x) (18)$$
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: $$∫x0​x1​​xψx,tdx (19)$$