物理量有非交換值的量子力學直觀幾何圖像

Results in Physics 19, 103636 (2020)

Otto C.W. Kong

An Intuitive Geometric Picture of Quantum Mechanics with Noncommutative Values for Observables

位置和動量算符是物理空間的量子非交換幾何圖像的坐標。 如所有可觀測值一樣,它們有確定但非可交換的值,包含理論所預測的多於整個概率分佈的完整信息。 我們可學會更直接地處理此類非交換值。

Position and momentum operators are coordinates of the quantum, noncommutative geometric, picture of our physical space. Like all observables, they take definite but noncommutative values which give full information about them, beyond the whole probability distributions, as predicted by the theory. We may learn to deal with such noncommutative values more directly.