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arXiv · 0910.5411

Examples of quantum integrals

Stan Gudder
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Abstract

We first consider a method of centering and a change of variable formula for a quantum integral. We then present three types of quantum integrals. The first considers the expectation of the number of heads in $n$ flips of a "quantum coin". The next computes quantum integrals for destructive pairs examples. The last computes quantum integrals for a (Lebesgue)^2 quantum measure. For this last type we prove some quantum counterparts of the fundamental theorem of calculus.

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Stan Gudder. 2009-10-28. Examples of quantum integrals. https://doi.org/10.1016/s0034-4877(10)00021-2

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