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nomadreid

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nomadreid

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nomadreid

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Since I presently do not have access to a scientific library, and the book does not seem to be easily downloadable, and rather expensive to order, I cannot follow up on your book recommendation. If you have any recommendations from the Internet, I would be happy to follow them up.

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For a starter you can check this: http://www.scholarpedia.org/article/Path_integral" [Broken], but there are several different approaches. The class of admissible paths depends on what you want to integrate. For instance you will find a sentence like this:

"This has the effect of restricting the integration to paths that satisfy a Hölder condition of order 3/2 and are thus differentiable, in such a way that expectations values with dq/dt are defined."

"This has the effect of restricting the integration to paths that satisfy a Hölder condition of order 3/2 and are thus differentiable, in such a way that expectations values with dq/dt are defined."

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nomadreid

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For a starter you can check this: http://www.scholarpedia.org/article/Path_integral" [Broken], but there are several different approaches. The class of admissible paths depends on what you want to integrate. For instance you will find a sentence like this:

"This has the effect of restricting the integration to paths that satisfy a Hölder condition of order 3/2 and are thus differentiable, in such a way that expectations values with dq/dt are defined."

there is no reason paths have to be differentiable. in fact the stochastic approach to QM gives inherently non-differentiable paths.

a path which is not continuous would mean a particle that starts at some point and disappears into the vacuum an then reappears and then makes it out to some final endpoint.

the book Path Integral Methods in QFT by Rivers explains this stuff. it is easily downloadable.

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nomadreid

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