Today I finish the derivation of the Feynman path integral for quantum mechanics.
Like my hat? Get it at:
https://teespring.com/hbar-hats
Derivation Part 1:
https://www.youtube.com/watch?v=cMYhdTXpZ4c&t=652s
Baker Cambell Hausdorff derivation:
http://webhome.phy.duke.edu/~mehen/760/ProblemSets/BCH.pdf
BCH properties and Justifying Neglected Terms:
http://www.weizmann.ac.il/particle/perez/Courses/QMII15/PInotes_Rattazzi.pdf
Info on probability measures:
https://www.tpi.uni-jena.de/qfphysics/homepage/wipf/lectures/pfad/pfad6.pdf
http://www.randomservices.org/random/dist/Integral.html
An axiomatic approach to the euclidian path integral:
https://ncatlab.org/nlab/show/Osterwalder-Schrader+theorem
Other nice discussions on the measure:
https://www.physicsforums.com/threads/measure-on-path-integral-not-defined.362316/
https://physics.stackexchange.com/questions/1894/path-integral-vs-measure-on-infinite-dimensional-space
https://physics.stackexchange.com/questions/169626/why-isnt-the-path-integral-rigorous