Transcription of 221A Lecture Notes - Hitoshi Murayama
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221A Lecture Notes - Hitoshi Murayama
221A Lecture Notes path Integral 1 Feynman's path Integral formulation Feynman's formulation of quantum mechanics using the so-called path inte- gral is arguably the most elegant. It can be stated in a single line: Z. hxf , tf |xi , ti i = Dx(t)eiS[x(t)]/ h . (1). The meaning of this equation is the following. If you want to know the quantum mechanical amplitude for a point particle at a position xi at time ti to reach a position xf at time tf , you integrate over all possible paths connecting the points with a weight factor given by the classical action for each path .
221A Lecture Notes Path Integral 1 Feynman’s Path Integral Formulation Feynman’s formulation of quantum mechanics using the so-called path inte-
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