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The Feynman integral as a limit of complex measures

211   0   0.0 ( 0 )
 نشر من قبل Jos\\'e Mart\\'inez-Morales L.
 تاريخ النشر 2009
  مجال البحث فيزياء
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The fundamental solution of the Schrodinger equation for a free particle is a distribution. This distribution can be approximated by a sequence of smooth functions. It is defined for each one of these functions, a complex measure on the space of paths. For certain test functions, the limit of the integrals of a test function with respect to the complex measures, exists. We define the Feynman integral of one such function by this limit.



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