Applications with Physics

When used in different types of integrals, Feynman's integral can simplify mathematicians' and students' lives. We can use this technique in solving arduous definite and improper definite integrals. To better apply this technique, physicists use this trick to solve problems in quantum physics. They tweak the equations or functions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's have a look at the following example

When given a definite integral such as,

$ \int_{0}^{\pi} e^{cos(x)}cos(sin(x)) dx $

Using what we learnt from feynman's technique, we can modify this as a function of:

$ T(b) = \int_{0}^{\pi} e^{bcos(x)}cos(bsin(x)) dx $

Back to Feynman Integrals

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett