Timeline for Integral of the $\delta$ function
Current License: CC BY-SA 4.0
4 events
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| Jul 27, 2023 at 14:51 | comment | added | Michael Engelhardt | @Guoqing - ah, this transformation may nevertheless get you part of the way there: The $\delta $-function becomes fairly simple, the Jacobian can be evaluated, and the boundaries of the $q$-integral at given $p$ don't seem too complicated, whereupon that $q$-integral should be straightforward. Whether the $p$-integral is anywhere close to tractable is another matter, but it would surely be useful to have only one integral left ... | |
| Jul 27, 2023 at 6:00 | comment | added | Guoqing | Thanks for your enlightening answer. The only way I can get to deal with that quartic term is the changing variables as $x+y=p,1/x+1/y=1/q$ then you get a quadratic form within the delta function. But this will also introduce the complexity to the integral region :( | |
| Jul 26, 2023 at 16:54 | history | edited | Michael Engelhardt | CC BY-SA 4.0 |
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| Jul 26, 2023 at 16:29 | history | answered | Michael Engelhardt | CC BY-SA 4.0 |