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| visits | member for | 1 year, 4 months |
| seen | Apr 14 at 14:08 | |
| stats | profile views | 34 |
undergrad physics student
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ +1 and very clear answer, but the other one had extra linked material |
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Apr 7 |
accepted | Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ |
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ Incredibly good answer, that's exactly the problem I was trying to do |
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ I have the book open in front of me too and there is an $i$, the integral Raymond says is not there. It's the appendix "Some useful definite integrals", integral A.3, emended edition, Dover edition (2010). |
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ @Raymond Manzoni, can you sketch how you get explicitly that classical integral? |
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ I found this integral in the context of a scattering problem in quantum mechanics. The result is in the appendix to "Quantum Mechanics and Path Integrals", by R.Feynman. I don't know in which sense it converges, hoped some mathematician may know |
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Apr 7 |
comment |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ It should exist; book claims it is $ \sqrt{i \pi / 4b}\, e^{2i\sqrt{ab}}$ |
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Apr 7 |
revised |
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ added 31 characters in body |
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Apr 7 |
asked | Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$ |
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Jan 14 |
awarded | Yearling |
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Dec 13 |
asked | Identity concerning $e^{ia\sin{x}}$ as a series of bessel functions |
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Dec 11 |
accepted | Prove summation formula for binomial coefficients |
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Dec 10 |
asked | Prove summation formula for binomial coefficients |
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Nov 29 |
accepted | Prove identity concerning successive derivative of $e^{x^2/2a}$ |
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Nov 26 |
revised |
Prove identity concerning successive derivative of $e^{x^2/2a}$ added 6 characters in body |
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Nov 26 |
asked | Prove identity concerning successive derivative of $e^{x^2/2a}$ |
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Nov 26 |
asked | Principal value of 1/x- equivalence of two definitions |
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Jul 20 |
comment |
A problem on Fourier transforms and orthogonality I am sorry - I have just discovered there was a misprint in the problem. The hypothesis is that $\hat f>0$ a.e., not $f$. This makes the proof straightforward. |
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Jul 19 |
asked | A problem on Fourier transforms and orthogonality |
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Jun 17 |
accepted | Evaluation of a product of sines |
