3D integral on trigonometric and roots
$begingroup$
I'm trying to calculate the following integral ($vec{R}$ is a constant vector, $m$ is a constant real number and $vec{R}cdot vec{p}$ is the usual scalar product):
$$I = int_{mathbb{R}^3} frac{d^3p}{(2pi)^3sqrt{|vec{p}|^2 + m^2}}(1 + cos{(vec{R}cdotvec{p})}) $$
I'm stuck, so if anyone could give me a little push, I'll appreciate it.
calculus integration multivariable-calculus definite-integrals multiple-integral
asked Dec 20 '18 at 3:29
VickyVicky
1557
$endgroup$
add a comment |
$begingroup$
I'm trying to calculate the following integral ($vec{R}$ is a constant vector, $m$ is a constant real number and $vec{R}cdot vec{p}$ is the usual scalar product):
$$I = int_{mathbb{R}^3} frac{d^3p}{(2pi)^3sqrt{|vec{p}|^2 + m^2}}(1 + cos{(vec{R}cdotvec{p})}) $$
I'm stuck, so if anyone could give me a little push, I'll appreciate it.
calculus integration multivariable-calculus definite-integrals multiple-integral
asked Dec 20 '18 at 3:29
VickyVicky
1557
$endgroup$
$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04
add a comment |
$begingroup$
I'm trying to calculate the following integral ($vec{R}$ is a constant vector, $m$ is a constant real number and $vec{R}cdot vec{p}$ is the usual scalar product):
$$I = int_{mathbb{R}^3} frac{d^3p}{(2pi)^3sqrt{|vec{p}|^2 + m^2}}(1 + cos{(vec{R}cdotvec{p})}) $$
I'm stuck, so if anyone could give me a little push, I'll appreciate it.
calculus integration multivariable-calculus definite-integrals multiple-integral
asked Dec 20 '18 at 3:29
VickyVicky
1557
$endgroup$
I'm trying to calculate the following integral ($vec{R}$ is a constant vector, $m$ is a constant real number and $vec{R}cdot vec{p}$ is the usual scalar product):
$$I = int_{mathbb{R}^3} frac{d^3p}{(2pi)^3sqrt{|vec{p}|^2 + m^2}}(1 + cos{(vec{R}cdotvec{p})}) $$
I'm stuck, so if anyone could give me a little push, I'll appreciate it.
calculus integration multivariable-calculus definite-integrals multiple-integral
calculus integration multivariable-calculus definite-integrals multiple-integral
asked Dec 20 '18 at 3:29
VickyVicky
1557
asked Dec 20 '18 at 3:29
VickyVicky
1557
edited Dec 20 '18 at 19:29
Vicky
asked Dec 20 '18 at 3:29
VickyVicky
1557
asked Dec 20 '18 at 3:29
VickyVicky
1557
asked Dec 20 '18 at 3:29
VickyVicky
1557
1557
$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04
add a comment |
$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04
$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04
$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04
add a comment |
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$begingroup$
where did this come from?
$endgroup$
– Dylan
Dec 20 '18 at 11:04