The invariant momentum-space volume element?

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SUMMARY

The invariant momentum-space volume element is defined as d^3p/p_0 = d^3p/sqrt{m^2 + \vec{p}^2}. This definition holds true under all Lorentz transformations, not just proper orthochronous Lorentz transformations. The discussion clarifies that the invariant nature of this volume element is fundamental to the principles of relativistic physics.

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pellman
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When we way that

\frac{d^3p}{p_0}=\frac{d^3p}{\sqrt{m^2+\vec{p}^2}}

is the invariant volume element, is that with respect to all Lorentz transformations or just proper orthochronous Lorentz transformations?
 
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The latter
 
Thanks.
 

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