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#3: Post edited by (deleted user) · 2021-09-21T16:34:32Z (about 3 years ago)
  • I was reading a Physics book. Then I saw an equation which was looking like this :
  • $$\int dx dy dz d p_x dp_y dp_z$$
  • I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question came to my mind which is : Does it have any physical meaning if I just think it from Mathematics? Is there possible way to evaluate it?
  • Usually the book wrote that
  • $$\int dx dy dz d p_x dp_y dp_z=V4\pi (\frac{hv}{c})^2 h\frac{dv}{c}$$
  • I am not sure if I wrote it correctly cause I had taken the image of that book illegally that's why I couldn't take whole equation pic but I didn't notice it that time.
  • I didn't see this kind integral in my calculus book.
  • I was reading a Physics book. Then I saw an equation which was looking like this :
  • $$\int dx dy dz d p_x dp_y dp_z$$
  • I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question came to my mind which is : Does it have any physical meaning if I just think it from Mathematics? Is there possible way to evaluate it?
  • Usually the book wrote that
  • $$\int dx dy dz d p_x dp_y dp_z=V4\pi (\frac{hv}{c})^2 h\frac{dv}{c}$$
  • I am not sure if I wrote it correctly cause I had taken the image of that book illegally that's why I couldn't take whole equation pic but I didn't notice it that time.
  • I didn't see this kind integral in my calculus book.
  • I wonder which I was reading that wrote single integral. But it I was directly searching through online I found that another had wrote [6 integral](https://books.google.co.uk/books?id=47-Vd9MpBuoC&pg=PA156&lpg=PA156&dq=%E2%88%ABdxdydzdpxdpydpz&source=bl&ots=lRK0fuva43&sig=ACfU3U04fm5lLTge3oK_Vevn8fd2CXUTbA&hl=en&sa=X&ved=2ahUKEwji5-y7vpDzAhVuQEEAHR6jBTkQ6AF6BAgbEAM#v=onepage&q=%E2%88%ABdxdydzdpxdpydpz&f=false)
  • $$\int\int\int\int\int\int dx\, dy\, dz\, d p_x\, dp_y\, dp_z$$
  • which proves that they are taking integral for each function.
  • Note : I am honestly saying I don't understand anything of it now. And I may not understand answer properly also. But I am just leaving the question to read in future.. :)
#2: Post edited by (deleted user) · 2021-09-21T16:05:11Z (about 3 years ago)
  • I was reading a Physics book. Then I saw an equation which was looking like this :
  • $$\int dx dy dz d p_x dp_y dp_z$$
  • I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question came to my mind which is : Does it have any physical meaning if I just think it from Mathematics? Is there possible way to evaluate it?
  • Usually the book wrote that
  • $$\int dx dy dz d p_x dp_y dp_z=V4\pi (\frac{hv}{c})^2 h\frac{dv}{c}$$
  • I am not sure if I wrote it correctly cause I had taken the image of that book illegally that's why I couldn't take whole equation pic but I didn't notice it that time.
  • I was reading a Physics book. Then I saw an equation which was looking like this :
  • $$\int dx dy dz d p_x dp_y dp_z$$
  • I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question came to my mind which is : Does it have any physical meaning if I just think it from Mathematics? Is there possible way to evaluate it?
  • Usually the book wrote that
  • $$\int dx dy dz d p_x dp_y dp_z=V4\pi (\frac{hv}{c})^2 h\frac{dv}{c}$$
  • I am not sure if I wrote it correctly cause I had taken the image of that book illegally that's why I couldn't take whole equation pic but I didn't notice it that time.
  • I didn't see this kind integral in my calculus book.
#1: Initial revision by (deleted user) · 2021-09-21T16:02:49Z (about 3 years ago)
$\int dx dy dz d p_x dp_y dp_z$ Does it have any physical meaning?
I was reading a Physics book. Then I saw an equation which was looking like this :

$$\int dx dy dz d p_x dp_y dp_z$$

I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question came to my mind which is : Does it have any physical meaning if I just think it from Mathematics? Is there possible way to evaluate it?

Usually the book wrote that 

$$\int dx dy dz d p_x dp_y dp_z=V4\pi (\frac{hv}{c})^2 h\frac{dv}{c}$$

I am not sure if I wrote it correctly cause I had taken the image of that book illegally that's why I couldn't take whole equation pic but I didn't notice it that time.