My Math Forum POTENTIAL: sum ∑ to integral

 Applied Math Applied Math Forum

 November 24th, 2016, 01:15 AM #1 Newbie   Joined: Nov 2016 From: belgrade Posts: 2 Thanks: 0 POTENTIAL: sum ∑ to integral Hi, I'm new to this forum. I have a task to do: positive charged particle (proton in this case) is traversing throught channel in crystal lattice ((100) direction in FCC crystal for example). But in my case thing is little more simple: positive particle i passing near row (string) of atoms that are all on same spacing "d". 123.jpg Total potential is sum of all potentials from every single atom in row: U(total) = ∑ Ui(Ri), where Ri is distance from positive particle to i-th atom in row. So sum goes from first particle in row to last particle in row, and "i" is number of particles in row. How come that this sum can be changed with integral? Integral is: 111.jpg What is procedure, step by step for this equation? Thank You, Nikola
 November 24th, 2016, 09:40 AM #2 Math Team     Joined: May 2013 From: The Astral plane Posts: 1,764 Thanks: 707 Math Focus: Wibbly wobbly timey-wimey stuff. Please do not double post. -Dan

 Tags ∑, integral, potential, sum

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post taylor_1989_2012 Physics 10 April 18th, 2016 11:12 AM Jmun Physics 3 September 11th, 2015 01:42 AM OriaG Calculus 2 May 25th, 2013 02:59 PM everettjsj2 Calculus 2 February 27th, 2010 05:14 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top