The potential problem

1. Jan 27, 2010

vin300

I saw today in Ohanian's book:
"It is convenient to separate particle energies into kinetic and rest mass energies:
M=∑m +(∑T/c^2 +U/c^2)
The term in the paranthesis is negative for a bound system,hence the total mass is less than the sum of the particle rest masses"
I thought the rest masses were indeed less.If it is otherwise, there's a problem with the Energy momentum four vector

Last edited: Jan 27, 2010
2. Jan 27, 2010

Staff: Mentor

This is correct. The "missing" mass is called the "mass deficit" and that mass/c^2 is called the "binding energy". Note, the mass deficit only appears when the binding energy has been removed from the system, usually either through radiation or through doing work on another system.
The problem goes away if you include the four-momentum of the binding energy which left the system.

Last edited: Jan 27, 2010