By using the stress-energy-momentum tensor. If we're speaking classically then one must not allow the particle to be a point particle since then you run into infinite energy.Abu Abdallah said:Energy is not an invariant quantity between different frames of reference. For example a particle having a kinetic energy in one frame has a zero kinetic energy in another frame. But what about interaction energy? If I know the interaction energy between 2 particles in one frame, how can I calculate that energy in another one?
The mutual potential energy between to objects is a good example.Ich said:What is an interaction energy?
Probably the paperAbu Abdallah said:Energy is not an invariant quantity between different frames of reference. For example a particle having a kinetic energy in one frame has a zero kinetic energy in another frame. But what about interaction energy? If I know the interaction energy between 2 particles in one frame, how can I calculate that energy in another one?
Interaction energy is the potential energy associated with the interaction between particles or objects. It is a measure of the energy required to bring two particles or objects together, or the energy released when they move apart.
According to the principle of relativity, the laws of physics should be the same in all inertial frames. This means that the interaction energy should also be the same in all inertial frames. However, the expression for interaction energy may differ in different frames because of the different ways in which time and distance are measured.
The equation for interaction energy depends on the type of interaction. For example, the interaction energy between two particles due to their gravitational attraction is given by the formula E = -Gm1m2/r, where G is the gravitational constant, m1 and m2 are the masses of the particles, and r is the distance between them.
Interaction energy is a type of potential energy. It is the energy associated with the relative position of particles or objects, and it can be converted into other forms of energy, such as kinetic energy, when the particles or objects move. Potential energy is a more general term that encompasses all types of energy associated with the position or configuration of a system.
In most cases, interaction energy is not a conserved quantity. This means that it can change as particles or objects interact with each other. However, in some special cases, such as in a perfectly elastic collision, interaction energy may be conserved.