Im sorry, i don't know what you mean by that, you mean i should assume r1 as a constant and analyse how |r2-r1|^2 behaves in this condition ?Abhishek11235 said:Try putting one variable on the axis
No!Isotropicaf said:you mean i should assume r1 as a constant and analyse how |r2-r1|^2 behaves in this condition ?
Oh thanks that totally solved my problem, seems obvious now ahah just to check, the integral of the sum is the sum of the integrals?Abhishek11235 said:No!
##|r_2-r_1|=\sqrt{r_2^2+r_1^2-2r_2 r_1cos\theta}##
Now the integrations are easy!
The integral of relative distance-dependent potential is a mathematical concept used in physics and chemistry to calculate the energy associated with the interaction between two particles at a given distance. It takes into account the distance between the particles and the strength of their interaction.
The integral is calculated by integrating the relative distance-dependent potential function over the entire distance range between the two particles. This involves finding the anti-derivative of the potential function and evaluating it at the given distance limits.
The integral provides a measure of the total energy associated with the interaction between two particles. It can be used to understand the stability of a system and predict the behavior of particles at different distances.
The integral of relative distance-dependent potential is closely related to the concept of potential energy, which is the energy associated with the position of particles in a system. It is also related to the concept of force, as the derivative of the potential function gives the force between the particles.
Yes, the concept can be applied to any type of interaction between two particles, such as gravitational, electrostatic, or van der Waals interactions. However, the specific form of the potential function may vary depending on the type of interaction being studied.