The derivative of this quantity with respect to a position gives the force field, and for a spring, it is given by one-half times the spring constant times the displacement squared.
Anfinsen's thermodynamic hypothesis uses the minimum of this quantity to predict protein structures, and in the Henon-Heiles equation, this quantity is given by "one half r-squared plus one-third r-cubed times sine of 3-theta." The Jeans length gives the scale at which one form of this quantity will result in the stability of a gas cloud. For a dipole in an electric field, it is the negative dot product of the moment and the electric field.  The derivative of this quantity with respect to a position gives the force field, and for a spring, it is given by one-half times the spring constant times the displacement squared. For ten points, identify this quantity, the energy a system has by virtue of its configuration.
Anfinsen's thermodynamic hypothesis uses the minimum of this quantity to predict protein structures, and in the Henon-Heiles equation, this quantity is given by "one half r-squared plus one-third r-cubed times sine of 3-theta."
potential energy