Relation To Coulomb Potential
If the mass is zero (i.e., m=0), then the Yukawa potential equals a Coulomb potential, and the range is said to be infinite. In fact, we have:
Consequently, the equation
simplifies to the form of the Coulomb potential
A comparison of the long range potential strength for Yukawa and Coulomb is shown in Figure 2. It can be seen that the Coulomb potential has effect over a greater distance whereas the Yukawa potential approaches zero rather quickly. Note however, that any Yukawa potential or Coulomb potential are non-zero for any large r.
Read more about this topic: Yukawa Potential
Famous quotes containing the words relation to, relation and/or potential:
“Hesitation increases in relation to risk in equal proportion to age.”
—Ernest Hemingway (1899–1961)
“To be a good enough parent one must be able to feel secure in one’s parenthood, and one’s relation to one’s child...The security of the parent about being a parent will eventually become the source of the child’s feeling secure about himself.”
—Bruno Bettelheim (20th century)
“Silence is as full of potential wisdom and wit as the unhewn marble of great sculpture. The silent bear no witness against themselves.”
—Aldous Huxley (1894–1963)