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:
“Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning “When” are much more numerous than those beginning “Where” of “If.” As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.”
—William Harmon (b. 1938)
“The psychoanalysis of individual human beings, however, teaches us with quite special insistence that the god of each of them is formed in the likeness of his father, that his personal relation to God depends on his relation to his father in the flesh and oscillates and changes along with that relation, and that at bottom God is nothing other than an exalted father.”
—Sigmund Freud (1856–1939)
“Democracy is timelessly human, and timelessness always implies a certain amount of potential youthfulness.”
—Thomas Mann (1875–1955)