reciprocal exponential function


last updated: 20030801 
The curve has asymptotes for x = 1 and y = 0.
It has two parts, the left side in the picture is to be seen in quantum mechanics. Given
a set of harmonic oscillators, the proportion of the amount in quantum state n+1 to the
amount in state n  as function of the temperature  is given by the curve ^{1)}.
The right side can be found (as inverse), for the density of primes ^{2)}.
The function is also called the modified exponential function.
Its inverse is the reciprocal logarithm.
notes
1) Kittel 1976 p.128.
2) y = 1 / ln(n), Blij 1990 p.14.
