By W.-H Steeb
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Additional resources for A handbook of terms used in chaos and quantum chaos
K . , p. 53. Amano's description of these circumstances is in particular excellent. As a materialist, he gives really a sharp critique of Machism. 13 18 Quantum of Radiation affirmed with certainty, however, because these experiments were difficult ones. Because of the fact, in addition to the prevailing belief in Wien's distribution formula, that Planck succeeded in deriving Wien's formula from Wien's displacement law together with a simple consideration, according to which the inverse of the second derivative of the entropy of an oscillator with respect to its energy was proportional to the energy, Planck thought that Wien's distribution formula was a correct law.
D. Deut. Phys. Gesel. 2 (1900), 202. 22 )Cf. K. , p. 169. 20 Atomistic Investigations of Black Body Radiation 25 Among such expressions, one that is next to Wien's in simplicity makes a special impression on Planck. It is obtained by putting d2S dU2 a U(J3 + U) (59) This is the simplest of all the equations giving 5 as a logarithmic function of U, which lies near to the probability theoretical calculation. For small values of U the right hand side of Eq. (59) behaves as a U(J3 + U) a//3 U (60) tending to the expression to give Wien's formula.
Wien considers first, as an assumption, that every molecule emits radiation of a certain wavelength and intensity, both of which depend only on its velocity. Though a variety of arbitrary suppositions can be made, he chooses to make a simple and general supposition as far as possible. Because the wavelength A of the radiation emitted by a molecule of velocity v is a function of v, v is inversely a function of A. Wien assumes thus that the intensity