To gain some idea of the new theory of dense matter we can begin by
referring to the photograph of the Balmer Series in Fig. 9. This shows
the light radiated by a large number of hydrogen atoms in all possible
states up to No. 30 in the proportions in which they occur naturally in
the sun’s chromosphere. The old-style electromagnetic theory predicted
that electrons moving in curved paths would radiate continuous
light; and the old-style statistical theory predicted the relative
abundance of orbits of different sizes, so that the distribution
of light along this continuous spectrum could be calculated. These
predictions are wrong and do not give the distribution of light shown
in the photograph; _but they become less glaringly wrong as we draw
near to the head of the series_. The later lines of the series
crowd together and presently become so close as to be practically
indistinguishable from continuous light. Thus the classical prediction
of continuous spectrum is becoming approximately true; simultaneously
the classical prediction of its intensity approaches the truth. There
is a famous Correspondence Principle enunciated by Bohr which asserts
that for states of very high number the new quantum laws merge into the
old classical laws. If we never have to consider states of low number
it is indifferent whether we calculate the radiation or statistics
according to the old laws or the new.
In high-numbered states the electron is for most of the time far
distant from the nucleus. Continuous proximity to the nucleus indicates
a low-numbered state. Must we not expect, then, that in extremely
dense matter the continuous proximity of the particles will give
rise to phenomena characteristic of low-numbered states? There is
no real discontinuity between the organization of the atom and the
organization of the star; the ties which bind the particles in the
atom, bind also more extended groups of particles and eventually the
whole star. So long as these ties are of high quantum number, the
alternative conception is sufficiently nearly valid which represents
the interactions by forces after the classical fashion and takes no
cognizance of ‘states’. For very high density there is no alternative
conception, and we must think not in terms of force, velocity, and
distribution of independent particles, but in terms of states.
Public-domain text, read in full here on John Shaqi.
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