The Quantum Theory and Homogeneous Vibrations

Abstract

IN the quantum theory as usually presented a finite amount of energy is associated with a periodic disturbance which is called “homogeneous”. I desire to raise the question whether the use of that term is defensible. Both in optics and in acoustics the word “homogeneity” has acquired a definite meaning which is inconsistent with its application to quanta. In fact, the affirmation of quanta involves a denial of homogeneity. To avoid misunderstandings and obscurities we must either abandon the hitherto recognised definition of that word as applied to oscillations, or avoid its use in the formulation of the quantum theory. I submit that the second alternative is preferable.