An Undulatory Theory of the Mechanics of Atoms and Molecules
Abstract
The paper gives an account of the author's work on a new form of quantum theory. §1. The Hamiltonian analogy between mechanics and optics. §2. The analogy is to be extended to include real "physical" or "undulatory" mechanics instead of mere geometrical mechanics. §3. The significance of wavelength; macromechanical and micromechanical problems. §4. The waveequation and its application to the hydrogen atom. §5. The intrinsic reason for the appearance of discrete characteristic frequencies. §6. Other problems; intensity of emitted light. §7. The waveequation derived from a Hamiltonian variationprinciple; generalization to an arbitrary conservative system. §8. The wavefunction physically means and determines a continuous distribution of electricity in space, the fluctuations of which determine the radiation by the laws of ordinary electrodynamics. §9. Nonconservative systems. Theory of dispersion and scattering and of the "transitions" between the "stationary states." §10. The question of relativity and the action of a magnetic field. Incompleteness of that part of the theory.
 Publication:

Physical Review
 Pub Date:
 December 1926
 DOI:
 10.1103/PhysRev.28.1049
 Bibcode:
 1926PhRv...28.1049S