• Publications
  • Influence
The quantum theory of the electron
The new quantum mechanics, when applied to the problem of the structure of the atom with point-charge electrons, does not give results in agreement with experiment. The discrepancies consist of
Quantised Singularities in the Electromagnetic Field
The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced. This is only natural and to be expected. What, however, was not expected by
Classical theory of radiating electrons
The Lorentz model of the electron as a small sphere charged with electricity, possessing mass on account of the energy of the electric field around it, has proved very valuable in accounting for the
The Quantum Theory of the Emission and Absorption of Radiation
The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory
Generalized Hamiltonian Dynamics
  • P. Dirac
  • Mathematics
    Canadian Journal of Mathematics
  • 1950
1. Introduction. The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities. An alternative general form was
Note on Exchange Phenomena in the Thomas Atom
For dealing with atoms involving many electrons the accurate quantum theory, involving a solution of the wave equation in many-dimensional space, is far too complicated to be practicable. One must
A Remarkable Representation of the 3 + 2 de Sitter Group
Among the infinitesimal operators of the 3 + 2 de Sitter group, there are four independent cyclic ones, one of which is separate from the other three. A representation is obtained for which this one
Generalized Hamiltonian dynamics
  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London…
  • 19 August 1958
The author’s procedure for passing from the Lagrangian to the Hamiltonian when the momenta are not independent functions of the velocities is put into a simpler and more practical form, the main