Particles and ideas

Thomas Parr

Louis de Broglie

When in the spring of 1926 Erwin Schrödinger set out the form of the equation for wave propagation and drew important conclusions from it, in some very elegant work which appeared to develop the ideas which I had introduced in 1923–24 (de Broglie 1924), he really profoundly modified the ideas which had guided me two years earlier in my original research. For his idea was that although the ψ wave which he was introducing was still a true physical wave propagated in space and time, it would not have any single area of high field concentration which could be a particle; whereas in my original concept I assumed that the coexistence of waves and particles, perceived by Einstein in 1905 in respect of light in his theory of light quanta, should be extended to all types of particle in the form of the coexistence of a physical wave with a particle incorporated in it.

Y. Tsue, Constança Providência, João da Providência +1 more

The minimum weight states of the Lipkin model consisting of n single-particle levels and obeying the su(n)-algebra are investigated systematically. The basic idea is to use the su(2)-algebra which is independent of the su(n)-algebra. This idea has been already presented by the present authors in the case of the conventional Lipkin model consisting of two single-particle levels and obeying the su(2)-algebra. If following this idea, the minimum weight states are determined for any fermion number occupying appropriately n single-particle levels. Naturally, the conventional minimum weight state is included: all fermions occupy energetically the lowest single-particle level in the absence of interaction.

Catherine Brahic, Richard Webb

Sergio Hernández-Zapata

In this paper we intend to extend some ideas of a recently proposed Lorentz-invariant Bohmian model, obeying Klein-Gordon equations, but considering particles with a spin different than zero. First we build a Bohmian model for a single particle, closely related to the Bohm-Dirac model, but using Nikolic's ideas on a space-time probability density and the introduction of a synchronization parameter σfor the particle trajectory. We prove that, in the case of a spinor whose component phases become equal when \plank \to 0, it is possible to use the usual Bohmian Mechanics procedures to obtain the classical limit. We extend these ideas for a two-particle system, based on two non-local but covariant Dirac-like equations.

Henry Pierce Stapp