Switch to: Citations

Add references

You must login to add references.
  1. Quantum Mechanics of Relativistic Spinless Particles.John R. Fanchi & R. Eugene Collins - 1978 - Foundations of Physics 8 (11-12):851-877.
    A relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  • Four-Space Formulation of Dirac's Equation.A. B. Evans - 1990 - Foundations of Physics 20 (3):309-335.
    Dirac's equation is reviewed and found to be based on nonrelativistic ideas of probability. A 4-space formulation is proposed that is completely Lorentzinvariant, using probability distributions in space-time with the particle's proper time as a parameter for the evolution of the wave function. This leads to a new wave equation which implies that the proper mass of a particle is an observable, and is sharp only in stationary states. The model has a built-in arrow of time, which is associated with (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  • Resolution of the Klein Paradox for Spin-1/2 Particles.John R. Fanchi - 1981 - Foundations of Physics 11 (5-6):493-498.
    The problem of a relativistic spin-1/2 particle scattering from a step potential is solved within the theoretical framework of relativistic dynamics. This treatment avoids the Klein paradox. An experiment for testing the theory is suggested.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   8 citations