Volume 3: Pages 99-104, 1990

Variational Formulation of the Covariant Modified Schrödinger Equation

S. C. Tiwari ¹

¹c/o Ram Singh Tiwari, Bhawara Gali, Bayana — 321401, Rajasthan India

A structure of the electron is presented, based on the model proposed by the author. Assuming the electronic charge to be a scalar field, and using the variational principle, a new action function in Weyl geometry leads to a set of field equations. These equations are identified as the Einstein‐Maxwell‐Schrödinger equations. It is proposed that the covariant modified Schrödinger equation describes electron dynamics at the subatomic level. The ψ function of quantum mechanics is replaced by an in‐invariant field in Weyl geometry. Tentative ideas to test the massless electron motion in ballistic devices and superconductors are also discussed.

Keywords: electron structure, composite photon, massless electron, action function, Weyl geometry, Schr̈odinger equation, ballistic device and superconductors

Received: October 18, 1988; Published Online: December 15, 2008