A manifestly covariant hamiltonian formalism of relativistic quantum mechanics

L. Ferrari

John R. Fanchi

N. Ionescu-Pallas, I. Gottlieb

Matthias Lienert

In this paper, we report on recent progress about a rigorous and manifestly covariant interacting model for two Dirac particles in 1+1 dimensions [9, 10]. It is formulated using the multi-time formalism of Dirac, Tomonaga and Schwinger. The mechanism of interaction is a relativistic generalization of contact interactions, and it is achieved going beyond the usual functional-analytic Hamiltonian method.

C. A. Lopez, M. A. Pérez

Minoru Omote, S. Kamefuchi

On the basis of a manifestly covariant formalism of non-relativistic quantum mechanics in general coordinate systems, proposed by us recently, we derive general expressions for inertial forces. The results enable us further to discuss, and to explain the validity of, the equivalence principle in non-relativistic quantum mechanics.