Abstract
AbstractThe Einsteinian quantum mechanics proposed by Horwitz, Piron, and Reuse is formulated in a way appropriate for atomic and molecular calculations. In this theory each particle is described by a four‐coordinate xμ = (ct, x), and the existence of a common Lorenz invariant time ordering parameter τ is postulated. For spin‐½ particles there exists in addition a superselection rule n defined by the Stern–Gerlach experiment. The description of an atom/molecule in the external approximation is given. We then formulate a method (the self‐consistent energy method) by which conventional calculation procedures can be applied within the theory. The calculation of the expectation value of a singular term which is the analog of the conventional Darwin term, is demonstrated by calculating the energy of an electron in a Coulomb field to the order α4. This calculation also demonstrates the validity of the Pauli approximation within the theory.
Published Version
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