High-precision relativistic atomic structure calculations based on the relativistic many-body perturbation theory and the relativistic configuration-interaction method are shown to provide stringent tests of strong-field quantum electrodynamic (QED) corrections when compared with electron beam ion trap measurements of the spectra of highly-charged, manyelectron ions. It is further shown that th...

In 1999, F.A.B. Coutinho, Y.Nogami and Lauro Tomio published a paper entitled “Two definitions of the electric polarizability of a bound system in relativistic quantum theory”. The authors of ref.(1), dicussed the possibility of two definitions of the relativistic electric polarizability and the difference between the two definitions. In addition, the authors relate their definitions to the ele...

We propose a generalization of the standard geometric formulation of quantum mechanics, based on the classical Nambu dynamics of free Euler tops. This extended quantum mechanics has in lieu of the standard exponential time evolution, a nonlinear temporal evolution given by Jacobi elliptic functions. In the limit where latter’s moduli parameters are set to zero, the usual geometric formulation o...

Chapter 1: Jeremy Butterfield, “On Symplectic Reduction in Classical Mechanics.” Chapter 2: Gordon Belot, “The Representation of Time and Change in Mechanics.” Chapter 3: David Malament, “Classical Relativity Theory.” Chapter 4: Michael Dickson, “Non-Relativistic Quantum Mechanics.” Chapter 5: Klaas Landsman, “Between Classical and Quantum.” Chapter 6: Jeffrey Bub, “Quantum Information and Comp...

We study the time evolution of decaying particles in the framework of certain renormalizable models of relativistic quantum field theory. Significant differences between the latter and the non-relativistic quantum mechanical case are found —in particular, regarding the so-called quantum Zeno effect. In some cases, the finite time behaviour is well defined after having performed a conventional r...

We analyze the restrictions on distinguishability of quantum states imposed by special relativity. An explicit expression relating the error probability for distinguishing between two orthogonal single-photon states to the time interval T between the beginning of the measurement procedure and the moment when the measurement result is obtained by the observer. Many problems of non-relativistic q...