Geometry can be an unsuspected source of equations with physical relevance, as everybody is aware since Einstein formulated the general theory of relativity. However efforts to extend a similar type of reasoning to other areas of physics, namely electrodynamics, quantum mechanics and particle physics, usually had very limited success; particularly in quantum mechanics the standard formalism is ...

Abstract. The Levi-Civita transformation is applied in the two-dimensional (2D) Dirac and Klein-Gordon (KG) equations with equal external scalar and vector potentials. The Coulomb and harmonic oscillator problems are connected via the LeviCivita transformation. These connections lead to an approach to solve the Coulomb problems using the results of the harmonic oscillator potential in the above...

It is shown that the generally accepted statement that one cannot superpose states of different mass in non-relativistic quantum mechanics is inconsistent. It is pointed out that the extra phase induced in a moving system, which was previously thought to be unphysical, is merely the non-relativistic residue of the “twin-paradox” effect. In general, there are phase effects due to proper time dif...

The Morse problem is investigated in relativistic quantum mechanics. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef Talk at the Brasilian National Meeting on Particles and Fields, October 15 to 19, 2002, Águas de Lindóia-SP, Brazil. To appear in the proceedings, site www.sbf1.if.usp.br/eventos/enfpc/xxiii. Preprint CBPF-NF-006/03, site cbpf.br.

This paper offers a critical assessment of the current state of the debate about the identity and individuality of material objects. Its main aim, in particular, is to show that, in a sense to be carefully specified, the opposition between the Leibnizian „reductionist‟ tradition based on discernibility and the sort of „primitivism‟ that denies that facts of identity and individuality must be an...

This study reconsiders the decay of an ordinary particle in bradyons, tachyons and luxons in the field of the relativistic quantum mechanics. Lemke already investigated this from the perspective of covariant kinematics. Since the decay involves both space-like and time-like particles, the study uses the Majorana equation for particles with an arbitrary spin. The equation describes the tachyonic...

The Lamb shift in hydrogen spectrum is obtained here in the framework of some weak generalization of the classical Maxwell electrodynamics. It is shown that weakly generalized classical Maxwell electrodynamics can describe the intra-atomic phenomena with the same success as relativistic quantum mechanics can do. Group-theoretical grounds for the description of fermionic states by bosonic system...