Ettore Majorana : unpublished research notes on theoretical physics

  title={Ettore Majorana : unpublished research notes on theoretical physics},
  author={Salvatore Esposito and Erasmo Recami and Alwyn van der Merwe and Roberto Battiston},
I.- Dirac Theory.- Quantum Electrodynamics.- II.- Atomic Physics.- Molecular Physics.- Statistical Mechanics.- III.- The Theory of Scattering.- Nuclear Physics.- IV.- Classical Physics.- Mathematical Physics. 

Majorana Solutions to the Two-Electron Problem

The two-electron atom is the simplest nontrivial quantum system not amenable to exact solutions. Today, its relevance in the development of quantum mechanics and its pedagogical value within the

The Photon Wave Function

The properties of a wave equation for a six-component wave function of a photon are re-analyzed. It is shown that the wave equation presents all the properties required by quantum mechanics, except

Spinor Structure and Matter Spectrum

Classification of relativistic wave equations is given on the ground of interlocking representations of the Lorentz group. A system of interlocking representations is associated with a system of

Colloquium : Ettore Majorana and the birth of autoionization

In some of the first applications of modern quantum mechanics to the spectroscopy of many-electron atoms, Ettore Majorana in 1931 solved several outstanding problems by developing the theory of

An infinite supermultiplet of massive higher-spin fields

The representation theory underlying the inflnite-component relativistic wave equation written by Majorana is revisited from a modern perspective. On the one hand, the massless solutions of this

Ettore Majorana and his heritage seventy years later

The physicists working in several areas of research know quite well the name of Ettore Majorana, since it is currently associated to fundamental concepts like Majorana neutrinos in particle physics

On the quantization of the extremal Reissner-Nordström black hole

Following Rosen's quantization rules, two of the authors (C. Corda and F. Feleppa) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless “star

Shape resonance for the anisotropic superconducting gaps near a Lifshitz transition: the effect of electron hopping between layers

Multigap superconductivity modulated by quantum confinement effects in a superlattice of quantum wells is presented. Our theoretical BCS approach captures the low-energy physics of a shape resonance



Following Weyl on Quantum Mechanics: The Contribution of Ettore Majorana

After a quick historical account of the introduction of the group-theoretical description of quantum mechanics in terms of symmetries, as proposed by Weyl, we examine some unpublished papers by

A Majorana-Oppenheimer formulation of quantum electrodynamics

SummaryIt is shown that, according to suggestions by Majorana and Oppenheimer, it is possible to formulate quantum electrodynamics in terms of the same formalism in a Dirac’s electron theory, thus

Majorana and the path-integral approach to Quantum Mechanics

We give, for the first time, the English translation of a manuscript by Ettore Majorana, which probably corresponds to the text for a seminar delivered at the University of Naples in 1938, where he

An unknown story: Majorana and the Pauli‐Weisskopf scalar electrodynamics

An account is given of an interesting but unknown theory by Majorana regarding scalar quantum electrodynamics, elaborated several years before the known Pauli‐Weisskopf theory. Theoretical

Fermi, Majorana and the Statistical Model of Atoms

We give an account of the appearance and first developments of the statistical model of atoms proposed by Thomas and Fermi, focusing on the main results achieved by Fermi and his group in Rome.

A symmetric theory of electrons and positrons

It is shown that it is possible to achieve complete formal symmetrization in the electron and proton quantum theory by means of a new quantization process. The meaning of Dirac equations is somewhat

Ettore Majorana : notes on theoretical physics

Volumetto I.- Volumetto II.- Volumetto III.- Volumetto IV.- Volumetto V.- Selected facsimile pages.

Covariant Majorana Formulation of Electrodynamics

We construct an explicit covariant Majorana formulation of Maxwell electromagnetism which does not make use of vector 4-potential. This allows us to write a “Dirac” equation for the photon containing

Ettore Majorana’s Course on Theoretical Physics: A Recent Discovery

We analyze in some detail the course that Ettore Majorana gave on theoretical physics at the University of Naples between January and March 1938, just prior to his mysterious disappearance. We

Majorana and the Quasi-Stationary States in Nuclear Physics

Abstract A complete theoretical model describing artificial disintegration of nuclei by bombardment with α-particles, developed by Majorana as early as 1930, is discussed in detail jointly with the