# Relativistic quantum mechanics of spin-0 and spin-1 bosons

@article{Ghose1996RelativisticQM, title={Relativistic quantum mechanics of spin-0 and spin-1 bosons}, author={Partha Ghose}, journal={Foundations of Physics}, year={1996}, volume={26}, pages={1441-1455} }

It is shown that below the threshold of pair creation, a consistent quantum mechanical interpretation of relativistic spin-0 and spin-1 particles (both massive and mussless) ispossible based an the Hamiltonian-Schrödinger form of the firstorder Kemmer equation together with a first-class constraint. The crucial element is the identification of a conserved four-vector current associated with the equation of motion, whose time component is proportional to the energy density which is constrainedto…

## 24 Citations

On the uniqueness of paths for spin-0 and spin-1 quantum mechanics

- Physics
- 2004

Abstract The uniqueness of the Bohmian particle interpretation of the Kemmer equation, which describes massive spin-0 and spin-1 particles, is discussed. Recently the same problem for spin-(1/2) was…

Fields on the Poincaré Group: Arbitrary Spin Description and Relativistic Wave Equations

- Physics
- 2000

In this paper, starting from a pure group-theoretic point of view, we develop an approach to describing particles with different spins in the framework of a theory of scalar fields on the Poincaré…

On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential

- Physics
- 2010

The vector couplings in the Duffin–Kemmer–Petiau (DKP) theory have been revised. It is shown that minimal and nonminimal vector potentials behave differently under charge-conjugation and…

Dirac-K\"{a}hler field, spinor technique, and 2-potential approach to electrodynamics with two charges

- Physics, Mathematics
- 2008

From the 16-component Dirac-K\"{a}hler field theory, spinor equations for two types of massless vector photon fields with different parities have been derived. Their equivalent tensor equations in…

Electromagnetic Field in de Sitter Expanding Universe: Majorana--Oppenheimer Formalism, Exact Solutions in non-Static Coordinates

- Physics, Mathematics
- 2014

Tetrad-based generalized complex formalism by Majorana--Oppenheimer is applied to treat electromagnetic field in extending de Sitter Universe in on-static spherically-symmetric coordinates. With the…

FIELD THEORY OF MASSIVE AND MASSLESS VECTOR PARTICLES IN THE DUFFIN KEMMER PETIAU FORMALISM

- Physics, Mathematics
- 2011

Field theory of massive and massless vector particles is considered in the first-order formalism. The Hamiltonian form of equations is obtained after the exclusion of nondynamical components. We…

Spinor wave equation of photon

- Physics
- 2012

In this paper, we give the spinor wave equations of free and unfree photon, which are the differential equation of space-time one order. For the free photon, the spinor wave equations are covariant,…

Research on hidden variable theories: A review of recent progresses

- Physics
- 2005

Abstract Quantum Mechanics (QM) is one of the pillars of modern physics: an impressive amount of experiments have confirmed this theory and many technological applications are based on it.…

Majorana-Oppenheimer approach to Maxwell electrodynamics in Riemannian space-time

- Physics, Mathematics
- 2009

The Riemann -- Silberstein -- Majorana -- Oppengeimer approach to the Maxwell electrodynamics in presence of electrical sources and arbitrary media is investigated within the matrix formalism. The…

Relativistic De Broglie matter wave contains SU(n) symmetry

- Physics
- 2018

We show that the relativistic matter waves of two particle system contains the SU(2) symmetry; the relativistic matter waves of three particle system contains the SU(3) symmetry. Therefore, the…

## References

SHOWING 1-9 OF 9 REFERENCES

Relativistic quantum mechanics of bosons

- Physics
- 1993

Abstract We show that it is possible to use the Klein-Gordon, Proca and Maxwell formulations to construct multi-component relativistic configuration space wavefunctions of spin-0 and spin-1 bosons in…

The Particle Aspect of Meson Theory

- Physics
- 1939

1. Introduction For many years a central problem of theoretical physics has been to set up a satisfactory relativistic theory of elementary particles. This problem is yet far from solution, the…

The Wave Equation for Spin 1 in Hamiltonian Form

- Mathematics
- 1955

If from the differential equations that hold in a Proca field you select the ten that express the time derivatives of the ten components involved, i.e. of the 'electromagnetic' field and its…

The correspondence between the particle and the wave aspects of the meson and the photon

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1946

In the Kemmer formulation of the meson equation certain Γk* matrices are introduced. They are determined completely by the condition that for a Lorentz transformation Γk*Ψ transforms as a vector. The…

Localized States for Elementary Systems

- Physics
- 1949

It is attempted to formulate the properties of localized states on the basis of natural invariance requirements. Chief of these is that a state, localized at a certain point, becomes, after a…

The Quantum Theory of Motion

- Physics
- 1993

A lubrication and sealing system for the cylinder head of an internal combustion engine having a sleeve valve mounted for rotation therein, said sleeve valve having intake slots therethrough which…

Uber einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt

- Physics
- 1905

Este material fue digitalizado en el marco del Proyecto subvencionado por la Fundacion Antorchas y se encuentra en la Biblioteca del Departamento de Fisica de la Facultad de Ciencias Exactas de la…