A nonlocal infinite-component wave equation with a physical mass spectrum

1970 ◽  
Vol 70 (3) ◽  
pp. 329-343 ◽  
Author(s):  
R. Casalbuoni ◽  
G. Longhi
Keyword(s):  
Wave Equation ◽  
Mass Spectrum ◽  
Physical Mass ◽  
Component Wave ◽  
Infinite Component

Relativistic infinite-component wave equation for H-Atom with spin

1969 ◽  
Vol 30 (6) ◽  
pp. 352-353 ◽  
Author(s):  
A.O. Barut ◽  
A. Baiquni
Keyword(s):  
Wave Equation ◽  
Component Wave ◽  
Infinite Component

Introduction of internal coordinates into the infinite-component Majorana equation

1973 ◽  
Vol 333 (1593) ◽  
pp. 217-224 ◽  
Keyword(s):  
Wave Equation ◽  
Negative Energy ◽  
Second Order ◽  
New Wave ◽  
Quantum Numbers ◽  
Internal Coordinates ◽  
Scattering State ◽  
Component Wave ◽  
Infinite Component

Given an infinite-component wave equation describing the global quantum numbers of a system one can introduce various internal dynamical coordinates such that ‘constituents’ will appear to move in an oscillator or in a Kepler potential, or, in principle, in other potentials. This is explicitly shown for the Majorana equation. The space-like solutions of the Majorana equations correspond to the scattering state-solutions in terms of the constituent ‘particles’. Light-like solutions and a generalized second-order Majorana equation are also treated in a similar way. Relation to Dirac’s new wave equation without negative energy solutions is discussed.

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