A positive-energy relativistic wave equation

1971 ◽  
Vol 322 (1551) ◽  
pp. 435-445 ◽  
Keyword(s):  
Wave Equation ◽  
Physical Theory ◽  
Wave Equations ◽  
Rest Mass ◽  
Physical Significance ◽  
Positive Energy ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Formal Similarity ◽  
New Equation

The relativistic wave equations currently used in physical theory are symmetrical between positive and negative energies. A new relativistic wave equation for particles of non-zero rest-mass is here proposed, allowing only positive values for the energy. There is great formal similarity between it and the usual relativistic wave equation for the electron, but the physical significance is very different. In particular, the new equation gives integral values for the spin.

Generalization and Interpretation of Dirac's Positive-Energy Relativistic Wave Equation

1973 ◽  
Vol 8 (6) ◽  
pp. 1735-1746 ◽  
Author(s):  
L. C. Biedenharn ◽  
M. Y. Han ◽  
H. van Dam
Keyword(s):  
Wave Equation ◽  
Positive Energy ◽  
Relativistic Wave Equation ◽  
Relativistic Wave

A positive-energy relativistic wave equation. II

1972 ◽  
Vol 328 (1572) ◽  
pp. 1-7 ◽  
Keyword(s):  
Wave Equation ◽  
Angular Momentum ◽  
Spherical Shell ◽  
Physical Model ◽  
Gauge Transformation ◽  
Reference Point ◽  
Point Of View ◽  
Positive Energy ◽  
Relativistic Wave Equation ◽  
Relativistic Wave

The wave equation proposed in an earlier paper is examined from the point of view of the Heisenberg picture, for the purpose of getting a physical model. It is found that the position of the particle can roam about over a spherical shell under the influence of a kind of gauge transformation. With the passage of time the shell pulsates. The coordinates of the centre of the shell do not commute. These coordinates provide a reference point for defining orbital angular momentum which leads to zero spin for all momentum values.

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