scholarly journals Variational Formulation for Quaternionic Quantum Mechanics

2010 ◽  
Vol 20 (3-4) ◽  
pp. 745-763 ◽  
Author(s):  
C. A. M. de Melo ◽  
B. M. Pimentel
Keyword(s):  
Quantum Mechanics ◽  
Variational Formulation ◽  
Quaternionic Quantum Mechanics

Nonrelativistic quaternionic quantum mechanics in one dimension

1989 ◽  
Vol 40 (8) ◽  
pp. 4209-4214 ◽  
Author(s):  
A. J. Davies ◽  
B. H. J. McKellar
Keyword(s):  
Quantum Mechanics ◽  
One Dimension ◽  
Quaternionic Quantum Mechanics

scholarly journals A ONE-COMPONENT DIRAC EQUATION

1996 ◽  
Vol 11 (21) ◽  
pp. 3973-3985 ◽  
Author(s):  
STEFANO DE LEO
Keyword(s):  
Quantum Mechanics ◽  
Wave Equation ◽  
Dirac Equation ◽  
Wave Functions ◽  
Free Wave ◽  
Quaternionic Quantum Mechanics

We develop a relativistic free wave equation on the complexified quaternions, linear in the derivatives. Even if the wave functions are only one-component, we show that four independent solutions, corresponding to those of the Dirac equation, exist. A partial set of translations between complex and complexified quaternionic quantum mechanics may be defined.

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