Fermion Operator Ordering and the Quantum c-Number Correspondence

1969 ◽  
Vol 37 (12) ◽  
pp. 1239-1241 ◽  
Author(s):  
C. L. Mehta ◽  
A. K. Jaiswal
Keyword(s):  
Fermion Operator ◽  
Operator Ordering

Does Operator Ordering Need Wormhole Dominance in the Wavefunction of the Universe?

2003 ◽  
Vol 35 (4) ◽  
pp. 545-566 ◽  
Author(s):  
S. Biswas ◽  
I. Chowdhury ◽  
P. Misra
Keyword(s):  
Operator Ordering ◽  
The Universe

scholarly journals Operator Ordering and Solution of Pseudo-Evolutionary Equations

Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 35
Author(s):  
Nicolas Behr ◽  
Giuseppe Dattoli ◽  
Ambra Lattanzi
Keyword(s):  
Differential Equations ◽  
Central Importance ◽  
Initial Value ◽  
Evolutionary Equations ◽  
Explicit Formulation ◽  
Operator Ordering ◽  
Promising Tool ◽  
Dyson Series ◽  
Fractional Differential

The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential equation setting. A combination of techniques, involving procedures of umbral and of operational nature, has been demonstrated to be a very promising tool in order to approach within a unifying context non-canonical evolution problems. This article covers the extension of this approach to the solution of pseudo-evolutionary equations. We will comment on the explicit formulation of the necessary techniques, which are based on certain time- and operator ordering tools. We will in particular demonstrate how Volterra-Neumann expansions, Feynman-Dyson series and other popular tools can be profitably extended to obtain solutions for fractional differential equations. We apply the method to several examples, in which fractional calculus and a certain umbral image calculus play a role of central importance.

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