The Weyl Algebra and the Canonical Commutation Relation

2020 ◽  
pp. 153-185
Author(s):  
Konrad Schmüdgen
Keyword(s):  
Commutation Relation ◽  
Weyl Algebra ◽  
Canonical Commutation Relation

scholarly journals Deformation of the Wheeler–DeWitt equation

2014 ◽  
Vol 29 (20) ◽  
pp. 1450106 ◽  
Author(s):  
Mir Faizal
Keyword(s):  
Commutation Relation ◽  
Canonical Commutation Relation ◽  
Big Bang ◽  
Minimum Length ◽  
Second Quantization ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
The Big Bang ◽  
Big Bang Singularity ◽  
Modified Theory

In this paper, we will analyze the consequences of deforming the canonical commutation relations consistent with the existence of a minimum length and a maximum momentum. We first generalize the deformation of first quantized canonical commutation relation to second quantized canonical commutation relation. Thus, we arrive at a modified version of second quantization. A modified Wheeler–DeWitt equation will be constructed by using this deformed second quantized canonical commutation relation. Finally, we demonstrate that in this modified theory the big bang singularity gets naturally avoided.

scholarly journals Hyperfinite-dimensional representations of canonical commutation relation

1998 ◽  
Vol 39 (5) ◽  
pp. 2682-2692 ◽  
Author(s):  
Hideyasu Yamashita
Keyword(s):  
Commutation Relation ◽  
Canonical Commutation Relation

Canonical commutation relation for operators with bounded spectrum

1976 ◽  
Vol 56 (5) ◽  
pp. 345-346 ◽  
Author(s):  
T.S. Santhanam
Keyword(s):  
Commutation Relation ◽  
Canonical Commutation Relation

scholarly journals Characterizing multiple solutions to the time-energy canonical commutation relation via internal symmetries

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
Roland Cristopher F. Caballar ◽  
Leonard R. Ocampo ◽  
Eric A. Galapon
Keyword(s):  
Commutation Relation ◽  
Multiple Solutions ◽  
Canonical Commutation Relation ◽  
Internal Symmetries

Infrared singular fields and nonregular representations of canonical commutation relation algebras

1993 ◽  
Vol 34 (3) ◽  
pp. 899-914 ◽  
Author(s):  
F. Acerbi ◽  
G. Morchio ◽  
F. Strocchi
Keyword(s):  
Commutation Relation ◽  
Canonical Commutation Relation ◽  
Relation Algebras
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