Differential calculus onN-dimensional quantum space

1994 ◽  
Vol 109 (3) ◽  
pp. 239-245 ◽  
Author(s):  
Won-Sang Chung
1993 ◽  
Vol 08 (39) ◽  
pp. 3741-3748 ◽  
Author(s):  
TATSUO KOBAYASHI

We study differential calculus on h-deformed bosonic and fermionic quantum space. It is shown that the fermionic quantum space involves a parafermionic variable as well as a classical fermionic one. Further we construct the classical su(2) algebra on the fermionic quantum space and discuss a mapping between the classical su(2) and the h-deformed su(2) algebras.


2006 ◽  
Vol 21 (30) ◽  
pp. 2323-2330 ◽  
Author(s):  
M. EL BAZ

In this paper, a generalization and extension of some recent results is proposed. Namely, a four-dimensional quantum space is constructed and a differential calculus, obeying the usual criteria of covariance, is built upon this space. These results are then used to construct a gauge theory on this four-dimensional quantum space.


2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  

Сonanical quantum space-time and the arrow time


Author(s):  
Sandip Moi ◽  
Suvankar Biswas ◽  
Smita Pal(Sarkar)

AbstractIn this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.


Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 438
Author(s):  
Viliam Ďuriš ◽  
Renáta Bartková ◽  
Anna Tirpáková

The probability theory using fuzzy random variables has applications in several scientific disciplines. These are mainly technical in scope, such as in the automotive industry and in consumer electronics, for example, in washing machines, televisions, and microwaves. The theory is gradually entering the domain of finance where people work with incomplete data. We often find that events in the financial markets cannot be described precisely, and this is where we can use fuzzy random variables. By proving the validity of the theorem on extreme values of fuzzy quantum space in our article, we see possible applications for estimating financial risks with incomplete data.


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