SOFT COMPUTING ARTICIAL INTELLIGENCE OF SCHRöDINGER TIME INDEPENDENT EQUATION ARISES IN WHEELER-DEWITT MODEL OF QUANTUM COSMOLOGY
- Authors: Basat N.U.1, Asghar M.2
- 
							Affiliations: 
							- Department of Mathematics, Grand Asian University Sialkot, Pasrur Road,
- Department of Mathematics, University of Gujrat, Haz Hayyat Campus,
 
- Issue: Vol 63, No 11 (2023)
- Pages: 1936-1936
- Section: Computer science
- URL: https://rjeid.com/0044-4669/article/view/664959
- DOI: https://doi.org/10.31857/S0044466923110078
- EDN: https://elibrary.ru/AJKJRN
- ID: 664959
Cite item
Abstract
Schrödinger time independent equation arises in Wheeler–DeWitt model of quantum cosmology to develop a wave function for the corrections of cosmologies. In this work, k=0  rödinger–Wheeler–DeWitt model is developed by using canonical transformation to transformed Hamiltonian equation. The exact solutions for flat universe (
) model is presented and then soft computing technique through Levenberg–Marquardt backpropagation neural networks (LMB-NNs) is implemented. The data set of the flat universe model is generated for four different cases of separation constant B  with step size 0.1  by Mathematica and imported into LMB-NNs for training, testing, and validation of the our proposed technique. The performance of LMB-NNs is provided by the validation of mean square error, error histogram, and regression analysis. The Statistical analysis; mean, minimum, maximum, and standard deviation, is also presented.
About the authors
Najam Ul Basat
Department of Mathematics, Grand Asian University Sialkot, Pasrur Road,
														Email: najam.basat@gaus.edu.pk
				                					                																			                												                								Pakistan, 51310, Punjab, Sialkot						
Mahmoona Asghar
Department of Mathematics, University of Gujrat, Haz Hayyat Campus,
							Author for correspondence.
							Email: 17016109-006@uog.edu.pk
				                					                																			                												                								Pakistan, 50700,, Punjab, Gujrat						
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