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Similarity Analytical Solutions for the Schrӧdinger Equation with the Riesz Fractional Derivative in Quantum Mechanics
  • ASIM PATRA
ASIM PATRA
NIT
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Abstract

The present article deals with the similarity method to tackle the fractional Schrӧdinger equation where the derivative is defined in the Riesz sense. Moreover the procedure of reducing a fractional partial differential equation (FPDE) into an ordinary differential equation (ODE) has been efficiently displayed by means of suitable scaled transform to the proposed fractional equation. Furthermore the ODEs are treated effectively via the Fourier transform. The graphical solutions are also depicted for different fractional derivatives .

Peer review status:ACCEPTED

22 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
28 Feb 2020Submission Checks Completed
28 Feb 2020Assigned to Editor
03 Mar 2020Reviewer(s) Assigned
30 May 2020Review(s) Completed, Editorial Evaluation Pending
04 Jun 2020Editorial Decision: Revise Major
09 Jun 20201st Revision Received
10 Jun 2020Submission Checks Completed
10 Jun 2020Assigned to Editor
10 Jun 2020Reviewer(s) Assigned
23 Jun 2020Review(s) Completed, Editorial Evaluation Pending
24 Jun 2020Editorial Decision: Revise Minor
25 Jun 20202nd Revision Received
25 Jun 2020Submission Checks Completed
25 Jun 2020Assigned to Editor
25 Jun 2020Editorial Decision: Accept