WJPPS Citation

Login

Search

News & Updation

  • Updated Version
  • WJPPS introducing updated version of OSTS (online submission and tracking system), which have dedicated control panel for both author and reviewer. Using this control panel author can submit manuscript
  • Call for Paper
    • WJPPS  Invited to submit your valuable manuscripts for Coming Issue.
  • Journal web site support Internet Explorer, Google Chrome, Mozilla Firefox, Opera, Saffari for easy download of article without any trouble.
  •  
  • New Impact Factor
  • WJPPS Impact Factor has been Increased to 8.025 for Year 2024.

  • WJPPS: MARCH ISSUE PUBLISHED
  • March Issue has been successfully launched on 1 March 2024.

  • ICV
  • WJPPS Rank with Index Copernicus Value 84.65 due to high reputation at International Level

  • Scope Indexed
  • WJPPS is indexed in Scope Database based on the recommendation of the Content Selection Committee (CSC).

Abstract

A FEYNMAN PATH INTEGRAL FORMULATION OF LANDAU-GINZSBURG THEORY OF SUPERCONDUCTING SYSTEM

Ephraim P. Inyang, Uza T. Isaac* and Etido P. Inyang

ABSTRACT

In this paper, we derive the Feynman‟s path integral expression of the Landau-Ginzburg free energy functional of superconducting system in terms of the magnetic system or a bar magnet.Ginsburg-Landau theory of superconducting system forms a phenomenological model which analyses the materials that have zero resistance to electric current in the vicinity or close to their critical temperature on an infinitesimal or microscopic measurement. In spite of being a very successful physical model, it has also a good idea of mathematics that has been studied. Microscopically, superconductivity occurs as a result attraction between electrons, making them to transform into quantum wedded electrons. We look at certain regions of the magnet that are average and associate such areas with magnetization (M) as a function of position (). The local magnetization is used to obtain the Feynman‟s path integral expression of the Landau-Ginzburg free energy functional of superconducting system using field theoretical methods. In this system (the bar magnet), we look at the possibility of position () to describe the system in N-dimensions and characterized it by different configuration and assigned it with a rate of probability of different realization (𝘞). The probability rate of finding a sub-system with energy being in a particular micro-state of the medium of energy () is evaluated. An analytical expansion of the sub-divisions of the magnetization give rise to the partition function as a function of temperature and the zero field in the vicinity or close to the critical temperature as the free energy functional of the superconducting system. The results we obtained in this paper are in agreements with the results of Landau-Ginzburg free energy functional of superconducting system obtained by Gorkov in 1959 and it is also in agreement with the results of Landau-Ginzburg free energy functional of superconducting system.

Keywords: Magnetic system, superconducting system, Landau-Ginzburg theory and partition function.


[Download Article]     [Download Certifiate]

Call for Paper

World Journal of Pharmacy and Pharmaceutical Sciences (WJPPS)
Read More

Online Submission

World Journal of Pharmacy and Pharmaceutical Sciences (WJPPS)
Read More

Email & SMS Alert

World Journal of Pharmacy and Pharmaceutical Sciences (WJPPS)
Read More