Abstract
In this study, a 4th-order Ginzburg-Landau differential equation is obtained based on the generalization of the Heisenberg's uncertainty relation recently introduced in literature. This equation is similar to the Fisher-Kolmogorov equation which occurs in many physical models. The Lagrangian and the Hamiltonian of the 4th-prder Ginzburg-Landau equation were constructed and it was observed that the energy is a conserved quantity along its corresponding orbits. Two applications were discussed mainly the occurrence of superconductivity in a bulk superconductor through an external magnetic field and the microscopic formulation of BCS superconductivity. Several properties were discussed accordingly.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.