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On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method
Joint Authors
Gonczarek, Ryszard
Krzyzosiak, Mateusz
Gonczarek, Adam
Jacak, Lucjan
Source
Advances in Condensed Matter Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We show that, by applying the conformal transformation method, strongly correlated superconducting systems can be discussed in terms of the Fermi liquid with a variable density of states function.
Within this approach, it is possible to formulate and carry out purely analytical study based on a set of fundamental equations.
After presenting the mathematical structure of the s -wave superconducting gap and other quantitative characteristics of superconductors, we evaluate and discuss integrals inherent in fundamental equations describing superconducting systems.
The results presented here extend the approach formulated by Abrikosov and Maki, which was restricted to the first-order expansion.
A few infinite families of integrals are derived and allow us to express the fundamental equations by means of analytical formulas.
They can be then exploited in order to find quantitative characteristics of superconducting systems by the method of successive approximations.
We show that the results can be applied in studies of high- T c superconductors and other superconducting materials of the new generation.
American Psychological Association (APA)
Gonczarek, Ryszard& Krzyzosiak, Mateusz& Gonczarek, Adam& Jacak, Lucjan. 2015. On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method. Advances in Condensed Matter Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052318
Modern Language Association (MLA)
Gonczarek, Ryszard…[et al.]. On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method. Advances in Condensed Matter Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1052318
American Medical Association (AMA)
Gonczarek, Ryszard& Krzyzosiak, Mateusz& Gonczarek, Adam& Jacak, Lucjan. On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method. Advances in Condensed Matter Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1052318
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052318