Selected Special Functions for Fundamental Physics

This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity an...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Akhmedova, Valeriya (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Akhmedov, Emil T. (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:SpringerBriefs in Physics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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505 0 |a Introduction -- Gamma-function -- Riemann zeta-function -- Hermite polynomials -- Bessel functions -- Legendre polynomials and spherical functions -- Hypergeometric functions -- Degenerate hypergeometric function -- Theta-functions. 
520 |a This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals. . 
650 0 |a Physics. 
650 0 |a Special functions. 
650 0 |a Mathematical physics. 
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650 2 4 |a Special Functions.  |0 http://scigraph.springernature.com/things/product-market-codes/M1221X 
650 2 4 |a Mathematical Applications in the Physical Sciences.  |0 http://scigraph.springernature.com/things/product-market-codes/M13120 
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