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Springer Hyperspherical Harmonics: Applications in Quantum Theory

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Description

Explore the advanced mathematical foundations of quantum theory with Hyperspherical Harmonics: Applications in Quantum Theory, part of the Reidel Texts in the Mathematical Sciences series. This text provides a deep look into how Gegenbauer polynomials function within the theory of hyperspherical harmonics. Just as Legendre polynomials are fundamental to 3-dimensional spherical harmonics, Gegenbauer polynomials serve a similar role in higher dimensions. This book explains these relationships clearly, including how Gegenbauer polynomials reduce to Legendre polynomials when d = 3. Readers will find detailed information on d-dimensional generalizations, such as the sum rule where a sum of hyperspherical harmonics is expressed as a Gegenbauer polynomial. This Springer publication is a specialized resource for those studying physical chemistry and mathematical physics. It offers the necessary mathematical tools to understand multidimensional spherical systems and their applications in quantum mechanics. Whether you are researching higher-dimensional mathematics or quantum applications, this volume provides the formal framework required for advanced scientific study.

Key Features

Provides a detailed study of Gegenbauer polynomials and their role in hyperspherical harmonics theory.

Explains the mathematical connection between Gegenbauer polynomials and Legendre polynomials in 3-dimensional systems.

Covers d-dimensional generalizations of sum rules used in spherical harmonic expressions.

Part of the reputable Reidel Texts in the Mathematical Sciences series published by Springer.

Supports advanced research in quantum theory and physical chemistry through mathematical modeling.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 April 1989
Listed Since
15 February 2007

Barcode

No barcode data available

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