Hyperspherical Harmonics: Applications in Quantum Theory - Image 1

£110.94

Springer Hyperspherical Harmonics: Applications in Quantum Theory

Name: Hyperspherical Harmonics: Applications in Quantum Theory
Brand: Springer
Price: 110.94 GBP
Availability: InStock

Physical Chemistry

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Description

This authoritative text from Springer explores hyperspherical harmonics and their fundamental applications in quantum theory, presented as volume 5 in the Reidel Texts in the Mathematical Sciences series. The book examines the mathematical framework connecting Gegenbauer polynomials to hyperspherical harmonics, demonstrating how these tools extend classical three-dimensional spherical harmonic theory into higher-dimensional spaces. Readers will discover how hyperspherical harmonics reduce to familiar Legendre polynomials when analysed in three dimensions, and learn the d-dimensional generalisations of classical sum rules that express hyperspherical harmonic sums as Gegenbauer polynomials. Designed for mathematicians and theoretical physicists, this text bridges mathematical formalism with practical quantum applications, offering rigorous development of harmonic analysis techniques essential for advanced study in theoretical and computational physics.

Key Features

Hyperspherical harmonics theory presented as volume 5 of the Reidel Texts in the Mathematical Sciences, part of Springer's established mathematical sciences collection.

Gegenbauer polynomials explained in relation to hyperspherical harmonics, with detailed connections to classical Legendre polynomial methods.

Higher-dimensional generalisations of spherical harmonics with mathematical proofs and applications to quantum mechanical systems.

Sum rules and mathematical identities for hyperspherical harmonic expansions in arbitrary dimensions, essential for computational methods.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 079230165X
Category: Books > Subjects > Science, Nature & Maths > Chemistry > Physical Chemistry
Domain: Amazon UK
Release Date: 30 April 1989
Listed Since: 15 February 2007

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Springer Hyperspherical Harmonics: Applications in Quantum Theory

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