Spherical harmonics in p dimensions / Costas Efthimiou, Christopher Frye.

By:

Efthimiou, Costas [author.]

Contributor(s):

Frye, Christopher [author.]

Material type: Text

TextPublisher: Singapore ; Hackensack, NJ : World Scientific, [2014]Description: 1 online resource (xii, 143 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9789814596701
9814596701
1322030723
9781322030722

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Spherical harmonics in p dimensionsDDC classification:

515/.785 23

LOC classification:

QC20.7.S645 E38 2014eb

Online resources:

Click here to access online

Contents:

1. Introduction. 1.1. Separation of variables. 1.2. Quantum mechanical angular momentum -- 2. Working in p dimensions. 2.1 Rotations in [symbol]. 2.2. Spherical coordinates in p dimensions. 2.3. The sphere in higher dimensions. 2.4. Arc length in spherical coordinates. 2.5. The divergence theorem in EP. 2.6. [symbol] in spherical coordinates. 2.7. Problems -- 3. Orthogonal polymials. 3.1. Orthogonality and expansions. 3.2. The recurrence formula. 3.3. The Rodrigues formula. 3.4. Approximations by polynomials. 3.5. Hilbert space and completeness. 3.6. Problems -- 4. Spherical harmonics in p dimensions. 4.1. Harmonic homogeneous polynomials. 4.2. Spherical harmonics and orthogonality. 4.3. Legendre polynomials. 4.4. Boundary value problems. 4.5. Problems -- 5. Solutions to problems. 5.1. Solutions to problems of chapter 2. 5.2. Solutions to problems of chapter 3. 5.3. Solutions to problems of chapter 4.

Summary: The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.

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Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references and index.

Print version record.

The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.

English.

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