mixed spectra

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1: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

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§1.18(viii) Mixed Spectra and Eigenfunction Expansions

… ► It is to be noted that if any of the $\lambda \in 𝝈$ have degenerate sub-spaces, that is subspaces of orthogonal eigenfunctions with identical eigenvalues, that in the expansions below all such distinct eigenfunctions are to be included. … ► See §18.39 for discussion of Schrödinger equations and operators. … …

2: 18.39 Applications in the Physical Sciences

… ►Brief mention of non-unit normalized solutions in the case of mixed spectra appear, but as these solutions are not OP’s details appear elsewhere, as referenced. … ►Namely for fixed $l$ the infinite set labeled by $p$ describe only the $L^2$ bound states for that single $l$, omitting the continuum briefly mentioned below, and which is the subject of Chapter 33, and so an unusual example of the mixed spectra of §1.18(viii). …

3: Bibliography S

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Principles of Atomic Spectra. John Wiley & Sons Ltd., New York.

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External Links:

ISBN 0-471-78835-X

Referenced by:

§34.12.

Encodings:

BibTeX

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Mixed Boundary Value Problems in Potential Theory. North-Holland Publishing Co., Amsterdam.

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External Links:

MathReview (R. Shail), ZentralBlatt

Referenced by:

§10.22(iv).

Encodings:

BibTeX

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Atomic Spectra and Radiative Transitions. 2nd edition, Springer-Verlag, Berlin.

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Notes:

A second printing with corrections was published in 1996.

Referenced by:

§34.12.

Encodings:

BibTeX

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