oscillations of chains

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21: Bibliography B

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Avoided crossings of the quartic oscillator. J. Phys. A 30 (9), pp. 3057–3067.

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External Links:

ISSN 0305-4470, Document, MathReview (Gabriel Alvarez), ZentralBlatt

Referenced by:

§31.17(ii).

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Anharmonic oscillator. II. A study of perturbation theory in large order. Phys. Rev. D 7, pp. 1620–1636.

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External Links:

Document

Referenced by:

§22.19(ii).

Encodings:

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22: Bibliography J

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Fonctions de Mathieu et fonctions propres de l’oscillateur relativiste. Ann. Fac. Sci. Toulouse Math. (6) 7 (3), pp. 465–495 (French).

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Notes:

Translated title: Mathieu functions and eigenfunctions of the relativistic oscillator.

External Links:

ISSN 0240-2963, Pdf, MathReview (Jean-Michel Ghez), ZentralBlatt

Referenced by:

7th item.

Encodings:

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23: 12.14 The Function $W(a,x)$

… ►For real $\mu$ and $t$ oscillations occur outside the $t$-interval $[-1,1]$. … ►In this case there are no real turning points, and the solutions of (12.2.3), with $z$ replaced by $x$, oscillate on the entire real $x$-axis. …

24: Bibliography D

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The constrained quantum mechanical harmonic oscillator. Proc. Cambridge Philos. Soc. 62, pp. 277–286.

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External Links:

Document, MathReview (T. Erber)

Referenced by:

§12.11(i), §12.11(i), §12.17.

Encodings:

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25: Bibliography G

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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials. J. Phys. A 47 (1), pp. 015203, 26 pp..

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External Links:

ISSN 1751-8113, Document, Link, MathReview (Brian Simanek)

Referenced by:

§18.36(vi), §18.36(vi).

Encodings:

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26: Bibliography L

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Integrating some infinite oscillating tails. J. Comput. Appl. Math. 12/13, pp. 109–117.

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External Links:

ISSN 0377-0427, Document, MathReview Entry, ZentralBlatt

Referenced by:

§3.5(vii).

Encodings:

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27: 1.10 Functions of a Complex Variable

… ►The function $f_1(z)$ on $D_1$ is said to be analytically continued along the path $z(t)$, $a\le t\le b$, if there is a chain $(f_1,D_1)$, $(f_2,D_2),\mathrm{\dots },(f_n,D_n)$. …

28: 32.11 Asymptotic Approximations for Real Variables

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If , then $w(x)$ oscillates about, and is asymptotic to, $-\sqrt{\frac{1}{6}|x|}$ as $x\to -\mathrm{\infty }$.

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29: 1.9 Calculus of a Complex Variable

… ►A domain $D$, say, is an open set in $ℂ$ that is connected, that is, any two points can be joined by a polygonal arc (a finite chain of straight-line segments) lying in the set. …

30: 2.3 Integrals of a Real Variable

… ►oscillate rapidly and cancel themselves over most of the range. …