band spectra
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11—20 of 21 matching pages
11: Bibliography L
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Handbuch der Lehre von der Verteilung der Primzahlen. 2 Bände.
Chelsea Publishing Co., New York (German).
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Quasiconformal Mappings in the Plane.
2nd edition, Springer-Verlag, New York.
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12: 27.2 Functions
13: 18.38 Mathematical Applications
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►SUSY leads to algebraic simplifications in generating excited states, and partner potentials with closely related energy spectra, from knowledge of a single ground state wave function.
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14: 18.39 Applications in the Physical Sciences
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►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.
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►An important, and perhaps unexpected, feature of the EOP’s is now pointed out by noting that for 1D Schrödinger operators, or equivalent Sturm-Liouville ODEs, having discrete spectra with eigenfunctions vanishing at the end points, in this case see Simon (2005c, Theorem 3.3, p. 35), such eigenfunctions satisfy the Sturm oscillation theorem.
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►Namely for fixed the infinite set labeled by describe only the
bound states for that single , 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).
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15: Bibliography G
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Werke. Band II.
pp. 436–447 (German).
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16: 3.7 Ordinary Differential Equations
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►Let be the
band matrix
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17: Bibliography R
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Topics in Analytic Number Theory.
Springer-Verlag, New York.
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18: Bibliography C
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The Theory of Atomic Spectra.
Cambridge University Press, Cambridge.
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19: Bibliography
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Theory of Incomplete Cylindrical Functions and Their Applications.
Springer-Verlag, Berlin.
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20: Bibliography K
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Theorie und Anwendung der unendlichen Reihen.
4th edition, Die Grundlehren der mathematischen Wissenschaften, Band 2, Springer-Verlag, Berlin-Heidelberg (German).
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