Titlebook: Mathematics for the Physical Sciences; James B. Seaborn Textbook 2002 Springer Science+Business Media New York 2002 Algebra.Schr?dinger eq

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Eigenvalue Problems,g a parameter (here l), we seek solutions that satisfy some special requirement (e.g., the series must converge for . = ±1). To obtain such solutions, we must choose particular values. for the parameter. In this case, . That is, polynomial solutions (which are required for convergence at. = ±1) aris

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Variational Principles,ng the reflection and refraction of light at the boundary between two transparent media. What path does the light take in each case? For example, light is emitted from a source ., reflected from a boundary, and detected at a point .. Some possible paths along which the light might propagate to get f

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s in classical mechanics, electricity and mag- netism, and quantum mechanics. The book begins with a short review of a few topics that should be familiar to the student from a general physics course. These examples will be used throughout the rest of the book to provide physical con- texts for intro

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