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Visual Quantum Mechanics || Linear Operators in Hilbert Spaces

✍ Scribed by ,


Book ID
118138549
Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
249 KB
Edition
1st ed. 2000. Corr. 2nd printing 2002
Category
Article
ISBN-13
9780387989297

No coin nor oath required. For personal study only.

✦ Synopsis


Visual Quantum Mechanics Uses The Computer-generated Animations Found On The Accompanying Material Found On Springer Extras To Introduce, Motivate, And Illustrate The Concepts Explained In The Book. While There Are Other Books On The Market That Use Mathematica Or Maple To Teach Quantum Mechanics, This Book Differs In That The Text Describes The Mathematical And Physical Ideas Of Quantum Mechanics In The Conventional Manner. There Is No Special Emphasis On Computational Physics Or Requirement That The Reader Know A Symbolic Computation Package. Despite The Presentation Of Rather Advanced Topics, The Book Requires Only Calculus, Making Complicated Results More Comprehensible Via Visualization. The Material On Springer Extras Provides Easy Access To More Than 300 Digital Movies, Animated Illustrations, And Interactive Pictures. This Book Forms A Complete Introductory Course On Spinless Particles In One And Two Dimensions. Visualization Of Wave Functions -- Fourier Analysis -- Free Particles -- States And Observables -- Other Observables -- Boundary Conditions -- Linear Operators In Hilbert Spaces -- Harmonic Oscillator -- Special Systems -- One-dimensional Scattering Theory -- Numerical Solution In One Dimension -- Movie Index -- Other Books On Quantum Mechanics -- Index. Bernd Thaller. Includes Bibliographical References And Index.


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Optimal linear randomized methods for li
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Basic questions of information-based complexity are strongly related to n-widths and s-numbers. In this paper we study Monte Carlo methods or randomized methods for linear operators. Similar as in the worst case, Math6 defined linear stochastic n-widths. Our main result is the characterization of th