By Fritz Gesztesy, Percy Deift, Cherie Galvez, Peter Perry, Wilhelm Schlag (Editors)
This Festschrift had its origins in a convention referred to as SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's sixtieth birthday. it isn't a court cases quantity within the traditional feel because the emphasis of nearly all of the contributions is on studies of the state-of-the-art of definite fields, with specific specialise in contemporary advancements and open difficulties. the majority of the articles during this Festschrift are of this survey shape, and some evaluation Simon's contributions to a specific sector. half 1 comprises surveys within the components of Quantum box thought, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum structures, Resonances, Quantum Mechanics with electrical and Magnetic Fields, and the Semiclassical restrict. half 2 comprises surveys within the components of Random and Ergodic SchrÃ¶dinger Operators, Singular non-stop Spectrum, Orthogonal Polynomials, and Inverse Spectral idea. in different circumstances, this selection of surveys portrays either the heritage of a subject matter and its present state-of-the-art. Exhaustive lists of references increase the presentation provided in those surveys. a considerable a part of the contributions to this Festschrift are survey articles at the state-of-the-art of sure parts with targeted emphasis on open difficulties. it will gain graduate scholars in addition to researchers who are looking to get a brief, but complete creation into a space coated during this quantity.
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