B
Barry Simon
Researcher at California Institute of Technology
Publications - 545
Citations - 56893
Barry Simon is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Orthogonal polynomials & Spectrum (functional analysis). The author has an hindex of 108, co-authored 543 publications receiving 54368 citations. Previous affiliations of Barry Simon include Institut des Hautes Études Scientifiques & IBM.
Papers
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Book
Trace ideals and their applications
TL;DR: In this paper, Calkin's theory of operator ideals and symmetrically normed ideals convergence theorems for trace, determinant, and Lidskii's theorem are discussed.
Book
Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry
H. L. Cycon,Barry Simon +1 more
TL;DR: In this paper, Witten's proof of the Morse Inequalities and Patodi's Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems are presented.
Journal ArticleDOI
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
TL;DR: In this article, it was shown that the geometrical phase factor found by Berry in his study of the quantum adiabatic theorem is precisely the holonomy in a Hermitian line bundle.
Book
Functional integration and quantum physics
TL;DR: The basic processes Bound state problems Inequalities Magnetic fields and stochastic integrals Asymptotics Other topics References Index Bibliographic supplement Bibliography as discussed by the authors The Basic Process Bound State problems