This original work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics.--
This original work, based on the author's many years of teaching at Harvard University, examines mathematical methods of value and importance to advanced undergraduates and graduate students studying quantum mechanics.--Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Shlomo Sternberg received his Ph.D. from Johns Hopkins University in 1957 and taught in the Mathematics Department at Harvard University from 1959 until his retirement as Professor Emeritus of Mathematics in 2017. He is the author of many frequently cited and highly regarded books in mathematics and related fields, including two published by Dover: Dynamical Systems and Curvature in Mathematics and Physics. Among many other honors and awards, Dr. Sternberg was elected to the American Academy of Arts and Sciences in 1984 and to the National Academy of Sciences in 1986.
Inhaltsangabe
Introduction The Fourier transform The spectral theorem, I Unbounded operators Semi-groups, I Self-adjoint operators Semi-groups, II Semi-groups, III Weyl's theorem on the essential spectrum More from Weyl's theorem Extending the functional analysis via Riesz Wintner's proof of the spectral theorem The L2 version of a spectral theorem Rayleigh-Ritz Some one-dimensional quantum mechanics More one-dimensional quantum mechanics Some three-dimensional computations Bound states and scattering states The exponential decay of eigenstates Lorch's proof of the spectral theorem Scattering theory via Lax and Phillips Huygens' principle Some quantum mechanical scattering theory The Groenwald-van Hove theorem Chernoff's theorem Some background material
Introduction The Fourier transform The spectral theorem, I Unbounded operators Semi-groups, I Self-adjoint operators Semi-groups, II Semi-groups, III Weyl's theorem on the essential spectrum More from Weyl's theorem Extending the functional analysis via Riesz Wintner's proof of the spectral theorem The L2 version of a spectral theorem Rayleigh-Ritz Some one-dimensional quantum mechanics More one-dimensional quantum mechanics Some three-dimensional computations Bound states and scattering states The exponential decay of eigenstates Lorch's proof of the spectral theorem Scattering theory via Lax and Phillips Huygens' principle Some quantum mechanical scattering theory The Groenwald-van Hove theorem Chernoff's theorem Some background material
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