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Topics include Fourier transform, spectral theorem for bounded self-joint operators, unbounded operators and semigroups, Weyl's theorem, Rayleigh-Ritz method, one dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huyghens principle, more. 2018 edition.
Topics include Fourier transform, spectral theorem for bounded self-joint operators, unbounded operators and semigroups, Weyl's theorem, Rayleigh-Ritz method, one dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huyghens principle, more. 2018 edition.
Über den Autor
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.
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Theoretische Physik |
Genre: | Physik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486826899 |
ISBN-10: | 0486826899 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sternberg, Shlomo |
Hersteller: | Dover Publications Inc. |
Maße: | 228 x 151 x 20 mm |
Von/Mit: | Shlomo Sternberg |
Erscheinungsdatum: | 31.03.2019 |
Gewicht: | 0,47 kg |
Über den Autor
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.
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Theoretische Physik |
Genre: | Physik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486826899 |
ISBN-10: | 0486826899 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Sternberg, Shlomo |
Hersteller: | Dover Publications Inc. |
Maße: | 228 x 151 x 20 mm |
Von/Mit: | Shlomo Sternberg |
Erscheinungsdatum: | 31.03.2019 |
Gewicht: | 0,47 kg |
Warnhinweis