Description
This original 2019 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. Its intended audience is students of mathematics at the senor university level and beginning graduate students in mathematics and physics.
Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.
Author: Shlomo Sternberg
Publisher: Dover Publications
Published: 03/20/2019
Pages: 336
Binding Type: Paperback
Weight: 0.90lbs
Size: 8.90h x 6.20w x 0.60d
ISBN13: 9780486826899
ISBN10: 0486826899
BISAC Categories:
- Science | Physics | Quantum Theory
Early chapters address such topics as the Fourier transform, the spectral theorem for bounded self-joint operators, and unbounded operators and semigroups. Subsequent topics include a discussion of Weyl's theorem on the essential spectrum and some of its applications, the Rayleigh-Ritz method, one-dimensional quantum mechanics, Ruelle's theorem, scattering theory, Huygens' principle, and many other subjects.
Author: Shlomo Sternberg
Publisher: Dover Publications
Published: 03/20/2019
Pages: 336
Binding Type: Paperback
Weight: 0.90lbs
Size: 8.90h x 6.20w x 0.60d
ISBN13: 9780486826899
ISBN10: 0486826899
BISAC Categories:
- Science | Physics | Quantum Theory
About the Author
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.
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