A Mathematical Companion to Quantum Mechanics (Paperback)
暫譯: 量子力學的數學伴侶 (平裝本)

Sternberg, Shlomo

A Mathematical Companion to Quantum Mechanics (Paperback)
  • 出版商: Dover Publications
  • 出版日期: 2019-03-20
  • 售價: $1,050
  • 貴賓價: 9.8 折 $1,029
  • 語言: 英文
  • 頁數: 336
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0486826899
  • ISBN-13: 9780486826899
  • 相關分類: 量子 Quantum

    • 立即出貨 (庫存=1)

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商品描述

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.

商品描述(中文翻譯)

這本2019年的原著，基於作者在哈佛大學多年教學的經驗，探討了對於學習量子力學的高年級本科生和研究生來說具有價值和重要性的數學方法。其目標讀者為數學系的高年級大學生及數學和物理學的初級研究生。

早期章節涵蓋了傅立葉變換、對於有界自伴算子的譜定理，以及無界算子和半群等主題。隨後的主題包括對於韋爾定理（Weyl's theorem）在本質譜上的討論及其一些應用、瑞利-里茲方法（Rayleigh-Ritz method）、一維量子力學、魯埃爾定理（Ruelle's theorem）、散射理論、惠根斯原理（Huygens' principle）以及許多其他主題。

作者簡介

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.

作者簡介(中文翻譯)

Shlomo Sternberg於1957年獲得約翰霍普金斯大學的博士學位，並於1959年至2017年退休前擔任哈佛大學數學系的教授（名譽教授）。他是數學及相關領域中許多經常被引用且備受推崇的書籍的作者，其中包括由Dover出版的兩本書：《動態系統》（Dynamical Systems）和《數學與物理中的曲率》（Curvature in Mathematics and Physics）。在眾多榮譽和獎項中，Sternberg博士於1984年當選為美國藝術與科學學院院士，並於1986年當選為美國國家科學院院士。

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