Quantum Mechanics: A Mathematical Introduction (Hardcover)
暫譯: 量子力學:數學導論 (精裝版)
Larkoski, Andrew J.
- 出版商: Cambridge
- 出版日期: 2022-12-15
- 售價: $1,520
- 貴賓價: 9.8 折 $1,490
- 語言: 英文
- 頁數: 398
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1009100505
- ISBN-13: 9781009100502
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相關分類:
量子 Quantum
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商品描述
This original and innovative textbook takes the unique perspective of introducing and solving problems in quantum mechanics using linear algebra methods, to equip readers with a deeper and more practical understanding of this fundamental pillar of contemporary physics. Extensive motivation for the properties of quantum mechanics, Hilbert space, and the Schrödinger equation is provided through analysis of the derivative, while standard topics like the harmonic oscillator, rotations, and the hydrogen atom are covered from within the context of operator methods. Advanced topics forming the basis of modern physics research are also included, such as the density matrix, entropy, and measures of entanglement. Written for an undergraduate audience, this book offers a unique and mathematically self-contained treatment of this hugely important topic. Students are guided gently through the text by the author's engaging writing style, with an extensive glossary provided for reference and numerous homework problems to expand and develop key concepts. Online resources for instructors include a fully worked solutions manual and lecture slides.
商品描述(中文翻譯)
這本原創且創新的教科書採取獨特的視角,利用線性代數方法介紹和解決量子力學中的問題,以幫助讀者更深入且實用地理解這一當代物理學的基本支柱。通過對導數的分析,提供了量子力學、希爾伯特空間和薛丁格方程的性質的廣泛動機,同時標準主題如諧振子、旋轉和氫原子則在算子方法的背景下進行探討。書中還包括了構成現代物理研究基礎的進階主題,如密度矩陣、熵和糾纏度量。這本書是為本科生撰寫的,提供了對這一極其重要主題的獨特且數學上自足的處理。作者以引人入勝的寫作風格輕柔地引導學生閱讀,並提供了廣泛的術語表作為參考,以及大量的作業題目以擴展和發展關鍵概念。針對教師的在線資源包括完整的解題手冊和講義幻燈片。