Path Integrals and Quantum Processes (Paperback)

<內容簡介>

This text offers a systematic presentation of the path integral approach to calculating transition elements, partition functions, and source functionals. The treatment contains a set of logical connections and applications which represent the scope of problems that the path integral can solve. Readers receive sufficient background to advance to related books and articles at the frontiers of theoretical physics.
An introductory section covers mathematical preliminaries, progressing to examinations of quantum mechanical path integrals, an evaluation of the path integral, and an exploration of further applications. Subsequent chapters cover Grassmann variables, field theory and gauge field theory, perturbation theory, and nonperturbative results. Suitable for advanced undergraduates and graduate students of physics, the text requires only some familiarity with quantum mechanics. Exercises and lists of references throughout the book make it ideal for supplementary reading and self-study.

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內容簡介:
本書系統地介紹了計算轉移元素、分割函數和源函數的路徑積分方法。本書包含了一系列的邏輯連接和應用，展示了路徑積分可以解決的問題範圍。讀者將獲得足夠的背景知識，以便深入研讀相關的理論物理書籍和文章。

本書的引言部分涵蓋了數學預備知識，接著探討了量子力學的路徑積分、路徑積分的評估以及進一步的應用。隨後的章節涵蓋了Grassmann變數、場論和規範場論、微擾理論以及非微擾結果。本書適合物理學的高年級本科生和研究生閱讀，只需要對量子力學有一定的了解。書中的練習和參考書目使其成為補充閱讀和自學的理想選擇。