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商品描述
An exciting monograph of some new applications of so-called pure mathematics, including number theory, to various problems arising in quantum field theory. A self-contained unique treatment using conventional math terminology. Introductory material on Planck, Schr"dinger quantization, Pauli's spin functions, multielectron atoms; more advanced topics include: Feynman path integrals, quantum partition functions, zeta functions, spherical harmonic analysis and the Selberg trace formula. Good bibliography and index. An excellent resource for clasroom or self-study.
商品描述(中文翻譯)
一本令人興奮的專著,探討所謂的純數學(包括數論)在量子場論中出現的各種問題的新應用。這是一個獨特的自足性處理,使用傳統的數學術語。內容包括普朗克(Planck)、薛丁格(Schr'dinger)量子化、保利(Pauli)的自旋函數、多電子原子等的入門材料;更高級的主題包括:費曼路徑積分(Feynman path integrals)、量子分配函數(quantum partition functions)、ζ函數(zeta functions)、球面調和分析(spherical harmonic analysis)以及塞爾伯格跡公式(Selberg trace formula)。有良好的參考書目和索引。這是教室或自學的優秀資源。