An Axiomatic Basis for Quantum Mechanics: Volume 2 Quantum Mechanics and Macrosystems
暫譯: 量子力學的公理基礎:第二卷 量子力學與巨系統
Günther Ludwig
- 出版商: Springer
- 出版日期: 2011-11-17
- 售價: $2,420
- 貴賓價: 9.5 折 $2,299
- 語言: 英文
- 頁數: 244
- 裝訂: Paperback
- ISBN: 364271899X
- ISBN-13: 9783642718991
-
相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
相關主題
商品描述
In the first volume we based quantum mechanics on the objective description of macroscopic devices. The further development of the quantum mechanics of atoms, molecules, and collision processes has been described in [2]. In this context also the usual description of composite systems by tensor products of Hilbert spaces has been introduced. This method can be formally extrapolated to systems composed of "many" ele mentary systems, even arbitrarily many. One formerly had the opinion that this "extrapolated quantum mechanics" is a more comprehensive theory than the objec tive description of macrosystems, an opinion which generated unsurmountable diffi culties for explaining the measuring process. With respect to our foundation of quan tum mechanics on macroscopic objectivity, this opinion would mean that our founda tion is no foundation at all. The task of this second volume is to attain a compatibility between the objective description of macrosystems and an extrapolated quantum mechanics. Thus in X we establish the "statistical mechanics" of macrosystems as a theory more compre hensive than an extrapolated quantum mechanics. On this basis we solve the problem of the measuring process in quantum mechan ics, in XI developing a theory which describes the measuring process as an interaction between microsystems and a macroscopic device. This theory also allows to calculate "in principle" the observable measured by a device. Neither an incorporation of consciousness nor a mysterious imagination such as "collapsing" wave packets are necessary.
商品描述(中文翻譯)
在第一卷中,我們將量子力學建立在對宏觀裝置的客觀描述上。原子、分子和碰撞過程的量子力學進一步發展已在[2]中描述。在這個背景下,通常通過希爾伯特空間的張量積來描述複合系統的方法也被引入。這種方法可以形式上外推到由「許多」基本系統組成的系統,甚至是任意多的系統。以前人們認為這種「外推的量子力學」是一種比宏觀系統的客觀描述更全面的理論,這種觀點為解釋測量過程帶來了無法克服的困難。就我們基於宏觀客觀性的量子力學基礎而言,這種觀點意味著我們的基礎根本不算是基礎。本卷的任務是實現宏觀系統的客觀描述與外推的量子力學之間的兼容性。因此,在第X章中,我們建立了宏觀系統的「統計力學」,作為一種比外推的量子力學更全面的理論。在此基礎上,我們解決了量子力學中測量過程的問題,在第XI章中發展出一種理論,將測量過程描述為微系統與宏觀裝置之間的相互作用。這種理論還允許「原則上」計算由裝置測量的可觀察量。這裡不需要意識的納入,也不需要像「波包坍縮」這樣神秘的想像。