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量子力學的波函數與康德的物自體=Quantum Mechanical Wave Function and the Thing-in-itself of Kant's |
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Author |
王守益 (著)=Wang, S. George (au.)
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王慧琴 (著)=Wang, Hui-chin (au.)
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Source |
佛學與科學=Buddhism and Science
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Volume | v.1 n.1 |
Date | 2000.07.15 |
Pages | 26 - 30 |
Publisher | 圓覺文教基金會 |
Publisher Url |
http://www.obf.org.tw
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Location | 臺北市, 臺灣 [Taipei shih, Taiwan] |
Content type | 期刊論文=Journal Article |
Language | 中文=Chinese; 英文=English |
Keyword | 物自體; 本體; 本體論; 哲學; 康德; 波函數; 王守益; 王慧琴; thing-in-itself; noumenon; ontology; philosophy; kant; wave function; Wang, George S.; Wang, Hui-chin |
Abstract | 自從1770年康德提出物自體的存在以來,這物自體的觀念,一直是個謎. 在這21世紀的開頭時期,我們想進一步知道它究竟是什麼. 我們首先舉例出康德物自體的七種特質,然後提出近代物理的量子力學的波函數Ψ,發現波函數Ψ也具這七種特徵,且它是可以用數學式子計算求得. 我們更在方程式P=∫ΨpΨdτ中發現本體性的Ψ,現象界的物理性質P與對應於P的算子,都是定義得很清楚的,且由此方程式相互聯結. 簡言之,方程式P=∫ΨpΨdτ明顯地闡釋了一物體的本體 (性) 與現象 (相) 的區別與關係. 對複數函數波函數的不可觀測性,我們也做了詳細的論述. 我們的結論是:在量子力學的範疇裡,已找到了康德物自體的一種明確而具體的數學形式,即複數函數的波函數. 由於物自體是不可測,不可知的量,波函數的複數性質恰好是最適當的. 幾百年哲學上的物自體之謎,似乎已得到解決了.
Summary: The existence of thing-in-itself has been proposed and maintained its obscurity by Immanuel Kant ever since 1770. Listing 7 features of the thing-in-itself of Kant's, we find that the wave function ψ of Quantum Mechanics of modern physics possesses all those 7 features and that it is explicitly calculable in mathematical form. Furthermore,in Quantum Mechanics the noumenal ψ,its physical property p,and the corresponding mathematical operator for the physical property p are distinctly defined and expressly related by and equation. We also give detail explanations why a complex wave function cannot be observed. Our conclusion is that we propose to have found a concrete and distinct mathematical form for the thing-in-itself in the Quantum Mechanics regime,which may serve as the non-sensible noumenal cause for an appearance of a body. As the thing-in-itself is non-sensible and non-observable,it appears that only mathematical form of thing-in-itself is proper and accessible. The philosophical obscurity or mystery on noumenon of an object existing for hundreds of years appears now resolved. |
Table of contents | 一. 引言 二. 物自體的特性 三. 量子力學的波函數 四. 康德物自體與波函數的比較 五. 複數函數的波函數Ψ不能被觀測的道理 1﹒從「論述依據」來作詳細說明 2﹒從「低次元不能觀測高次元」來說明 3﹒從最簡單的Ψ=ae來作實際說明 六. 結論 |
ISSN | 16072952 (P) |
Hits | 1869 |
Created date | 2001.08.08 |
Modified date | 2017.07.14 |
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