Imagine that you have a piano keyboard, and each key corresponds to a possible location of a particle. The Schrodinger equation tells you how to play a melody on this keyboard, using the wave function as the sheet music. The wave function gives you the amplitude and frequency of each note, which represent the probability and energy of finding the particle at that location. The higher the amplitude, the louder the note, and the higher the frequency, the higher the pitch.
The Schrodinger equation also tells you how the melody changes over time, depending on the potential energy of the particle at each location. The potential energy is like a tuning knob that affects the frequency of each note. If the potential energy is high, the note becomes sharper, and if it is low, it becomes flatter. The Schrodinger equation describes how the wave function evolves in response to these changes in frequency, and how the melody becomes more or less harmonious.
The equation is very important in quantum mechanics, because it allows us to calculate the wave function for any physical system, and use it to predict the outcomes of measurements. However, unlike classical music, quantum music is very unpredictable and probabilistic. We can only know the average values of observable quantities, such as position and momentum, but not their exact values for any given measurement. Moreover, we can never know the wave function completely, because every time we measure it, we disturb it and change its shape. This is known as the collapse of the wave function, or the quantum jump.
It was discovered by Erwin Schrödinger in 1926, and it is based on the conservation of energy. It is a partial differential equation, which means that it involves derivatives of the wave function with respect to both space and time. It can be written in different forms depending on whether we use a fixed or a moving frame of reference. It can also be generalized to include relativistic effects, such as when particles move close to the speed of light.
#Copied From the wall of Cecile G. Tamura
@cecile.tamura
Nobel Prize
Enrico Fermi, born on this day in 1901, was awarded the Nobel Prize in Physics in 1938.
Discovered in 1932, the neutron proved to be a powerful new tool for studying atoms. When Fermi irradiated heavy atoms with neutrons, these were captured by the atomic nuclei, creating new and often radioactive isotopes. In 1934, Fermi and his colleagues discovered that when neutrons are slowed down, the interaction rate with nuclei increases. This revelation led to the discovery of many hitherto-unknown radioactive isotopes.
Ben Chen
“We live in the world they created.”
Pauli,1900~1958
Fermi, 1901~1954
Heisenberg ,1901~1976
Dirac, 1902~1984
真正是：天才總是一起來
在1920～1930之間，從早期的量子論到量子力學系統的正式建立，這四位物理學家扮演了重要的角色，而且都在未滿30歲之前。
這是兩本有關Enrico Fermi 的傳記，作者都是Fermi 朋友圈的第二代。兩本書都有audible 版。
Pope這一本的作者，是一對夫妻檔，都是賓州大學的教授，小時候也都在原子彈的研發基地生活過。
Knew Everything 這一本作者，本身是為政治學教授，但他的父親是Fermi 的學生,也是一位諾貝爾物理奬得主。
在費米過世60年之後，才有這兩本傳記先後出版，主要是作者們認為以Fermi的學術貢獻和教學上的卓越成就，他的傳記和愛因斯坦相比起來，實在太少了。
有Fermi-Dirac統計力學的應用，才有今天的半導體電子產品和數位世界。另外在中子連鎖反應、微中子、⋯⋯量子場論，Fermi被公認為是最後一位兼具第一流的理論和實驗水準的權威。
最神奇一點可以說，Fermi是靠自己讀百科全書自學成才的,通過拉丁文，英文，德文，法文的閱讀，完成self-taught.
Ben Chen 費米的物理「教皇」之路 https://71a.xyz/357Ko6
隱藏或檢舉此留言 教皇這一本，大陸已經有翻譯本。
Who is Steve Jobs' Syrian immigrant father, Abdul Fattah Jandali ...
www.macworld.co.uk/.../who-is-steve-jobs-syrian-immigrant-father-abdul-fattah-jand...
Dec 14, 2015 - Plus: Banksy depicts Steve Jobs as migrant in Calais refugee camp. The Syrian crisis has highlighted the fact that the biological father of Apple's Steve Jobs was himself a Syrian political refugee. ... Less well known is the fact that while Steve Jobs was born in California he was ...
Under today's immigration policies, Steve Jobs might never have been
Sergey Brin - Wikipedia
https://en.wikipedia.org/wiki/Sergey_Brin
Sergey Mikhaylovich Brin is a Soviet-born American computer scientist, internet entrepreneur, and philanthropist. Together with Larry Page, he co-founded ...
Leonard Bernstein
Jennie Resnick and Samuel Bernstein: escaped the Russian pogroms, immigrated to the United States, settled in Massachusetts, and raised a son, Leonard, who became the first U.S.-born conductor of a major symphony orchestra.
此書吾友汪永祺先生翻譯部分。2014.8.25 建議孫康宜等，編寫一本旅美華人.....
Illustrious Immigrants. The Intellectual Migration from Europe, 1930-41. Laura Fermi. University of Chicago Press, Chicago, 1968. xii + 440 pp., illus. $7.95
Illustrious immigrants: the intellectual migration from Europe, 1930 ...
books.google.com/.../Illustrious_immigrants.html... - 翻譯這個網頁
Title, Illustrious immigrants: the intellectual migration from Europe, 1930-41. Author, Laura Fermi. Publisher, University of Chicago Press, 1968. Original from, the ...Enrico Fermi (1901-1954): pioneer in nuclear fission
在一九二九年到三○年那幾年中，嶄新而具革命性的物理觀念，像是量子理論、波動力學，正激盪著許多大學生（至少是最好的大學生），其中還包括一些名人，像波耳（Niels Bohr,1885-1962）、海森堡（Wenner Heisenberg,1901-1976）、薛丁格（Erwin Schrodinger,1887-1961），特別是費米（Enrico Fermi,1901-1954，以上幾位都是諾貝爾物理獎得主），他當時早已是義大利物理學界傳奇的年輕明星。聽著費諾講述有關量子、正電子、中子等令人興奮的理論，我把物理學想像成一個令人神往的領域，也由於我完全不懂，反而更加強了它的神奇色彩。
*Henry Moore Sculpture - "Nuclear Energy"
© Jennifer Roche
Location:
Ellis Avenue between 56th Street and 57th Street
Chicago, IL
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寓意重申﹕有位朋友聽完我在這方面的演講後﹐
關於那些大將軍們的影響力及其天賦 * ﹐據說 Enrico Fermi 有一次問了 Leslie Groves 將軍：「究竟有多少將軍可以說得上偉大﹖」Groves 回答說：「一百個中約有三個。」Fermi 又問：「到底一個將軍怎樣才算是偉大的將軍﹖」 Groves 回答說：「只要能連續贏得五次大戰役便可以很保險地說他是偉大。---
很巧，今天是費米（Enrico Fermi 1901-1954）的生日。
我對於他的科學貢獻只是似懂非懂。不過他是個奇才，有其特殊的遭遇。對於我們這種雅好傳記的人，他有愛妻蘿拉(Laura Fermi)和摯友賽格勒(Emilio Segre)分別為他立傳，又都有中文翻譯本，真是福氣（雖說它們姍姍來遲，卻聊勝於無）。可惜的是，中國的有許多翻譯失誤。Emilio Segre著《原子舞者：費米傳》，翻譯錯誤多。
蘿拉•費米(Laura Fermi)是健筆，寫過不少書，例如我們Simon University討論過的《美國傑出的歐洲移民》( Illustrious immigrants: the intellectual migration from Europe)，
"你應該寫一本你先生的傳記。" Laura 起先說："我做不到，我的丈夫只是一個我替他做飯和燙襯衣的人，我怎麼能夠嚴肅地替他寫傳記。"但這念頭卻在我心裡生了根，結果是寫了這本書。我也感謝Emilio Segre替我校閱書稿中有關科學的部分。Emilio Segre（1905-89） 也是諾貝爾物理學獎得主（1959），他也寫一本費米傳記：《費米傳：物理學家》。
Emilio Segre著《原子舞者：費米傳》( Enrico Fermi: Physicist 1970) ，上海科學技術出版社，2004 (Emilio Segre 的作品可以上網讀一下，也是我對照讀的根據：
http://www.amazon.com/gp/reader/0226744736/ref=sib_dp_ pt/104-8765438-1148768#reader- page
Atoms in the Family: My Life with Enrico Fermi (University of Chicago Press, 1954)
《費米傳:原子時代的奠基人 》，葉蒼譯，香港：今日世界， 1973--本書第一頁將"1942年"誤植為"1972年"。又， "sélf-sustáining"，是"自足的" 。不是"自動的"....
-
無意中讀到某單位說明「書號」。
Emilio Segre 1970年所著的 "Enrico Fermi: Physicist" 一書的索書號
分析如下： 依國會圖書分類法索書號為： QC16
F46
S4
1970
其中 Q 代表科學
QC 代表物理學
16 代表個人傳記
.F46 代表被傳者Fermi的科特號
S4 代表著者Segre的科特號
1970 代表出版年
先談一下意大利文的音譯。我最近才知道它是「雙子音」系統，
我主要的批評在《原子舞者：費米傳》，雖然我對蘿拉•費爾米著《
談前言翻譯：
Segre說，他們寫的費米傳，觀照或重視的觀點不同（
接下來Segre說，書中有些地方他不太確定時，他會做些【臆測】
第2頁 信的shipment 不是「乘船」，該船被炸沉，所以信不是「遺失」（loss）。 頁末最後一句比較有問題：「我認為這是正常的，
第一章 第1頁 這些大戰中罹難的消息在年青一代慢慢傳開來(
第一章 第2頁牽涉宗教，錯誤極多。
天主教的Father 通稱「【人】 神父,教父,修道院長,師傅;告解神父 ( ( 尊稱 ) )」不是牧師；芝加哥大學的chapel 是著名的Rockefeller Chapel ，不是「小禮堂」（看圖應可容納數百人）；網路上「
本書翻譯誤差極大（不管從義大利文或英文看都如此）。
第一章 第3頁
「維也納和約」（the Peace of Vienna ）不是「維也納和平時期」（歷史上有兩同名之約，
「聰明又有野心，既偏狹又果斷」翻譯（who combined ambition and intelligent with a purposeful narrowness of mind），後半句翻得不準確。
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