# 普朗克常數

${\displaystyle E=h\nu }$

h=6.626069934(89)×10−34 Js.[1]
=4.135667662(25)×10−15 eVs[2]。其中電子伏特（eV）為能量單位：
${\displaystyle h=4.135\ 667\ 662(25)\ \times 10^{-15}{\mbox{eV}}\cdot {\mbox{s}}}$

## 目錄

### 約化普朗克常數

${\displaystyle \hbar \equiv {\frac {h}{2\pi }}=1.054\ 571\ 800(13)\times 10^{-34}\ {\mbox{J}}\cdot {\mbox{s}},}$

${\displaystyle E=nh\nu \,,\quad n\in \mathbb {N} }$

${\displaystyle E=n\hbar \omega \,,\quad n\in \mathbb {N} }$

${\displaystyle {\begin{matrix}J^{2}=j(j+1)\hbar ^{2},&j=0,1/2,1,3/2,\ldots \\J_{z}=m\hbar ,\qquad \quad &m=-j,-j+1,\ldots ,j\end{matrix}}}$

${\displaystyle \Delta x\Delta p\geq {\begin{matrix}{\frac {1}{2}}\end{matrix}}\hbar }$

1919年，阿諾·索末菲在他的《原子構造和光譜線》一書中最早將1900年12月14日稱為「量子理論的誕辰」，後來的科學史家們將這一天定為了量子的誕生日。

## 參考文獻

1. ^ Schlamminger, S.; Haddad, D.; Seifert, F.; Chao, L. S.; Newell, D. B.; Liu, R.; Steiner, R. L.; Pratt, J. R. Determination of the Planck constant using a watt balance with a superconducting magnet system at the National Institute of Standards and Technology. Metrologia. 2014, 51 (2): S15. ISSN 0026-1394. doi:10.1088/0026-1394/51/2/S15 （英語）.
2. ^ Barry N. Taylor of the Data Center in close collaboration with Peter J. Mohr of the Physical Measurement Laboratory's Atomic Physics Division, Termed the "2014 CODATA recommended values," they are generally recognized worldwide for use in all fields of science and technology. The values became available on 25 June 2015 and replaced the 2010 CODATA set. They are based on all of the data available through 31 December 2014. Available: http://physics.nist.gov