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Planck charge : ウィキペディア英語版
Planck charge
In physics, the Planck charge, denoted by q_\text, is one of the base units in the system of natural units called Planck units. It is a quantity of electric charge defined in terms of fundamental physical constants.
The Planck charge is defined as:

:q_\text = \sqrt = \frac coulombs,
where:
: c \ is the speed of light in the vacuum,
: \hbar is the reduced Planck constant,
: \epsilon_0 \ is the permittivity of free space
: e \ is the elementary charge
: \alpha \ is the fine structure constant.
The Planck charge is \alpha^ \approx 11.706 times larger than the elementary charge ''e'' carried by an electron.
The Gaussian cgs units are defined so that 4 \pi\epsilon_0 = 1, in which case q_\text has the following simple form:
:q_\text = \sqrt.
It is customary in theoretical physics to adopt the Lorentz–Heaviside units (also known as rationalized cgs). When made natural (c=1) they are like the SI system with \epsilon_0 = \mu_0 = 1. Therefore it is more appropriate to define the Planck charge as
:q'_\text = \sqrt = \frac coulombs,
When charges are measured in units of q'_\text, i.e., when q'_\text is set equal to 1, we obtain \alpha = \frac, which is commonly used in theoretical physics. In contrast, in (non-rationalized) natural cgs units where q_\text=1 we have \alpha = e^2.
==See also==

*Orders of magnitude (charge)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Planck charge」の詳細全文を読む



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