Anomalous magnetic moment of electron - 편집 역사

2021년 2월 17일 (수) 09:39에 Pythagoras0님의 편집

2021-02-17T09:39:46Z

Pythagoras0: /* 메타데이터 */ 새 문단

2020-12-28T06:50:05Z

메타데이터: 새 문단

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2020-11-16T12:30:08Z

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imported>Pythagoras0: /* history */

2015-03-21T01:46:30Z

history

imported>Pythagoras0: /* =Lande g-factor */

2015-03-19T18:15:49Z

=Lande g-factor

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imported>Pythagoras0: /* expositions */

2015-03-19T17:36:45Z

expositions

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imported>Pythagoras0: /* articles */

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articles

@@ 83번째 줄: / 83번째 줄: @@
 [[분류:migrate]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q771367 Q771367]

← 이전 판		2020년 12월 28일 (월) 06:50 판
82번째 줄:		82번째 줄:
	* In classical physics (left) magnetic lines of force (perp		* In classical physics (left) magnetic lines of force (perp
	[[분류:migrate]]		[[분류:migrate]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q771367 Q771367]

@@ 1번째 줄: / 1번째 줄: @@
 ==introduction==
-* The electron spin g-factor $g$ is approximately two
+* The electron spin g-factor <math>g</math> is approximately two
-* Dirac theory explains why $g=2$, but it's not exactly 2
+* Dirac theory explains why <math>g=2</math>, but it's not exactly 2
 * the currently accepted value is 2.00231930436153
 * this discrepancy is explained by QED
 * theoretical computation matches 11 digits with experiments
-* anomalous electron magnetic dipole moment $g/2=1.00115965219$
+* anomalous electron magnetic dipole moment <math>g/2=1.00115965219</math>
@@ 12번째 줄: / 12번째 줄: @@
 :<math>\mu_0=e\hbar /2m_ec</math>
 where
-# $e$ is the elementary charge,
+# <math>e</math> is the elementary charge,
-# $\hbar$ is the reduced Planck constant,
+# <math>\hbar</math> is the reduced Planck constant,
-# $m_e$ is the electron rest mass and
+# <math>m_e</math> is the electron rest mass and
-# $c$ is the speed of light.
+# <math>c</math> is the speed of light.
 * spin magnetic dipole moment <math>\mu_s</math>
 * Q. <math>\mu_s=\mu_0</math> ? (Back and Lande 1925)
-* We define $g$ to be the gyromagnetic ratio
+* We define <math>g</math> to be the gyromagnetic ratio
 :<math>\mu_s=\frac{g\mu_0}{2}</math>
 ==history==
-* $g_c$ be the g-factor for 'core'
+* <math>g_c</math> be the g-factor for 'core'
 ===background===
 the ratio of the intrinsic magnetic moment of an electron to its intrinsic or spin angular momentum is not equal to (but very nearly twice) that ratio for the magnetic moment and angular momentum arising from the orbital motion of the electron.
@@ 29번째 줄: / 29번째 줄: @@
 ===Lande g-factor===
-Basically through the work of Lande it was known that $g_c=2$ fitted the observed
+Basically through the work of Lande it was known that <math>g_c=2</math> fitted the observed
 multiplets of alkalies and also earth alkalies quite well. This value clearly had to
 be considered anomalous, since the magnetic moment and angular momentum of the
 core were due to the orbital motions of the electrons inside the core, which inevitably
-would lead to $g_c=1$, as explained in section 2.1. This was a great difficulty for the
+would lead to <math>g_c=1</math>, as explained in section 2.1. This was a great difficulty for the
 core model at the time, which was generally referred to as the “magneto-mechanical
 anomaly”. Pauli pointed out that one could either say that the physical value of the
@@ 41번째 줄: / 41번째 줄: @@
 ===Pauli's insight===
-Note that this hypothesis replaces the atom’s core as carrier of angular momentum by the valence electron. This means that (17), (18), and (20) are still valid, except that the subscript c (for “core”) is now replaced by the subscript s (for “spin”, anticipating its later interpretation), so that we now have a coupling of the electron’s orbital angular momentum (subscript e) to its intrinsic angular momentum (subscript s). In (20), with $g_c$ replaced by $g_s$, one needs to set $g_s=2$ in order to fit the data.
+Note that this hypothesis replaces the atom’s core as carrier of angular momentum by the valence electron. This means that (17), (18), and (20) are still valid, except that the subscript c (for “core”) is now replaced by the subscript s (for “spin”, anticipating its later interpretation), so that we now have a coupling of the electron’s orbital angular momentum (subscript e) to its intrinsic angular momentum (subscript s). In (20), with <math>g_c</math> replaced by <math>g_s</math>, one needs to set <math>g_s=2</math> in order to fit the data.
 ==classical magnetic moment==
@@ 53번째 줄: / 53번째 줄: @@
 ===orbital===
-* Let $e$, $m_e$, $v$, and $r$ be the electron's charge, mass, velocity, and radius, respectively.
+* Let <math>e</math>, <math>m_e</math>, <math>v</math>, and <math>r</math> be the electron's charge, mass, velocity, and radius, respectively.
 * A classical electron moving around a nucleus in a circular orbit
 ** orbital angular momentum, <math>L=m_evr</math>
 ** magnetic dipole moment, <math>\mu= -evr/2</math>
-* we get $\gamma=\mu/L=-e/2m_e$
+* we get <math>\gamma=\mu/L=-e/2m_e</math>
 ===spin===
 * A classical electron of homogeneous mass and charge density rotating about a symmetry axis
 ** spin angular momentum, <math>L=(3/5)m_eR^2\Omega</math>
-** magnetic dipole moment, <math>\mu= -(3/10)eR^2\Omega</math>, where $R$ and $\Omega$ are the electron's classical radius and rotating frequency
+** magnetic dipole moment, <math>\mu= -(3/10)eR^2\Omega</math>, where <math>R</math> and <math>\Omega</math> are the electron's classical radius and rotating frequency
 * we get <math>\gamma = \mu/L=-e/2m_e</math>

← 이전 판		2020년 11월 13일 (금) 14:36 판
81번째 줄:		81번째 줄:
	===QED===		===QED===
	* In classical physics (left) magnetic lines of force (perp		* In classical physics (left) magnetic lines of force (perp
		+	[[분류:migrate]]

@@ 23번째 줄: / 23번째 줄: @@
 ==history==
 ===Lande g-factor===
 Basically through the work of Lande it was known that $g_c=2$ fitted the observed

@@ 20번째 줄: / 20번째 줄: @@
 * We define $g$ to be the gyromagnetic ratio
 :<math>\mu_s=\frac{g\mu_0}{2}</math>
@@ 59번째 줄: / 76번째 줄: @@
 ===QED===
-* In classical physics (left) magnetic lines of force (perpendicular to the page) induce a curvature in the electron’s path.
+* In classical physics (left) magnetic lines of force (perp

@@ 154번째 줄: / 154번째 줄: @@
 ==expositions==
 * Xiaoyi, [https://docs.google.com/file/d/0B8XXo8Tve1cxRy10V1RNaTZZX3c/edit anomalous magnetic moment]
 * Brian Hayes, “g-OLOGY,” American Scientist 92, no. 3 (2004): 212. http://www.americanscientist.org/issues/num2/g-ology/1
 * http://www.youtube.com/watch?v=akZPBbPzdNQ
 * http://www.youtube.com/watch?v=cLRRfvuVQ0k
 ==articles==

← 이전 판		2015년 3월 19일 (목) 17:02 판
43번째 줄:		43번째 줄:
	** magnetic dipole moment, <math>\mu= -(3/10)eR^2\Omega</math>, where $R$ and $\Omega$ are the electron's classical radius and rotating frequency		** magnetic dipole moment, <math>\mu= -(3/10)eR^2\Omega</math>, where $R$ and $\Omega$ are the electron's classical radius and rotating frequency
	* we get <math>\gamma = \mu/L=-e/2m_e</math>		* we get <math>\gamma = \mu/L=-e/2m_e</math>
		+
		+
		+	==Dirac theory==
		+	* if we use Dirac equation, we can get the electron spin g factor 2 "naturally"
		+	* http://lnu.se/polopoly_fs/1.96725!PresentationGfactor.pdf
		+	* http://www7b.biglobe.ne.jp/~kcy05t/diragfac.html

@@ 156번째 줄: / 156번째 줄: @@
 ==articles==
 *  Broadhurst, D. J, and D. Kreimer. 1996. Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops. hep-th/9609128 (September 16). doi:doi:[http://dx.doi.org/10.1016/S0370-2693%2896%2901623-1 10.1016/S0370-2693(96)01623-1]. http://arxiv.org/abs/hep-th/9609128.
 * Mann, A. K., and P. Kusch. “Further Data on the Spin Gyromagnetic Ratio of the Electron.” Physical Review 77, no. 4 (February 15, 1950): 435–38. doi:10.1103/PhysRev.77.435.
 * 1948 슈와잉거 (J. Schwinger, Phys.Rev. 73(1948) 416L)