Adiabaticity - Revision history

Hayes at 16:11, 8 August 2011

2011-08-08T16:11:23Z

← Older revision		Revision as of 16:11, 8 August 2011
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-	Adiabaticity is defined as~~<ref>This PNG file has been added because Latex rendering is incomplete at present. Alternatively, we could use the following to render the superscripts and subscripts:~~ <math>\xi_{kn}~~</math> = ((<math>~~Z_1 Z_2 A_1~~</math><math>^~~{~~1/2}</math>)/~~6.34977) (1/(~~<math>~~E_p - s E_k~~</math>~~)~~<math>~~^{1/2}~~</math>~~ - 1/(~~<math>~~E_p - s E_n~~</math>~~)~~<math>~~^{1/2}</math>~~)</ref>~~	+	Adiabaticity is defined as
		+
		+	<math>\xi_{kn}\equiv \frac{Z_1 Z_2 \sqrt{A_1}}{6.34977} \left( (E_p - s E_k)^{-1/2} - (E_p - s E_n)^{-1/2}\right)</math>
		+

-	~~[[Image:Adiabaticity definition.png \|frameless\|600px\|x]]~~

	where		where

2011-05-09T11:55:22Z

← Older revision		Revision as of 11:55, 9 May 2011
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-	Adiabaticity is defined as	+	Adiabaticity is defined as<ref>This PNG file has been added because Latex rendering is incomplete at present. Alternatively, we could use the following to render the superscripts and subscripts: <math>\xi_{kn}</math> = ((<math>Z_1 Z_2 A_1</math><math>^{1/2}</math>)/6.34977) (1/(<math>E_p - s E_k</math>)<math>^{1/2}</math> - 1/(<math>E_p - s E_n</math>)<math>^{1/2}</math>)</ref>

	[[Image:Adiabaticity definition.png \|frameless\|600px\|x]]		[[Image:Adiabaticity definition.png \|frameless\|600px\|x]]
-
-	This PNG file has been added because Latex rendering is incomplete at present<ref>Alternatively, we could use the following to render the superscripts and subscripts: <math>\xi_{kn}</math> = ((<math>Z_1 Z_2 A_1</math><math>^{1/2}</math>)/6.34977) (1/(<math>E_p - s E_k</math>)<math>^{1/2}</math> - 1/(<math>E_p - s E_n</math>)<math>^{1/2}</math>)</ref>

	where		where

2011-05-09T11:54:03Z

Replaced the adiabaticity formula with a PNG as a temporary solution to incomplete Latex rendering.

← Older revision		Revision as of 11:54, 9 May 2011
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	Adiabaticity is defined as		Adiabaticity is defined as

		+	[[Image:Adiabaticity definition.png \|frameless\|600px\|x]]

-	<math>\xi_{kn}</math> = ((<math>Z_1 Z_2 A_1</math><math>^{1/2}</math>)/6.34977) (1/(<math>E_p - s E_k</math>)<math>^{1/2}</math> - 1/(<math>E_p - s E_n</math>)<math>^{1/2}</math>)	+	This PNG file has been added because Latex rendering is incomplete at present<ref>Alternatively, we could use the following to render the superscripts and subscripts: <math>\xi_{kn}</math> = ((<math>Z_1 Z_2 A_1</math><math>^{1/2}</math>)/6.34977) (1/(<math>E_p - s E_k</math>)<math>^{1/2}</math> - 1/(<math>E_p - s E_n</math>)<math>^{1/2}</math>)</ref>

	where		where
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	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.		There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.
		+
		+	==Notes==
		+
		+	<references/>

2011-05-09T11:07:45Z

rendered the equation for xi piecewise in Latex. See talk page.

← Older revision		Revision as of 11:07, 9 May 2011
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	Adiabaticity is defined as		Adiabaticity is defined as

-	<math>\~~xi \equiv~~ 1</math>	+
		+	<math>\xi_{kn}</math> = ((<math>Z_1 Z_2 A_1</math><math>^{1/2}</math>)/6.34977) (1/(<math>E_p - s E_k</math>)<math>^{1/2}</math> - 1/(<math>E_p - s E_n</math>)<math>^{1/2}</math>)
		+
		+	where
		+
		+	<math>s = 1 + A_1/A_2 </math>.

	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.		There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.

2011-04-26T15:45:11Z

← Older revision		Revision as of 15:45, 26 April 2011
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	Adiabaticity is defined as		Adiabaticity is defined as

-	<math>~~/sqrt{2}~~</math>~~...~~	+	<math>\xi \equiv 1</math>

	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.		There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.

2011-03-09T13:19:41Z

fixed punctuation

← Older revision		Revision as of 13:19, 9 March 2011
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	<math>/sqrt{2}</math>...		<math>/sqrt{2}</math>...

-	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]] of single-step excitations for which Gosia will yield accurate results.	+	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]]) of single-step excitations for which Gosia will yield accurate results.

2011-03-09T13:18:05Z

Changed link style and added a simple explanation

← Older revision		Revision as of 13:18, 9 March 2011
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-	Adiabaticity is defined as ~~{{math\|<VAR>ξ</VAR>}}~~	+	Adiabaticity is defined as

-	<math>/sqrt{2}</math>	+	<math>/sqrt{2}</math>...

-	There are [~~http://www-user.pas.rochester.edu/~gosia/mediawiki/index.php/Adiabaticity_limit~~ limits] to the adiabaticities of excitations for which Gosia will yield accurate results.	+	There are [[adiabaticity_limit \| limits]] to the adiabaticities (more accurately, to the [[adiabaticity product \| adiabaticity products]] of single-step excitations for which Gosia will yield accurate results.

2011-01-11T05:12:18Z

← Older revision		Revision as of 05:12, 11 January 2011
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	<math>/sqrt{2}</math>		<math>/sqrt{2}</math>
		+
		+	There are [http://www-user.pas.rochester.edu/~gosia/mediawiki/index.php/Adiabaticity_limit limits] to the adiabaticities of excitations for which Gosia will yield accurate results.

2011-01-11T05:04:35Z

← Older revision		Revision as of 05:04, 11 January 2011
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-	Adiabaticity is defined as {{math\|<VAR>ξ=</VAR>}}~~....~~	+	Adiabaticity is defined as {{math\|<VAR>ξ</VAR>}}

	<math>/sqrt{2}</math>		<math>/sqrt{2}</math>

2011-01-11T05:04:04Z

← Older revision		Revision as of 05:04, 11 January 2011
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-	Adiabaticity is defined as <math>\xi=</~~math~~>....	+	Adiabaticity is defined as {{math\|<VAR>ξ=</VAR>}}....
		+
		+	<math>/sqrt{2}</math>