Quantum scattering - 편집 역사

2021년 2월 17일 (수) 10:03에 Pythagoras0님의 편집

2021-02-17T10:03:26Z

Pythagoras0: /* 메타데이터 */ 새 문단

2020-12-28T12:55:37Z

메타데이터: 새 문단

2020년 12월 28일 (월) 12:07에 Pythagoras0님의 편집

2020-12-28T12:07:16Z

2020년 11월 16일 (월) 15:48에 Pythagoras0님의 편집

2020-11-16T15:48:16Z

2020년 11월 14일 (토) 06:43에 Pythagoras0님의 편집

2020-11-14T06:43:06Z

2020년 11월 13일 (금) 10:00에 imported>Pythagoras0님의 편집

2020-11-13T10:00:27Z

imported>Pythagoras0: /* continuous spectrum */

2014-10-06T03:32:07Z

continuous spectrum

2013년 12월 17일 (화) 14:07에 imported>Pythagoras0님의 편집

2013-12-17T14:07:10Z

imported>Pythagoras0: /* time independent Schrodinger equation */

2013-02-19T21:39:10Z

time independent Schrodinger equation

imported>Pythagoras0: /* sech potential example */

2013-02-19T21:31:31Z

sech potential example

@@ 81번째 줄: / 81번째 줄: @@
 [[분류:migrate]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q2381860 Q2381860]

← 이전 판		2020년 12월 28일 (월) 12:55 판
80번째 줄:		80번째 줄:
	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:migrate]]		[[분류:migrate]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q2381860 Q2381860]

@@ 2번째 줄: / 2번째 줄: @@
 * <math>\varphi_{xx}+(\lambda-u)\varphi=0</math>
-* discrete spectrum <math>\lambda<0</math>
+* discrete spectrum <math>\lambda<0</math>
-* continuous spectrum <math>\lambda>0</math>
+* continuous spectrum <math>\lambda>0</math>
 * for lists [http://en.wikipedia.org/wiki/Delta_potential_barrier_%28QM%29 http://en.wikipedia.org/wiki/Delta_potential_barrier_(QM)]
@@ 15번째 줄: / 15번째 줄: @@
 :<math>\varphi_{xx}+(\lambda-u(x))\varphi=0</math>
-−
 ==continuous spectrum==
@@ 23번째 줄: / 23번째 줄: @@
 ** <math>\varphi \sim e^{-ikx}+\rho(k,t)e^{ikx}</math> as <math>x\to +\infty</math>
 ** <math>\varphi \sim \tau(k,t)e^{-ikx}</math> as <math>x\to -\infty</math>
-* <math>\rho(k,t)</math> and <math>\tau(k,t)</math> are called the reflection and transmission coefficient
+* <math>\rho(k,t)</math> and <math>\tau(k,t)</math> are called the reflection and transmission coefficient
-−
 ==potential scattering==
@@ 35번째 줄: / 35번째 줄: @@
 <math>|r|^2+|t|^2=1</math>
-−
-−
 ==delta potential example==
@@ 43번째 줄: / 43번째 줄: @@
 * [[delta potential scattering]]
-−
-−
 ==harmonic oscillator==
@@ 51번째 줄: / 51번째 줄: @@
 * [[harmonic oscillator in quantum mechanics]]
-−
-−
 ==sech potential example==
@@ 65번째 줄: / 65번째 줄: @@
 * [[inverse scattering method]]
-−
 ==expositions==
 * http://docs.google.com/viewer?a=v&q=cache:nCR9E6bwofAJ:www.rpi.edu/dept/phys/courses/phys410/lct11.pdf+plane+wave+scattering+potential&hl=ko&gl=us&pid=bl&srcid=ADGEEShoNleR3WGnxKKLrDSg_ZNAlytq0EsPPn2ZI2GN79gnfdrNls8jrHdLk68yNQnq4RhMdJdTJ25r52naDFkQcYK9jLXMI7awu5BGD2GvPj05Ky5ZQTu0cKdZVyvI_Ff4rcbrIy7D&sig=AHIEtbSbvDC8BEFTsMXaQRZn04q-bivLnQ
 * http://galileo.phys.virginia.edu/classes/752.mf1i.spring03/ScatteringTheory.htm
-−
 ==encyclopedia==

@@ 78번째 줄: / 78번째 줄: @@
 * http://en.wikipedia.org/wiki/Step_potential
 [[분류:physics]]
 [[분류:math and physics]]
 [[분류:migrate]]

@@ 18번째 줄: / 18번째 줄: @@
 ==continuous spectrum==
-* $e^{−ikx}$ is incoming wave from the right to the left
+* <math>e^{−ikx}</math> is incoming wave from the right to the left
-* $e^{ikx}$ represents a wave traveling to the right
+* <math>e^{ikx}</math> represents a wave traveling to the right
 * reflection and transmission coefficient
 ** <math>\varphi \sim e^{-ikx}+\rho(k,t)e^{ikx}</math> as <math>x\to +\infty</math>
@@ 73번째 줄: / 73번째 줄: @@
 ==encyclopedia==
-* [http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation http://en.wikipedia.org/wiki/Schrödinger_equation]<br>
+* [http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation http://en.wikipedia.org/wiki/Schrödinger_equation]
-* [http://en.wikipedia.org/wiki/Spectrum_%28functional_analysis%29 http://en.wikipedia.org/wiki/Spectrum_(functional_analysis)]<br>
+* [http://en.wikipedia.org/wiki/Spectrum_%28functional_analysis%29 http://en.wikipedia.org/wiki/Spectrum_(functional_analysis)]
 * http://en.wikipedia.org/wiki/Rectangular_potential_barrier
 * http://en.wikipedia.org/wiki/Step_potential

← 이전 판		2020년 11월 13일 (금) 10:00 판
80번째 줄:		80번째 줄:
	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:math and physics]]		[[분류:math and physics]]
		+	[[분류:migrate]]

@@ 6번째 줄: / 6번째 줄: @@
 * for lists [http://en.wikipedia.org/wiki/Delta_potential_barrier_%28QM%29 http://en.wikipedia.org/wiki/Delta_potential_barrier_(QM)]
 ==time independent Schrodinger equation==
@@ 59번째 줄: / 56번째 줄: @@
 * [[sech potential example]]
 ==related items==
@@ 65번째 줄: / 64번째 줄: @@
+==expositions==

@@ 12번째 줄: / 12번째 줄: @@
 ==time independent Schrodinger equation==
-* [[Schrodinger equation]]<br><math>E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi</math><br>
+* [[Schrodinger equation]]
-*  simplified form<br><math>-\varphi_{xx}+u(x)\varphi = \lambda\varphi</math><br><math>\varphi_{xx}+(\lambda-u(x))\varphi=0</math><br>
+:<math>E \psi = -\frac{\hbar^2}{2m}{\partial^2 \psi \over \partial x^2} + V(x)\psi</math>

← 이전 판		2013년 2월 19일 (화) 21:31 판
56번째 줄:		56번째 줄:

	* [[sech potential example]]		* [[sech potential example]]
−
−
−
−	~~# \[Lambda] := -1<br> u[x_] := -2 Sech[x]^2<br> f[x_] := Sech[x]<br> Simplify[D[D[f[x], x], x] + (\[Lambda] - u[x]) f[x]]<br> Plot[u[x], {x, -5, 5}]~~
−
−
−
−
−
−

	==related items==		==related items==