QM Course Notes - Revision history

Tom Neiser: /* Gallery */

2014-06-06T21:00:27Z

‎Gallery

2014-04-25T21:21:11Z

‎221B Notes

2014-04-18T00:59:04Z

‎Gallery

2014-04-18T00:58:03Z

‎Gallery

2014-04-14T23:11:20Z

2014-04-09T22:16:55Z

2014-04-02T23:30:42Z

‎221B Notes

2014-04-02T23:29:46Z

‎221B Notes

2014-03-31T21:13:57Z

‎221B Notes

2014-03-31T21:06:34Z

‎221B Notes

← Older revision		Revision as of 21:00, 6 June 2014
Line 337:		Line 337:

	[http://www.pa.ucla.edu/sites/default/files/files/dhoker%20lecture%20notes/quantum_mechanics.pdf Quantum Mechanics] by Prof. Eric D'Hoker<ref>http://www.pa.ucla.edu/content/eric-dhoker-lecture-notes, retrieved 17th April 2014. </ref>.		[http://www.pa.ucla.edu/sites/default/files/files/dhoker%20lecture%20notes/quantum_mechanics.pdf Quantum Mechanics] by Prof. Eric D'Hoker<ref>http://www.pa.ucla.edu/content/eric-dhoker-lecture-notes, retrieved 17th April 2014. </ref>.
		+
		+	'''Quotes'''
		+
		+	''"The student who has read the book but cannot do the problems has learnt nothing."'' - J. J. Sakurai

	'''Figures'''		'''Figures'''

@@ Line 291: / Line 291: @@
 Stark Effect, i.e. polarization of H-atom by E-field:<div class="mw-collapsible mw-collapsed" style="width:750px">
-\[H_1 = -qEz\]
+\[H_1 = -qz E \]
 </div>

@@ Line 338: / Line 338: @@
 [http://www.pa.ucla.edu/sites/default/files/files/dhoker%20lecture%20notes/quantum_mechanics.pdf Quantum Mechanics] by Prof. Eric D'Hoker<ref>http://www.pa.ucla.edu/content/eric-dhoker-lecture-notes, retrieved 17th April 2014. </ref>.
-'''Pictures'''
+'''Figures'''
 <gallery>
   File:Quantum projection of S onto z for spin half particles.PNG|Spin values for fermions.

@@ Line 334: / Line 334: @@
 ==Gallery==
 <gallery>
   File:Quantum projection of S onto z for spin half particles.PNG|Spin values for fermions.

← Older revision		Revision as of 23:11, 14 April 2014
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−	Here is a conglomerate of notes gathered for the graduate QM classes 221A and 221B~~. Compare with the [[Formula Sheet]] for the comprehensive exams~~.	+	Here is a conglomerate of notes gathered for the graduate QM classes 221A and 221B.

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← Older revision		Revision as of 22:16, 9 April 2014
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−	Here is a conglomerate of notes gathered for the graduate QM classes 221A and 221B ~~at UCLA~~. Compare with the [[Formula Sheet]] for the comprehensive exams.	+	Here is a conglomerate of notes gathered for the graduate QM classes 221A and 221B. Compare with the [[Formula Sheet]] for the comprehensive exams.

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@@ Line 265: / Line 265: @@
 j_1(x) = \frac{sin(x)}{x^2} - \frac{cos(x)}{x}
 \]
-<\div>
+</div>

@@ Line 257: / Line 257: @@
 :<math>a_\ell = \frac{e^{2i\delta_\ell}-1}{2ik} = \frac{e^{i\delta_\ell} \sin\delta_\ell}{k} = \frac{1}{k\cot\delta_\ell-ik} \;.</math>
   </div>
 General form of Bessel function and Neumann function and derivatives thereof: <div class="mw-collapsible mw-collapsed" style="width:750px">

@@ Line 227: / Line 227: @@
 Born Approximation $f(\theta)$: <div class="mw-collapsible mw-collapsed" style="width:750px">
    \[
-  f(\theta)= -\frac{m}{2\pi \hbar^2} \int_V e^{i\mathbf{(k'-k).r}} V(\mathbf{r}) d^3\mathbf{r}
+  f(\theta)= -\frac{m}{2\pi \hbar^2} \int_V e^{i\mathbf{(\mathbf{k}'-\mathbf{k}).\mathbf{r}}} V(\mathbf{r}) d^3\mathbf{r}
    \]
 , where k' is the incident beam direction.