Lecture14.pptx

Lecture14.pptx - 2/11/11 PHYS360QuantumMechanics...

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2/11/11 1 PHYS 360 Quantum Mechanics Fri Feb 11, 2011 Lecture 14: Raising and lowering operators HW 4 due on Monday Feb 21: Ch 2, #13, 14, 19, 22 Midterm Exam #1 on Monday Feb 14 (in class). Topics: all material in Chapter 1 and the frst two sec±ons o² Chapter 2, especially the Infnite Square Well. Closed‐book exam Bring your own handwri³en sheet o² equa±ons, notes, etc . You don’t need a calculator Save your hand‐wri³en sheet ²or the Final How to study ²or the Midterm Exam: Read the book again. Make sure you know how to do all assigned HW problems. Review topics covered in the lectures. Try solving HW ques±ons that were not assigned. Note: Because o² limited ±me, not all important topics will be on this exam. However, they may s±ll appear on the Final. !" $%&’(( )*% +’,-& ,)%., /0 12 .3/+(%45 ,/(6-789 !: ;/< ’3% 8-6%7 ’ ./)%7=’( >?@A: B: ;/< ’3% ’(,/ 8-6%7 ’7 -7-=’( C’6% 0<7&=/7 D?@E"A: F: G/(6% )*% =4%5-7H%.%7H%7) G&*3IH-78%3 %J<’=/7 0/3 )*% %-8%70<7&=/7, ?D 7 A ’7H %-8%76’(<%, ?K 7 A: L: G/(6% 0/3 )*% &/%M&-%7), & 7 : N: O/7,)3<&) )*% =4%5H%.%7H%7) C’6% 0<7&=/7: ?1KPA ! ( x , t ) = c n n = 1 " # $ n ( x ) e % iE n t / ! c n = ! n x ( ) * " # ( x ,0) dx H n = E n n ! ( x ,0) = c n " n ( x ) n = 1 # $ -2 -1 0 1 2 1 2 3 Recap – the harmonic oscillator : V ( x ) = 1 2 m ω 2 x 2 2 2 m d 2 ψ n dx 2 + 1 2 m 2 x 2
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Lecture14.pptx - 2/11/11 PHYS360QuantumMechanics...

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