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Lecture14

# Lecture14 - FriFeb11,2011 Lecture14...

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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 first two secRons of Chapter 2, especially the Infinite Square Well. Closed‐book exam Bring your own handwriYen sheet of equaRons, notes, etc . You don’t need a calculator Save your hand‐wriYen sheet for the Final How to study for 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 quesRons that were not assigned. Note: Because of limited Rme, not all important topics will be on this exam. However, they may sRll appear on the Final. !" \$%&’(( )*% +’,-& ,)%., /0 12 .3/+(%45 ,/(6-789 !: ;/< ’3% 8-6%7 ’ ./)%7=’( >[email protected]: B: ;/< ’3% ’(,/ 8-6%7 ’7 -7-=’( C’6% 0<7&=/7 [email protected]"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 ω 2 x 2 ψ n = E

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Lecture14 - FriFeb11,2011 Lecture14...

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