P412 Quantum Mechanics, Spring 2019
This
webpage is for the students currently enrolled in P412, Spring
2019.
Any
errors in this web page, comments, or suggestions can be emailed to Prof. Elbio Dagotto (edagotto@utk.edu).
_______________________________________________________________________________
The following
items are available:
1. Syllabus
QM 412 Feb 5-diagonalization-practice-for-Test1
3. Homework problems
HW13, due Jan 17: problems 4.26 (item (a) only), 4.27 (items (a,b,c) only), 4.28, and 4.29.
HW14, due Jan 24: problems 4.32, 4.34 (a good fraction already explained in the lecture), 4.35, and 4.49.
HW15, due Jan 31: problems 5.4, 5.5. and 5.7.
HW16: solutions given directly, not graded.
HW17, due Feb 21: problems 5.15, 5.16, and 5.17.
HW18, due Feb 28: problems 5.18 (item (a) only), 5.21, and 5.23.
HW19, due March 7: show that the result on page 252 book for En^1 is correct for the case of a potential V0 between 0 and a/2 (i.e. do the integral) + problems 6.1 (item(a) only), and 6.2.
HW20, due April 2: problem 6.16; show that Eqs. [6.66] and [6.67] of book are correct starting with the relativistic and spin-orbit corrections as given (this is similar to problem 6.17); problem 6.29 (it is sufficient to show that the dominant term in the correction is order (b/a)^2 i.e. order 10^{-10}; the integrals have to be done by parts); problem 7.1 (note that for the trial wave function used here the normalization A and < T > are already calculated in book and the integrals for < V > are in the back of the book).
HW21, due April 9: problem 7.2 (here for the integrals use the trick x/b=tan(theta) or find integrals somewhere); problem 7.3; problem 7.11 part (a) only (here find integral of cos^2(y).y^2.dy somewhere to get < V >).
HW22, due April 16: problem 9.1 (only focus on 100 and 210, namely find H'_{100,100}, H'_{210,210}, and H'_{100,210); problem 9.5; problem 9.8.
HW23, due April 23: Assuming Eqs.[10.31,32] of the book are correct, then show that Eqs. [10.33,34] are correct; problem 8.1; problem 8.3.
3. Exams
Test 1, Feb 7.
Test 2, Mar 12.
Test 3, May 3, 10:15 AM to 12:15 PM.