**
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.