|| Don't forget to submit your Graded HW #5!
|| Statistics of the current scores in this class are posted below. Answers/Solutions to graded HW #5 problems are here.
|| Graded HW #5 is here. It is due on Tuesday May 11.
|| Solutions to Exam #2 problems including some comments after exam grading are posted below together with the score statistics on the exam and also of the current total scores, after Exams 1-2 and HWs 1-4.
||Midterm Exam #2
||Exam 2 problems are here. Equations sheet for the exam is here.
|| Solutions to Exam #2 problems can be found below.
||Prepare for the midterm exam #2
|| Equations sheet for the upcoming exam is here. Make sure you are familiar with these equations and which QM systems they correspond to.
|| Solutions to example problems from the previous years Exam #2 are here.
||Ch.17: Ex.Pr 17.1; Qs: 17.3,10,14,15; Pr: 17.3,17.6. Below are links to educational YouTube videos illustrating basic aspects of Nuclear Magnetic Resonance which I will discuss in the next lecture. You want to watch videos 01 and 02.
|The tentative equations sheet for the upcoming Exam #2 is here.
Example problems from the previous years Exam #2 are here.
||Ch.8: 8.3-8.6 [8.7].
||Ch.8: Ex.Pr: 8.2-8.6; Qs: 8.1,8.2,8.7,8.10,8.12,8.17; Pr: 8.7 (what's wrong in this problem?), 8.14, 8.15.
||Solutions to HW#4 problems are available here
||Ch.8: 8.1-8.2, 8.9.
||See lecture notes
||Don't forget to submit your graded HW#4 which is due on April 22.
||Ch.12: 12.2-12.4; Ch.8: 8.1-8.2.
||Ch.8: Ex.Pr: 8.1; Q: 8.4.
||Don't forget to work on your graded HW#4 which is due on April 22.
||Ch.10: 10.1-10.3; and 6.2.
||Ch.10: Ex.Pr. 10.1-10.2; Pr: 10.2, 10.3(matrices), 10.6,10.7,10.10.
Your graded Homework #4 (due on Tuesday April 22) is here.
For those who are curious about vector/matrix representations of the wavefunctions and operators -- here is an explanation with some examples.
Also posted here is a detailed description of how to determine eigenfunctions of Sx operator and how to answer the question about measuring Sx in the example from the lecture.
|Answers/solutions to graded Homework #3 problems are here.
|| Ch.10: Qs: 10.1, 10.7, 10.12.
||Ch.9 to the end, Ch.10.1
|| Ch.9: Qs: 9.5,9.9; Pr: 9.9, 9.10, 9.12, 9.26. Calculate the average potential energy of electron in the 2p orbital and assess if the relationshiop = 2*En which we obtained in class for the 1s orbial still holds.
|| Ch.9: Ex.Pr: 9.3-9.6; Qs: 9.1,9.6,9.10,9.12,9.19; Pr: 9.4, 9.5, 9.7. Graded HW #3 is here. It is due on Thursday April 8.
||Ch.9: Qs: 9.4,9.7,9.8,9.16. Pr: 9.2. Ex.Pr: 9.1,9.2. Show by direct substitution and calculation that exp(-r/a) is a solution to Shroedinger's Eq. for H-atom when l=0; determine the values of a and E.
What is the degeneracy of the state(s) of H atom with the principal Q.N. n?
||Ch.7: 7.5-to the end
|| Ch.7: Ex.Pr 7.6; Qs: 7.7, 7.13; Pr: 7.35, 7.37. Prove the commutator relationship for the square and one of the projections of the angular momentum operator (see lecture notes).
|| Answers/solutions to Exam 1 problems and the score statistics are posted below.  |
|| Ch.7: Qs: 7.1, 7.3, 7.12, 7.14; Pr: 7.7,7.20, 7.34. Do Exam 1 problem 4A.
||Midterm Exam #1
|| Exam 1 problems are here.
||Review sesssion in preparation for the midterm exam #1. Bring your questions
||Bring your questions.Solutions to graded homework #2 problems are here. Equations sheet for the upcoming Exam 1 is here
||Answers/solutions to Exam 1 problems from the previous year are here.   |
||Ch.6: Example Prs: 6.3, 6.4. Qs: 6.5,5.7-8. Pr: 6.3,6.6,6.7,6.9,6.11,6.23. Prove the genearal relationships for the commutators which I gave you in class. Specifically, evaluate the commutator [A,BC].
Example problems from the previous year Exam #1 are here.
||Ch 7: 7.2, 7.4
||Ch.7: Ex.Pr.: 7.4,7.5. Qs: 7.11,7.19. Pr: 7.10,7.17,
7.35(b). Your graded Homework #2 (due on Mar 9, 2021) is here.
||Ch 7: 7.1,7.3, also 2.1
||Ch.7: Qs: 7.1,7.6,7.8; Pr: 7.8,7.15,7.17.
Calculate the penetration length for electron using the same model as we used in class for the Harry Potter and Platform 9 3/4 problem
||For those who are curious:
here is a calculation of the probability to find quantum mech
anical H.O. outside the allowed range for a classical H.O. To
download it click
||Ch.5: 5.1-5.2, 5.6-5.8
||Ch.5: Qs: 5.6; Pr: 5.7.
|| Answers to graded Homework #1 problems are here.
||Video recording of today's asynchronous lecture and the lecture notes have been posted on ELMS: BCHM485_L7_add_snowday.mp4 and BCHM485_L7_add_snowday_notes.pdf. Read:
Ch.4: 4.3; Ch.5: 5.3
||Ch.4: Pr: 4.17-19, 4.22, 4.23; Ch.5: Pr: 5.4, 5.5.
||Ch.4: Ex.Pr.4.1-4.3; Pr: 4.12,4.16.
||Some useful trigonometric identities and other formulae can be found here and on ELMS.
||Ch.4: Qs: 4.2,4.9-10,4.14-15,4.18-20; Pr: 4.9,4.10,4.28,4.29. Your graded Homework #1 (due on Feb 18, 2021) is here.
||Ch.4: Qs: 4.1,4.3-5,4.11; Pr: 4.4,4.6,4.13. Do the Schoedinger's cat problem from the last assignment.
||Ch.4: Pr: 4.5. Question: Schroedinger's cat was found alive in 64% experiments and dead in 36%. Reconstruct the wavefunction of the cat. See also HW exercises on the last pages of the lecture notes
||Ch.3: 3.4-3.5 (3.6).
||Ch.3: Qs: 3.9-3.10; Pr: 3.12,3.16.
Question: How can you tell from the outcome of your experiments if the QM system is in a pure state or in a superposition state?
||Ch.2: 2.5,2.6,2.7; Ch.3: 3.1-3.3.
||Ch.2: Ex.Pr. 2.3,2.4; Pr: 2.12, 2.14; Ch.3: Qs:3.2-3.9; Pr: 3.1,3.2,3.8,3.9
|| QCS: Ch.1 & Ch.2: 2.2-2.3
|| Ch.1: Do Example problem: 1.3 from Ch.1: determine the radius of the lowest-energy orbit of electron in Bohr's planetary model of the hydrogen atom.
Using Wien's displacement law, λmax*T=1.44/5 cm*K, perform the following calculations:
(1) estimate λmax for your body radiation, and
(2) assuming that the maximum of Sun's radiation is in the yellow range, i.e. λmax ~ 580 nm, estimate the temperature of the Sun's surface.
It's not too late to prepare yourself for the course. The relevant information can be found below and also at ELMS.
|| Prepare yourself for the course. The relevant information can be found
|| Pepare yourself for the course. The relevant information can be found here.