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Homework page for PHYS 3496; Fall 2024
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The
homework problems will be posted on this web page, the most recent ones on top.
You will receive the assignments also on Crowdmark and you will have to submit the solutions on
Crowdmark too; to learn how to do that please click
on this link https://crowdmark.com/help/completing-and-submitting-an-assignment/.
Chapter 11 (Arfken)
- Thursday, November 21: Read Section
11.6 (until page
503) and do Problems 11.6.3, 11.6.5, 11.6.6,
11.6.10 (due on Tuesday, December
3; you will
receive the full assignment on Crowdmark next
week.)
- Homework
# 6 Solutions
- Thursday, November 7: Finish reading Section
11.4, read Section 11.5 and do Problems 11.5.1, 11.5.2, 11.5.7, 11.5.8 (due on
Tuesday, November 19; you will receive
the full assignment on Crowdmark tomorrow.)
- Tuesday,
November 5: Read Section 11.4 (until page 489) and do Problems
11.4.1, 11.4.2, 11.4.3, 11.4.6, 11.4.9 (due on Tuesday, November 19; you will receive the full assignment on Crowdmark
on Friday.)
- Homework # 5 Solutions
- Thursday, October 31: Read Section 11.3 and do Problems 11.3.3, 11.3.6 and 11.3.7 (due
on Sunday, November 10;
you have received the full assignment on Crowdmark.)
- Tuesday, October 29: Finish reading Section 11.2 and
do Problem 11.2.9
(c,d,e,g) (due
on Sunday, November 10;
you will receive the full assignment on Crowdmark.)
- Thursday, October 24: Read this review of complex numbers,
then read Sections 11.1 and 11.2 (until Example 11.2.2), and do Problems 11.2.1, 11.2.3, 11.2.4, 11.2.7, 11.2.8 (due on Sunday, November 10; you will receive the full assignment on Crowdmark
next week.)
Chapter 8 (Arfken)
Also do Problems 8.3.1, 8.3.2, 8.3.3- these three problems
will not be collected but I will post the solutions with those of Assignment #
4 (Section 8.2 problems) next week; I will also go over 8.3.2 and 8.3.3 in class next Tuesday.
Hints for Problem
8.3.1:
· Use the generalized power series
method (Frobenius Method).
· Since n already appears in the ODE, use j to index the generalized power series.
· You can get both series y_even and y_odd in part b)
if you don’t set a1=0 in
part b) as suggested in the book. So s=0 gives us both of the linearly
independent solutions and there is no need to consider s=1 in part c). That’s exactly what we will do for the Hermite ODE
in class in the next lecture.
· For part (d), show that both series
(y_even and
y_odd)
evaluated at -1 or +1 will behave for large j like the harmonic series (or the
negative of that); and hence they both diverge if they continue to infinity.
- Tuesday, October 8: Read Section 8.2 until page 385 and do Problems
8.2.5, 8.2.6, 8.2.9 (due
on Thursday, October 17; you will receive the complete assignment on Crowdmark on Thursday.)
- Thursday, October 3: Read Section 8.1 and the brief review on Hilbert spaces and Hermitian operators I did in
class. Also, start reading Section 8.2.
Chapter 3 (Arfken)
- Homework
# 3 Solutions
- Tuesday, October 1: Finish reading Section 3.10 (until
page 194) and do Problems
3.10.19, 3.10.23, 3.10.27,
3.10.29, 3.10.32, 3.10.34 (due on Tuesday, October 8; you will
receive the complete assignment on Crowdmark
later today.)
Chapter 13 (Boas)
- Homework # 2 Solutions
- Tuesday, September 24: Finish reading Section 3 and do Problem
3.11 (due on Tuesday, October 1; you will receive the full assignment on
Crowdmark later today.) Also start reading Section 3.10 in Arfken’s book.
- Thursday,
September 19: Read Section 3 until page
630 and do Problem 3.4 (due on Tuesday, October 1; you will receive
the full assignment on Crowdmark on September
24.)
- Tuesday,
September 17: Read Section 7 and do Problems 7.3,
7.14 (due on Tuesday,
October 1; you will receive the full assignment on Crowdmark
on September 24.)
- Assignment 1 Solutions
- Thursday, September 12: Read Section 5; and
do Problems 5.2 (b), 5.3 (b) (due
on Monday, September 23, on Crowdmark.) Also,
review Legendre’s Equation and the Legendre polynomials (Chapter 12,
Sections 2-10); here
is a brief summary.
- Tuesday, September 10: Finish reading
Section 2; and do Problems 2.2
and 2.9 (due on Monday, September 23; you will receive the full
assignment on Crowdmark on Thursday.)
Hint for Problem 2.2: You may
start with Equation (2.9)- but with 20 instead of 10 since the width of
the plate is 20 in this problem; then use the given boundary condition at the
bottom edge of the plate to get the coefficients in the expansion. Also,
review Bessel’s Equation and the Bessel functions (Chapter 12, Sections
12-15 and 19); we will use those in the next lecture; here is a brief
summary.
- Thursday, September 5: Read Section 1 and start reading Section 2. Also read the Course Outline and review what you learned in PHYS
2496 on Fourier series, Bessel functions and Legendre polynomials.