October 9 - announcements

• Withdraw (W) deadline is Monday, Oct 30.

• Exam 2, Wednesday, Nov 01.• Covers Ch 3 and 4.• Same format as Exam 1. 3 conceptual/short answer, 2 multipart problems.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Prof. Robert Brecha, University of Dayton

“Climate Change and Sustainability: What’s Working and Where do we Stand?”

8 Oct 16

M: free-particle Schrodinger eq'n; the uncertainty principle. Ch4.3-4.4.

W: mathematics of the uncertainty principle. Ch4.7.

F: the Copenhagen interpretation. Ch4.5. QUIZ 5

Optional: Ch4.6.

HW 7. Due Oct 25 (Wed).

Ch4 (38, 41, 44, 47, 50, 58, 61, 65, 71).

9 Oct 23

M: time-dependent Schrodinger equation. Ch5.1.

W: stationary states. Ch5.2-5.3.

F: classical bound states. Ch5.4. QUIZ 6

10 Oct 30

M: particle in a box. Ch5.5.

W: In-class Exam #2 (Ch3, 4).

F: particle in a box. Ch5.5.

HW 8. Due Nov 08 (Wed).

Ch5 (19, 20, 21, 22, 24, 28, 30).

October 25 - announcements

• Withdraw (W) deadline is Monday, Oct 30.

• Quiz 6 on Friday.

• Exam 2, Wednesday, Nov 01.• Covers Ch 3 and 4.• Same format as Exam 1. 3 conceptual/short answer, 2 multipart problems.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Prof. Robert Brecha, University of Dayton

“Climate Change and Sustainability: What’s Working and Where do we Stand?”

• External Advisory Board lunch open to students.• Friday, Oct 27, noon-1pm.

October 27 - announcements

• Withdraw (W) deadline is Monday, Oct 30.

• Exam 2, Wednesday, Nov 01.• Covers Ch 3 and 4.

• Same format as Exam 1. 3 conceptual/short answer, 2 multipart problems.

October 30 - announcements

• Withdraw (W) deadline is today.

• Exam 2, Wednesday, Nov 01.• Covers Ch 3 and 4.• Same format as Exam 1. 3 conceptual/short answer, 2 multipart problems.

• No dept seminar this week.

9 Oct 23

M: time-dependent Schrodinger equation. Ch5.1.

W: stationary states. Ch5.2-5.3.

F: classical bound states. Ch5.4. QUIZ 6

10 Oct 30

M: particle in a box. Ch5.4-5.5.

W: In-class Exam #2 (Ch3, 4).

F: finite well. Ch5.6. NO QUIZ

HW 8. Due Nov 08 (Wed).

Ch5 (19, 20, 21, 22, 24, 28, 30).

11 Nov 06

M: finite well. Ch5.6.

W: simple harmonic oscillator. Ch5.7.

F: expectation values. Ch5.8. QUIZ 7

Oct 30

Ψ 𝑥, 𝑡 = 𝜓𝑛 𝑥 𝑒−𝑖

𝐸ℏ𝑡

Only spatial wave function is shown.

Oct 30

Review of classical behavior

Source: phys.libretexts.org/

Correspondence principle

Oct 30

November 03 - announcements

• Exam scores posted on Tuesday, exams returned Wednesday.

• Summer research involvement – start inquiring now.• Undergraduate Summer Scholars, deadline late January.• Research Experience for Undergraduates programs, deadlines through early spring.

• Academic and career advising• Class of 2018 - Karthik Vishwanath• Class of 2019 - Paul Urayama• Class of 2020 - Burçin Bayram• Class of 2021 - Stephen Alexander, Chief Departmental Advisor• Pre-med & Biological Physics majors - Paul Urayama

9 Oct 23

M: time-dependent Schrodinger equation. Ch5.1.

W: stationary states. Ch5.2-5.3.

F: classical bound states. Ch5.4. QUIZ 6

10 Oct 30

M: particle in a box. Ch5.4-5.5.

W: In-class Exam #2 (Ch3, 4).

F: finite well. Ch5.6. NO QUIZ

HW 8. Due Nov 08 (Wed).

Ch5 (19, 20, 21, 22, 24, 28, 30).

11 Nov 06

M: finite well. Ch5.6.

W: simple harmonic oscillator. Ch5.7.

F: expectation values. Ch5.8. QUIZ 7

Nov 03

Review of classical behavior

Finite square well

Nov 03

Nov 03

𝑑2𝜓 𝑥

𝑑𝑥2=2𝑚

ℏ2𝑈 𝑥 − 𝐸 𝜓 𝑥

Nov 03

November 06 - announcements

• Tentative: Exam scores posted on Tuesday, exams returned Wednesday.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Thomas Greenslade, Kenyon College• "Adventures with Oscillations and Waves“

• Final Exam, Wednesday, December 13, 10:15am. 120 min.• Take-home part: 4 problems, handed out 1 week prior to final exam date. Cumulative.• In-class part: same structure as exam 1 and 2. Covers new material only.

10 Oct 30

M: particle in a box. Ch5.4-5.5.

W: In-class Exam #2 (Ch3, 4).

F: finite well. Ch5.6. NO QUIZ

HW 8. Due Nov 08 (Wed).

Ch5 (19, 20, 21, 22, 24, 28, 30).

11 Nov 06

M: finite well. Ch5.6.

W: simple harmonic oscillator. Ch5.7.

F: expectation values. Ch5.8. QUIZ 7

HW 9. Due Nov 15 (Wed).

Ch5 (31, 34, 37, 38, 40, 42, 49, 51, 54).

12 Nov 13

M: quantum mechanics formalism. Ch5.8, 5.11.

W: quantum mechanics formalism. Ch5.8, 5.11.

F: non-stationary states. Ch5.9. QUIZ 8

HW 10. Due Nov 29 (Wed).

Ch5.

Additional Ch5 problems to be posted.

Nov 06

𝑑2𝜓 𝑥

𝑑𝑥2=2𝑚

ℏ2𝑼 𝒙 − 𝑬 𝜓 𝑥

Finite square well

November 08 - announcements

• Quiz on Friday.

• Exam 2: scores posted on Wednesday, returned on Friday.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Thomas Greenslade, Kenyon College• "Adventures with Oscillations and Waves“

• Final Exam, Wednesday, December 13, 10:15am. 120 min.• Take-home part: 4 problems, handed out 1 week prior to final exam date. Cumulative.• In-class part: same structure as exam 1 and 2, but have 120 min. Covers new material only.

• Scoring guidelines• +0.5 s.d. = A/B• mean = mid B• -0.5 s.d. = B/C• -1.5 s.d. = C/D

EXAMPLE

Solving Differential Equations

• Separate variables, if possible.

• Identify regions for a piecewise solution

• Find a general solution for each region.• Guess the solution (informed by experience). Course like MTH245 or MTH347

are helpful, but solutions are still essentially guesses. • Number of arbitrary constant = order of differential equation

• Find the specific solution by applying boundary conditions

• Practice! HW, additional problems.

• Problems may ask you to do particular steps.

Nov 08

Nov 08

𝑦 = csc 𝑥 =1

sin 𝑥

𝑦 = sec 𝑥 =1

cos 𝑥

ℏ2𝑘2

2𝑚

𝑈0 =

ℏ2𝑘2

2𝑚sec2

𝑘𝐿

2, 𝑘𝐿 = 0, 𝜋 , 2𝜋, 3𝜋 , …

ℏ2𝑘2

2𝑚csc2

𝑘𝐿

2, 𝑘𝐿 = 𝜋, 2𝜋 , 3𝜋, 4𝜋 , …

Nov 08

Try drawing the first few states.

November 10 - announcements• Scoring guidelines

• +1 s.d. = mid A• mean = mid B• -1 s.d. = mid C• -2 s.d. = mid D

• Rescore requests due Fri, Nov 17.

• Mid-course weighting• exam 1 - 38%• exam 2 - 38%• HW - 12%• QU - 12%

• Check scores to be sure they are correct.

• Late HW can be submitted for half-credit until the last day of classes.

−ℏ2

2𝑚

𝑑2𝜓 𝑥

𝑑𝑥2+1

2𝜅𝑥2𝜓 𝑥 = 𝐸𝜓 𝑥

Simple harmonic oscillator

𝐸𝑛 = 𝑛 +1

2ℏ𝜔 𝜔 =

𝜅

𝑚

Nov 10

Image source: HyperPhysics Nov 10

November 13 - announcements

• Exam 2 rescore requests due Nov 15.

• Ch5 additional problems posted soon.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Gabriel Spalding, Illinois Wesleyan University• “Just another day at the office: Faster-than-light imaging and violations of

local realism”

11 Nov 06

M: finite well. Ch5.6.

W: simple harmonic oscillator. Ch5.7.

F: expectation values. Ch5.8. QUIZ 7

HW 9. Due Nov 15 (Wed).

Ch5 (31, 34, 37, 38, 40, 42, 49, 51, 54).

12 Nov 13

M: expectation values. Ch5.8.

W: expectation values. Ch5.8.

F: well-defined observable. Ch5.11. QUIZ 8

HW 10. Due Nov 29 (Wed).

Ch5 (55-58, 69, 70, 72, 74, 78-86).

13 Nov 20

M: non-stationary states. Ch5.9.

W: no class.

F: no class.

November 15 - announcements

• Exam 2 rescore requests due today.

• Reminders• Posted solutions are a study guide. If solutions don’t make sense, post on Piazza, see me, etc.• Work out (don’t just read) example problems. Do the additional problems.• Don’t stop at answering the question. Think about the significance of each problem.

• Wednesday seminar, 4:25pm, 221 Kreger Hall• Gabriel Spalding, Illinois Wesleyan University• “Just another day at the office: Faster-than-light imaging and violations of local realism”

11 Nov 06

M: finite well. Ch5.6.

W: simple harmonic oscillator. Ch5.7.

F: expectation values. Ch5.8. QUIZ 7

HW 9. Due Nov 15 (Wed).

Ch5 (31, 34, 37, 38, 40, 42, 49, 51, 54).

12 Nov 13

M: expectation values. Ch5.8.

W: expectation values. Ch5.8.

F: well-defined observable. Ch5.11. QUIZ 8

HW 10. Due Nov 29 (Wed).

Ch5 (55-58, 69, 70, 72, 74, 78-86).

13 Nov 20

M: non-stationary states. Ch5.9.

W: no class.

F: no class.