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Physics Solutions Baym Quantum Mechanics 3.9

Physics 606: Introduction to Quantum Mechanics

credit: physicsworld.com

Instructor: Roland E. Allen

1-979-845-4341, Room M213 MIST

allen@tamu.edu, http://people.tamu.edu/~allen

Office hours: 3-4 p.m. Tuesday, Wednesday, Thursday; or by appointment

This course will meet MWF at 9:10 - 10:00 in Room 109 (MPHY).

Textbook: Lectures on Quantum Mechanics, by Gordon Baym (with supplementary material from the textbooks by Merzbacher, Sakurai, and others). This book was chosen out of the many excellent textbooks on quantum mechanics because it contains very physical and clear discussions of the central topics. The present course will essentially consist of the material in Chapters 3-7, 9, and 11-12 of this textbook, with only a few changes in notation and emphasis, and a few extra topics. The book is so well-written that it is easy to underestimate its depth, and how the main principles of quantum mechanics are covered in the clearest and most economical way. You may want to bring your copy of the textbook to class for easier note-taking. As evidence that our textbook and course are relevant to physics in general, let us note: 'Theoretical physicist Gordon Baym has been selected to receive the 2021 APS Medal for Exceptional Achievement in Research for "major discoveries in theoretical condensed matter and many-body physics, neutron star structure and composition, quark matter and quark-gluon plasma physics, and in atomic physics and ultracold quantum gases."'

Evaluation:

Homework 35%

2 "midterm" exams 40%

final exam (comprehensive) 25%

Homework is due at the beginning of class each Friday (except for spring break and the homework set due on Wednesday, April 13). Homework late by < 48 hours, 1/2 credit. Homework late by > 48 hours, no credit.

The exams will be conducted at 7:30 - 10:30 p.m. on Thursday, February 24; Thursday, March 31; and Thursday, May 5.

We will have optional evening sessions for homework presentations by students (for extra credit) shortly before each exam.

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Here are copies of some old exams, to illustrate the format only. The content of the exams for this semester will be quite different , of course.

2021 Final Exam as pdf , solution to 2021 Final Exam as pdf

2021 Exam 1 as pdf , solution to 2021 Exam 1 as pdf

2021 Exam 2 as pdf , solution to 2021 Exam 2 as pdf

Exam 1 as pdf , solution to Exam 1 as pdf

Exam 2 as pdf , solution to Exam 2 as pdf

Final Exam as pdf , solution to Final Exam as pdf

Exam 1 as pdf

Exam 2 as pdf

Final Exam as pdf

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HOMEWORK

1. January 21: 3.2

2. January 28: 3.3, 3.4, 3.5, 3.6, 3.7

3. February 4: 3.8, 3.9, 3.10, 3.11, 3.12

4. February 11: 4.13, 4.14, 4.15 (a) and (b); S 2.4, S 2.36

5. February 18: S 2.6, S 2.15, S 2.17

6. February 25: 5.1, 5.2 (a) & (b), 5.2 (c) and (d), 5.3, 5.4 (a) and (b)

7. March 4: 5.4 (c), 5.4 (d), 5.5 (a), 5.5 (b), 5.6 (a)

8. March 11 : 6.1 first sentence only, 6.2 (a), 6.2 (b), 6.2 (c), 6.3

9 . March 25: 6.5 (a) & (b), 7.1 (a), 7.1 (b), 7.2, 7.3 (a) -- ground state (of hydrogen atom) only in all parts of 7.3

[See https://demonstrations.wolfram.com/ConnectionBetweenQuantumMechanicalHydrogenAtomAndHarmonicOsc/ for the general case. See also R. J. Yáñez, W. Van Assche, and J. S. Dehesa, "Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom", Phys. Rev. A 50, 3065 (1994).]

10. April 1: 7.3 (b) again ground state (of hydrogen atom) only, 7.3 (c), 7.4 (a)

11. April 8: 7.4 (b) (but Eq. (7-31) only), 7.4 (c), 9.2, 12.4 (a)

12. April 13 [Wednesday] : HW 11.1, HW11.2 (a), HW11.2 (b) and (c) in HW11-2-problems.pdf below,

HW11-2-problems.pdf

13. April 22 : 11.7, S 5.11 (a) and (b) only; HW 12.1, HW 12.2, HW 12.3 in attached HW12-3-problems.pdf below

HW12-3-problems.pdf

14. April 29: 11.3 (a), 11.3 (b), 12.1; HW13.1 and HW13.2 (in HW13-2-problems.pdf below).

HW13-2-problems.pdf

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The following are in accordance with required components of a course syllabus:

Grading scale (course average): 85-100 A, 70-84 B, 50-69 C, 40-49 D, 0-39 F.

Student rule 7: http://student-rules.tamu.edu/rule07 . Work can be made up with a university excuse (for illness, injury, activity on university authorized activity list, etc.).

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637. For additional information visit http://disability.tamu.edu/ .

Academic Integrity Statement and Policy - "An Aggie does not lie, cheat or steal, or tolerate those who do."

Academic Integrity Statement: "On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work." - http://aggiehonor.tamu.edu .

Physics Solutions Baym Quantum Mechanics 3.9

Source: http://people.tamu.edu/~allen/Phys606.html