Analytical Physics IIb (01:750:228), Fall 2023

Course Instructor: Prof. Andrew Mastbaum (mastbaum@physics.rutgers.edu)

Class Meetings

Two 55-minute in-person lectures per week in the Physics Lecture Hall (PLH, map): Tuesday and Thursday, 4:05–5:00 PM.

One 80-minute in-person workshop recitation/week:

Section Day Time Room
01 W 10:20 AM SEC-218
02 W 12:10 PM SEC-218
03 W 5:40 PM SEC-218

Course Overview

01:750:228 Analytical Physics IIb is a 3-credit course introducing optics, relativity, and modern physics. This course will provide a solid foundation, at an elementary level, in waves and optics, relativity, quantum properties of electrons and photons, wave mechanics, atomic, solid state, nuclear and elementary particle physics. In addition to the two 55-minute lectures, you will meet in one 80-minute recitation each week, where you will gain experience with the material by working through examples and problems.

Topics

Schedule

Note: This schedule is subject to change!

Week Tuesday Lecture Recitation Homework Thursday Lecture
9/4 Nature of light
Reading: 33.1 - 33.3
None HW 1 (Due 9/10) Dispersion, polarization
33.4 - 33.7
9/11 Mirrors and images
34.1 - 34.4 
Recitation 1 HW 2 (Due 9/13) Thin lenses
34.4 - 34.8
9/18 Interference
35.1 - 35.3
Recitation 2 HW 3 (Due 9/20) Thin films
35.4 - 35.5
9/25 Diffraction
36.1 - 36.3
Recitation 3 HW 4 (Due 9/27) Diffraction cont'd
36.4 - 36.5, 36.7
10/2 Special Relativity
37.1 - 37.4
Recitation 4 HW 5 (Due 10/4) Exam 1 (10/5)
10/9 Lorentz transformations
37.5 - 37.6
Recitation 5 HW 6 (Due 10/11) Relativistic kinematics
37.7 - 37.9
10/16 Photons
38.1 - 38.2
Recitation 6 HW 7 (Due 10/18) Photons cont'd
38.3 - 38.4
10/23 Particles & waves
39.1 - 39.3 
Recitation 7 HW 8 (Due 10/25) Atoms
39.4 - 39.6
10/30 Quantum Mechanics in 1D
40.1 - 40.3 
Recitation 8 HW 9 (Due 11/1) QM potentials
40.4 - 40.6
11/6 Atomic Structure
41.1 - 41.3
Recitation 9 HW 10 (Due 11/8) Exam 2 (11/9)
11/13 Hydrogen Atom
41.3 - 41.5
Recitation 10 HW 11 (Due 11/15) Multi-electron atoms
41.6 - 41.8
11/20 Condensed matter & molecules
42.1 - 42.4
Friday schedule
No recitation
HW 12 (Due 11/22) Thanksgiving recess
No lecture
11/27 Conductors & semiconductors
42.5 - 42.8
Recitation 11 HW 13 (Due 11/29) Nuclear Physics
43.1 - 43.4
12/4 Nuclear fission & fusion
43.5 - 43.8
Recitation 12 HW 14 (Due 12/6) Particle physics
44.1 - 44.5
12/11 Lecture None HW 15 (Due 12/13) Reading days
No lecture
Final Exam: Thursday 12/21, 4:00–7:00 PM in PLH

Course Materials

To register for MasteringPhysics, follow the provided Student Instructions to register through Canvas. The easiest way to get access to course materials is to purchase the version that includes the eText within MasteringPhysics. If you choose to buy a hard copy of the book, be sure that it is the 15th edition version with Modern Physics.

To record your answers to lecture questions, you can create a free Mentimeter account, or email them to yourself at the end of the lecture. The lecture questions will not be graded.

For an additional reference for the course material, the free text book OpenStax University Physics Vol.3 is a good resource.

Grading

Your grade will be based on five components:

Recitations

You must attend your own section, and will work with a partner. The worksheets you complete will be graded by your section instructor, each out of 20 points in total.

Homework

Homework is automatically graded, with a total score out of 100. Free Response Problems will allow up to 6 attempts with a 3% penalty on each. Multiple Choice questions will carry a penalty of 100%/(N-1), where N is the number of choices.

Late Homework will carry a penalty of 10% per day (0.4% per hr) with a maximum penalty of 50% (submitted 5 days or more after the deadline). Late penalties apply only to incomplete items (i.e., problems or parts of problems). No extensions will be given for any reason.

Exams

There will be two midterm exams and one comprehensive final exam. Items allowed at exams include: pencil(s), eraser(s), and a scientific calculator. No notes are allowed; a standard equation sheet will be provided.

All exams will be held in person. Midterm exams will be 55 minutes long and consist of about 10–15 multiple choice questions. The final exam will be 180 minutes long and consist of about 30 multiple choice questions.

Letter Grades

The tentative ranges for letter grades are as follows. Note that the thresholds may be lowered, but will not be raised above these levels.

Course Learning Goals

  1. Physics Analysis and Ways of Thinking. Students will be able break down a problem into steps, apply appropriate models and mathematical principles to analyze a situation, articulate a step-by-step solution, and assess the validity of the result.
  2. Optics. Students will be able to apply the physics of geometric optics and wave optics in a variety of physical situations, including applications relevant to human vision, fiber optic communication, and scientific measurements.
  3. Special relativity. Students will be able to discuss the differences between Newtonian kinematics and special relativity, and under what circumstances relativistic physics is required, and will be able to compute relativistic kinematic quantities and energies.
  4. Modern physics. Students will understand the foundations of quantum mechanics and be able to identify the key insights of quantization involved in the photoelectric effect, the Bohr model of the atom, and other systems, as well as the limitations.
  5. Quantum mechanics. Students will be able to characterize the behavior of quantum mechanical systems by applying the Schrodinger equation, and to describe the quantized energy states of a variety of important quantum mechanical systems.
  6. Atomic and molecular physics. Students will be able to compute the energy levels in single-electron atoms in terms of the quantized orbitals that are solutions to the Schrodinger equation, and extend this solution to describe the states of multi-electron systems. Students will also be able to describe how atoms and molecules interact through bonding, and the implications for the electrical behavior of materials.
  7. Nuclear and particle physics. Students will be able to describe the nature of nuclei and types of radiation, calculate rates of decay, and be able to describe the properties of the fundamental particles and interactions that comprise the Standard Model of particle physics.

Physics & Astronomy Departmental Learning Goals

Policies

Changes: The course schedule and guidelines are subject to change. Any changes will be communicated promptly and clearly.

Absences: Students are expected to attend all classes; if you expect to miss one or two classes, please use the University absence reporting website to indicate the date and reason for your absence. An email is automatically sent to your instructors.

If you have been told to quarantine, or are experiencing symptoms of any transmissible disease, please do not attend in-person class meetings. Contact the Professor to make arrangements for handling such absences.

Fostering an equitable and inclusive classroom.  All instructors, students, and staff associated with the Physics and Astronomy Department are expected to follow the Department’s Policy against Discrimination and Harassment https://physics.rutgers.edu/about-us/about-us-policy-affirmation. As stated in this policy, “The Rutgers Department of Physics & Astronomy strives to foster an academic, work, and living environment that is respectful and free from discrimination and harassment. The Department recognizes the human dignity of each member of the community and believes that each member has a responsibility to promote respect and dignity for others so that all community members are free to pursue their educational and work goals in an open environment, to participate in the free exchange of ideas, and to share equally in opportunities.” 

Student Resources

Resources for student success

The faculty and staff at Rutgers are committed to your success. Students who are successful tend to seek out resources that enable them to excel academically, maintain their health and wellness, prepare for future careers, navigate college life and finances, and connect with the RU community. Helpful resources include the Rutgers Learning Centers and school-based advising (for SAS, SOE, SEBS, and RBS). Additional resources that can help you succeed and connect with the Rutgers community can be found at https://success.rutgers.edu.

Please visit the Rutgers Student Tech Guide for resources available to all students. If you do not have the appropriate technology for financial reasons, please email the Dean of Students (deanofstudents@echo.rutgers.edu ) for assistance. If you are facing other financial hardships, please visit the Office of Financial Aid.

Disability Accommodations: Rutgers University welcomes students with disabilities into all of the University's educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: https://ods.rutgers.edu/students/documentation-guidelines. If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please complete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/getting-registered

Academic integrity

Rutgers University takes academic dishonesty very seriously. By enrolling in this course, you assume responsibility for familiarizing yourself with the Academic Integrity Policy and the possible penalties (including suspension and expulsion) for violating the policy. As per the policy, all suspected violations will be reported to the Office of Student Conduct. Academic dishonesty includes (but is not limited to):

If in doubt, please contact the Professor. Also review the Academic Integrity Policy and Academic Integrity Resources for Students.

Use of external website resources (such as Chegg.com or others) to obtain solutions to homework assignments or exams is cheating and a violation of the University Academic Integrity policy. Cheating in the course may result in grade penalties, disciplinary sanctions or educational sanctions. Posting homework assignments or exams to external sites without the instructor's permission may be a violation of copyright and may constitute the facilitation of dishonesty, which may result in the same penalties as cheating.

The Rutgers honor pledge will be included on all major assignments for you to sign: “On my honor, I have neither received nor given any unauthorized assistance on this examination/assignment.”

Almost all original work is the intellectual property of its authors. This includes not just books and articles, but the syllabi, lectures, slides, recordings, course materials, presentations, homework problems, exams, and other materials used in this course, in either printed or electronic form. You may not copy this work, post it online, or disseminate it in any way without the explicit permission of the instructor. Respect for an author’s efforts and intellectual property rights is an important value that members of the university community are expected to take seriously.

Student Wellness Services

The university provides a number of resources to support your physical and mental well-being. Several valuable resources and listed here and you are encouraged to contact the Professor for more guidance about university resources.

Report a Bias Incident If you experience or witness an act of bias or hate, report it to someone in authority. You may file a report online and you will be contacted within 24 hours. The bias reporting page is here.

Bias is defined by the University as an act, verbal, written, physical, psychological, that threatens, or harms a person or group on the basis of race, religion, color, sex, age, sexual orientation, gender identity or expression, national origin, ancestry, disability, marital status, civil union status, domestic partnership status, atypical heredity or cellular blood trait, military service or veteran status.

Click here to report a bias incident

Counseling, ADAP & Psychiatric Services (CAPS)

(848) 932-7884, 17 Senior Street, New Brunswick, NJ 08901 http://health.rutgers.edu/medical-counseling-services/counseling/

CAPS is a University mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professionals within Rutgers Health services to support students’ efforts to succeed at Rutgers University. CAPS offers a variety of services that include: individual therapy, group therapy and workshops, crisis intervention, referral to specialists in the community, and consultation and collaboration with campus partners.

Crisis Intervention: http://health.rutgers.edu/medical-counseling-services/counseling/crisis-intervention/

Report a Concern: http://health.rutgers.edu/do-something-to-help/

Violence Prevention & Victim Assistance (VPVA)

(848) 932-1181, 3 Bartlett Street, New Brunswick, NJ 08901,  http://www.vpva.rutgers.edu/

The Office for Violence Prevention and Victim Assistance provides confidential crisis intervention, counseling, and advocacy for victims of sexual and relationship violence and stalking to students, staff, and faculty. To reach staff during office hours when the university is open or to reach an advocate after hours, call 848-932-1181.

Disability Services

(848) 445-6800, Lucy Stone Hall, Suite A145, Livingston, 54 Joyce Kilmer Avenue, Piscataway, NJ 08854, https://ods.rutgers.edu/

Rutgers University welcomes students with disabilities into all of the University's educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: https://ods.rutgers.edu/students/documentation-guidelines. If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please complete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/getting-registered.