DEPARTMENT OF PHYSICS
Quantum Mechanics for Engineers
required for Physics majors in the Applied Physics Option Undergraduate
Basic experiments, wave-particle duality, uncertainty; Wave functions and Schroedinger equation; 1-d problems (a) bound states: square well, harmonic oscillator, Kronig-Penny model (b) scattering from barriers, tunneling; QM formalism: Dirac notation, operators and eigenvalues, angular momentum;' Hydrogen atom; Perturbation theory (a) time independent - first order nondegenerate, level splitting (b) time dependent - Golden rule; Identical particles, spin and statistics; Quantum communication, Bell's theorem
3 HR./WK.; 3 CR.
Prereq: Physics 20700 and 20800, Math 39100 and Math 39200
Textbook and other suggested material:
Scherrer, Quantum Mechanics (2006) (ISBN: 0-8053-8716-1), Pearson/Addison-Wesley
After successfully completing this course, students should be able to
1. Understand the nature of quantum mechanical states.
2. Solve 1-d barrier problems
3. Use the creation/annihilation operator formalism.
4. Understand the spectrum of hydrogenic atoms
5. Understand the distinction between boson and fermions.
6. Do simple perturbation calculations
7. Appreciate the significance of Bell’s theorem.
1. Historical basis of quantum mechanics
2. Wave functions, observables and operators
3. One-dimensional barrier and tunneling problems
4. QM principles in Dirac notation
5. Harmonic oscillator.
5. Angular momentum and the hydrogen atom.
6. Perturbation theory.
7. Identical particles – spin & statistics
8. Bell’s theorem, QM communication
3 HR./WK.; 3 CR.
Relationship of course to program outcomes:
The outcomes of this course contribute to the following departmental learning outcomes:
a. students will be able to synthesize and apply their knowledge of physics and mathematics to solve physics-related problems in a broad range of fields in classical and modern physics, including mechanics, electricity and magnetism, thermodynamics and statistical physics, optics, quantum mechanics, and experimental physics.
c. students will be able to communicate their knowledge effectively and in a professional manner, in both oral and written forms.
h. students will have the background in physics needed to perform well in advanced courses in their own disciplines for which introductory physics courses are a prerequisite.
2. Homework assignments
3. Results of quizzes
4. Lab reports (if applicable)
5. Class participation
6. Results of Final Exam
Person who prepared this description and date of preparation:
email address: email@example.com
date: June 25, 2007
Academic Integrity and Plagiarism
The CUNY Policy on Academic Integrity can be found at
This policy defines cheating as “the unauthorized use or attempted use of material, information, notes, study aids, devices or communication during an academic exercise.” The CUNY Policy on plagiarism says the following about plagiarism (the CUNY Policy can be found in Appendix B.3 of the CCNY Undergraduate Bulletin 2007 -2009 as well as the web site listed above):
Plagiarism is the act of presenting another person’s ideas, research or writings as your own. The following are some examples of plagiarism, but by no means is it an exhaustive list:
1. Copying another person’s actual words without the use of quotation marks and footnotes attributing the words to their source.
2. Presenting another person’s ideas or theories in your own words without acknowledging the source.
3. Using information that is not common knowledge without acknowledging the source.
4. Failing to acknowledge collaborators on homework and laboratory assignments.
5. Internet plagiarism includes submitting downloaded term papers or parts of term papers, paraphrasing or copying information from the internet without citing the source, and “cutting and pasting” from various sources without proper attribution.
The City College Faculty Senate has approved a procedure for addressing violations of academic integrity, which can also be found in Appendix B.3 of the CCNY Undergraduate Bulletin.”
DEPARTMENT OF PHYSICS