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Phys 321: Quantum Theory I - Fall 2007, Assignments of Physics

Information about a university course named 'phys 321: quantum theory i' offered in the fall 2007 semester at mesa state college. The course is taught by professor david collins and covers the fundamental principles of quantum mechanics. The course syllabus, required text, office hours, and contact information. Students are expected to have completed phys 232 as a prerequisite.

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Phys 321
Fall 2007
QUANTUM THEORY I
Phys 321 Fall 2007
Instructor: Professor David Collins
Office: Wubben 184
Phone: 248-1787
email: dacollin@mesastate.edu
Office Hours: TBA
Class Meetings: MWF 9:00-9:50am, Wubben 276
Course Website: http://www.mesastate.edu/dacollin/teaching/2007Fall/Phys321
/index.html
Required Text: J. S. Townsend, A Modern Approach to Quantum Mechanics, Uni-
versity Science Books (2000).
Prerequisites: PHYS 232
Overview
Quantum mechanics is a foundation of modern physics, providing a general scheme for
understanding a vast range of physical phenomena. Every physicist needs to be familiar
with the main ideas and results of quantum mechanics and many use it routinely. This
course aims to give you a solid understanding of the framework and applications of quantum
mechanics.
Quantum mechanics is tremendously important in our modern lifestyle; it explains the
operations of semiconductors, lasers, magnetic resonance and other technologies that were
inconceivable before the development of the subject. It has also profoundly changed our
view of the physical world. Nearly 80 years after quantum mechanics was formalized, ex-
perts are still discover apparent paradoxes within the theory and dispute their implications.
In Phys 321, the general rules of quantum mechanics will be described using the state
representation framework rather than the more limited wavefunction approach. This will
be illustrated with two-state quantum systems, which have no classical counterparts but
capture the essential ideas of the subject without the distracting mathematical complica-
tions associated with single particles with a position degree of freedom. The general rules
will then be applied to systems with a position degree of freedom.
The course syllabus, subject to modification, is:
1. Spin half systems and Stern-Gerlach type experiments.
2. State representation, measurements and time evolution for spin half and analogous
systems.
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Phys 321 Fall 2007

QUANTUM THEORY I

Phys 321 Fall 2007

Instructor: Professor David Collins

Office: Wubben 184

Phone: 248-

email: dacollin@mesastate.edu

Office Hours: TBA

Class Meetings: MWF 9:00-9:50am, Wubben 276

Course Website: http://www.mesastate.edu/∼dacollin/teaching/2007Fall/Phys

/index.html

Required Text: J. S. Townsend, A Modern Approach to Quantum Mechanics, Uni- versity Science Books (2000).

Prerequisites: PHYS 232

Overview

Quantum mechanics is a foundation of modern physics, providing a general scheme for understanding a vast range of physical phenomena. Every physicist needs to be familiar with the main ideas and results of quantum mechanics and many use it routinely. This course aims to give you a solid understanding of the framework and applications of quantum mechanics. Quantum mechanics is tremendously important in our modern lifestyle; it explains the operations of semiconductors, lasers, magnetic resonance and other technologies that were inconceivable before the development of the subject. It has also profoundly changed our view of the physical world. Nearly 80 years after quantum mechanics was formalized, ex- perts are still discover apparent paradoxes within the theory and dispute their implications. In Phys 321, the general rules of quantum mechanics will be described using the state representation framework rather than the more limited wavefunction approach. This will be illustrated with two-state quantum systems, which have no classical counterparts but capture the essential ideas of the subject without the distracting mathematical complica- tions associated with single particles with a position degree of freedom. The general rules will then be applied to systems with a position degree of freedom. The course syllabus, subject to modification, is:

  1. Spin half systems and Stern-Gerlach type experiments.
  2. State representation, measurements and time evolution for spin half and analogous systems.
  1. General framework of quantum mechanics.
  2. Particles in one dimension: wave mechanics.
  3. One dimensional harmonic oscillator.
  4. Rotations and angular momentum.
  5. Particles in central potentials, hydrogen atom.
  6. Time-independent perturbation theory.
  7. Quantum foundations and information.

Assignments

  1. Homework: Homework assignments will be due each week by 5pm on Mondays. It is in your best interests to work by yourself on the homework problems but collaboration is acceptable. You can discuss the broad outlines of problem solutions with your colleagues but must write your final solutions independently. You are also encouraged to consult me for help with homework problems.

Exams and Quizzes

  1. Class Exams: There will be two exams during class meetings:

Exam 1 Monday 1 October Exam 2 Monday 12 November

Exams will be closed book and closed notes although a formula sheet will be provided and calculators will be allowed.

  1. Final Exam: There will be a final exam at 8:00am on Wednesday 12 December. The final will last one hour and 50 minutes and be comprehensive and closed book although a formula sheet will be allowed. Calculators will be allowed.

Grades

Individual assignments and exams will be graded using suitable scales. In general, to get full credit (100%) for a problem your solution must be correct and well justified. Partial credit will be given for incomplete or partly correct solutions. No credit (0%) will be given for problems not attempted, assignments not turned in or quizzes and exams missed without good reason. The numerical grades for each component will be totaled and a final numerical grade will be computed according to the following distribution.

Homework 40% Midterm Exams 30% Final Exam 30%