PHYSICS 3143 - Quantum Mechanics I
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Instructor: James Gole
EMail: james.gole [at] physics.gatech.edu
Office: N106/School of Physics
Office Hours: N106, by appointment - see me before or after class or
call (404)894-4029 or (404)894-4011
Phone: (404) 894-4029
Time &Place: Lecture Room 5, Tu, Th 09:35 A.M - 10:55 A.M. |
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Text: |
Introduction to Quantum Mechanics
by David J. Griffiths
2nd Edition
Suggested texts will be put on reserve in the library.
* Integrals (PDF)A Review of
Math Skills: click here |
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Prerequisites: |
Physics 2211 or 2231, 2212, 2213 or 2232, 3201
Math 2403 or 2413
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Grading: |
| Three Hour Exams During Quarter |
300 |
| Final Examination |
200 |
Homework will be requested and graded.
Performance on the homework will determine borderline cases.
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Semester Exams: |
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- September 21
- October 26 - through harmonic oscilator
- November 28
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Final Exam: Period 10, December
14th, 8:00-10:50 |
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Early Quantum Physics: |
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- Brief history and Planck's hypothesis.
- The spectrum of the hydrogen atom, the Bohr model, and x-rays.
- The photoelectric effect and the Franck-Hertz experiment.
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The Logical Structure and Mathematical Structure of Quantum Physics:
Two Simple Systems |
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- A theory of polarized photons
(handout)
- A theory of the Stern-Gerlach experiment for spin-1/2 particles.
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Quantum Physics and Wave Mechanics: |
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- The wave-particle duality of light and the Compton effect.
- The de Broglie hypothesis of matter waves.
- The experiment of Davisson and Germer and the diffraction of
matter.
- Heisenberg's uncertainty principle.
- Schrödinger's matter waves
and Born's probability interpretation: amplitude or wave mechanics.
- Particle in an infinite square-well potential (Part I).
- Interpretation of the wave (handout-Wave
Mechanics).
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Wave Mechanics of One-Dimensional Systems: |
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- The Schrödinger equation:
time-dependent and time-independent.
- Free particles.
- Particle in an infinite square-well potential. (Part II)
- Scattering from a step potential. (handout)
- Scattering from a square-well potential and a square-barrier
potential. (handout)
- Tunneling through a square-barrier potential. (handout)
- Particle in a square-well potential (handout)
- Particle in an harmonic oscillator potential. (handout)
- The momentum representation of the harmonic oscillator.
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The Logical Structure and Mathematical Structure of Wave Mechanics: |
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- Position and momentum as dynamical variables
- Dynamical variables, operators, eigenvalue equations, the Schrödinger
equation, boundary values
- The position and momentum representations.
- The superposition principle.
- Fourier analysis.
- The Fourier integral transform.
- Special functions.
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The Axiomatic Foundations of Quantum Mechanics Dirac's
Solution of the One-Dimensional Harmonic Oscillator
Angular Momentum in Quantum Mechanics
Central Force Problem in Quantum Mechanics
The Hydrogen Atom |
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