**Lecturer:**Professor Randall J. Scalise**Meeting time and place:**TR 11:00AM-12:20PM in room 60 Fondren Science Building**Office hours:**after lecture and MWF 1:00PM-2:30PM in room 107 Fondren Science Building**Contact:**- Call or leave a message at 768-2504, or
- Leave a note in the Physics Department Office - 102 Fondren Science, or
- send me e-mail: <scalise@smu.edu>

**Exam Dates:**Open book, open notes, open Mathematica, closed internet.- Midterm - Thursday 8 October 2015 in class
- Final - Saturday 12 December 2015, 8:00AM-11:00AM in room 60 Fondren Science Building

**Mathematica tutorial:**PDF 4 pages, 32563 bytes**Grading:**- Homework - 60% (drop lowest)
- Midterm Examination - 20%
- Final Examination - 20%

**Text:***Introduction to Quantum Mechanics*by David J. Griffiths**Lecture notes:**- 25Aug15. See also the description of Max Planck's "trick" in Eisberg and Resnick, sections 1.2-1.4, especially page 16. Hilbert space from Wikipedia and from Wolfram
- 27Aug15.
- 01Sep15. See also Complex numbers, Roots of Unity, Eigenvalues and eigenvectors.
- 03Sep15. See also Gaussian Integrals and Separation of Variables.
- 08Sep15. See also Particle in a box.
- 10Sep15. See also Expectation value and Schrödinger cat states.
- 15Sep15. See also Particle in a two-dimensional box, Sound matrix.
- 17Sep15. See also Hermite polynomials.
- 22Sep15. See also Ladder operators (Raising and lowering operators), Creation and annihilation operators.
- 24Sep15. See also Aleph null.
- 29Sep15. See also
- Georg Cantor's diagonalization proof
- Fourier transform from Wikipedia
- Fourier transform
- sinc(x)=sin(x)/x function - Fourier transform of top-hat function
- Plancherel theorem
- Parseval's theorem
- Dirac delta function from Wikipedia
- Dirac delta function from Wolfram World
- PHYS 4321 slides on the Dirac delta

- 01Oct15. See also Delta potential
- 06Oct15 - Midterm examination preparation
- Quantum Mechanics Conceptual Survey
- Colorado Learning Attitudes about Science Survey DO NOT ENTER YOUR SMU STUDENT ID NUMBER!

- 15Oct15.
- 20Oct15. See also
- 22Oct15. See also Quantum tunnelling
- 27Oct15.
- 29Oct15. See also
- When I was your age, we programmed in BASIC. And we liked it. Not really.
- First-order Euler method for solving differential equations
- Runge-Kutta method
- Numerical solution for the SHO - first-order Euler
- Numerical solution for the square well with a bump - first-order Euler
- Numerical solution for the SHO - Mathematica built-in differential equation solver

- 03Nov15.
- 05Nov15. See also SpectralDecomp Mathematica notebook
- 10Nov15. See also Del in cylindrical and spherical coordinates
- 12Nov15. See also Legendre functions
- 17Nov15. See also Hydrogen wavefunctions
- 19Nov15. See also Angular momentum operator
- 24Nov15. See also Levi-Civita symbol
- 01Dec15. See also L=1 3x3 matrices - Mathematica notebook, PDF version, The SO(4) symmetry of hydrogen, The SO(4) symmetry of the hydrogen atom (slides).
- 03Dec15. See also Complete set of commuting observables(CSCO)

**Homework:**Due dates are strictly enforced. 50% if late; 0% once the solutions are posted. You may work together, but the work that you turn in should be unique. Identical work will receive a grade that is divided among all parties. It is possible to find answers to some homework problems on the internet; do not do this. The point, after all, is not to fool me into thinking that you have learned physics, but rather actually to learn some physics.- homework #1 (PDF format) - due Monday 31 August at 11:59:59PM
- homework #2 (PDF format) - due Monday 7 September at 11:59:59PM
- homework #3 (PDF format) - due Monday 14 September at 11:59:59PM
- homework #4 (PDF format) - due Monday 21 September at 11:59:59PM
- homework #5 (PDF format) - due Monday 28 September at 11:59:59PM
- No homework due on 5 October because of the midterm exam.
- No homework due on 12 October because of Fall Break.
- homework #6 (PDF format) - due Monday 19 October at 11:59:59PM
- homework #7 (PDF format) - due Monday 26 October at 11:59:59PM
- homework #8 (PDF format) - due Monday 2 November at 11:59:59PM
- homework #9 (PDF format) - due Monday 9 November at 11:59:59PM
- homework #10 (PDF format) - due Monday 16 November at 11:59:59PM
- homework #11 (PDF format) - due Monday 23 November at 11:59:59PM
- No homework due on 30 November because of Thanksgiving Break.
- homework #12 (PDF format) - due Monday 7 December at 5:00:00PM

**Homework Solutions****Disability Accommodations, Religious and Excused Absences****Official University Calendar****Other Resources:**- Heisenberg and the early days of quantum mechanics by Felix Bloch
- EPR Paradox
- Is the Moon there when nobody looks? Reality and the quantum theory by N. David Mermin, Physics Today, April 1985, p38.
- Quantum Mysteries Revisted N. David Mermin, Am. J. Phys 58, p731, (1990)
- Does Bell's Inequality rule out local theories of quantum mechanics?
- Quantum 'spookiness' passes toughest test yet
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km

*Quantum Mechanics*by Claude Cohen-Tannoudji, Bernard Diu, and Frank Laloe*Quantum Mechanics: Classical Results, Modern Systems, and Visualized Examples*by Richard W. Robinett*Quantum Mechanics: Concepts and Applications*by Nouredine Zettili- MIT Open Courseware (Physics)
- The Theoretical Minimum - Quantum Mechanics
- Quantum Field Theory: Lecture Log
- Quantum Computing & the Entanglement - John Preskill on YouTube
- Quantum Mechanics III (Physics 125c) by Sean Carroll, Physics Department, Caltech

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