13: Miscellaneous Quantum Mechanics Topics
- Page ID
- 3950
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- 13.1: Bell's Theorem
- A derivation of the theorem and a discussion of the consequences. A somewhat subtle topic, but here it is treated in a non-technical fashion. It assumes knowledge of wave-particle duality such as can be found in the Double Slit or the Wave-Particle Duality documents; also assumed is considerable knowledge of the Stern-Gerlach Experiment.
- 13.2: Black Hole Thermodynamics
- Course notes from a one-hour class on black hole thermodynamics for upper-year liberal arts students.
- 13.3: Complementarity and Copenhagen Interpretation
- A discussion of Bohr's Principle of Complementary and its extension to the Copenhagen Interpretation of Quantum Mechanics. Based on a discussion for an upper-year liberal arts course in modern physics without mathematics.
- 13.4: Double Slit
- A discussion of the "Feynman double slit," which forms the basis of many discussions of Quantum Mechanics. The topic is quite subtle, but the document is equally accessible to students at all levels.
- 13.6: Locality and Quantum Mechanics
- A brief introduction to the conflict between local cause and effect and Quantum Mechanics. Based on a discussion in an upper year liberal arts course in physics without mathematics.
- 13.8: Quantum Entanglement
- A handout that accompanied a talk on Entanglement to the Canadian Association of Natural Philosophers, a group of amateurs interested in science.
- 13.9: Quantum Interference
- A brief summary of quantum interference and the uncertainty principle, from a first year physics course that uses minimal mathematics
- 13.10: Quantum Mechanics- a Poor Person's Guide
- An overview of quantum mechanics, from a first year physics course that uses minimal mathematics
- 13.11: Quantum Mechanics- Interpretation
- An overview of quantum mechanics, from a first year physics course that uses minimal mathematics
- 13.12: Quantum Teleportation
- A discussion of Quantum Teleportation, Information, and Cryptography. Based on a presentation to an upper-year course in modern physics without mathematics.
- 13.13: Schrödinger's Cat
- A very brief introduction, originally designed for upper-year liberal arts students.
- 13.14: Stern-Gerlach Experiment
- This page summarizes the classic Stern-Gerlach experiment on "spin" and extends the treatment to a discussion of correlation experiments. As is often the case, I build up maximum complexity as I examine the experimental details, and then hide them in a 'box'. This time the box will turn out to be literal. Here we concentrate on electrons, which have only two spin-states. We also mention photons, which also have two spin-states.
- 13.15: The Bohr Model of the Atom
- A very brief introduction, originally designed for upper-year liberal arts students.
- 13.16: The Development of Quantum Mechanics
- A brief survey of the development of Quantum Mechanics in the 1920's by Schrödinger and Heisenberg. Some of the material is non-traditional. Based on a discussion in an upper year liberal arts course in physics without mathematics.
- 13.17: Two analogies to Bell's Theorem
- Two analogies to Bell's Theorem. They are both somwhat simpler than the previous document on Bell's Theorem on this list.
- 13.18: Wave-Particle Duality
- A brief summary of wave-particle duality, from a first year physics course that uses minimal mathematics