{{page>wiki:headers:hheader}} ==== Unit: Stern-Gerlach Experiments ==== === Historic Stern-Gerlach Experiment (70 minutes) === * [[..:prereq:sppre:spprehistoricSG|Prerequisite Ideas]] * [[..:lecture:splec:splecintro|Introduction to the course]] (Lecture, 15 minutes) * [[..:activities:spact:spspinpostulates|Quantum Postulates]] (Small Whiteboard Activity, 5 minutes) * [[..:lecture:splec:splechistoricSG|Discussion of Historic Stern-Gerlach Experiment]] (Lecture, 30 minutes) * [[..:activities:spact:spsgexperiment|Components of the SG Experiment]] (Small Whiteboard Activity, 5 minutes) * [[..:lecture:splec:splecintrinsicspin|Discussion of Intrinsic Spin]] (Lecture, 15 minutes) * [[..:hw:sphw:sphwhistoricSG|Homework]] * [[..:sup:spins:suphistoricSG|Supplemental Materials]] === Probability and Statistics (30 minutes) === * [[..:prereq:sppre:spprestats|Prerequisite Ideas]] * [[..:lecture:splec:splecstats|Introduction to statistics]] (Lecture, 10 minutes) * [[..:activities:spact:spdice|Dice]] (Small Group Activity, 20 minutes) * [[..:hw:sphw:sphwstats|Homework]] === Using Stern-Gerlach Observations to Build Quantum State Formalism (245 minutes) === * [[..:prereq:sppre:sppreSGobservations|Prerequisite Ideas]] * [[..:lecture:splec:splecsgsoftware|Introduction to Stern Gerlach simulation]] (Lecture, 10 minutes) * [[..:activities:spact:spspin1|SPINS Lab 1]] (Small Group Activity, 60 minutes) * [[..:lecture:splec:splecsuccessiveSG|Outcome from Successive Stern-Gerlach Devices]] (Lecture, 40 minutes) * [[swbq:qmsw:spswspinguess|Guessing forms for spin along x in terms of z]] (Small Whiteboard Activity, 5 minutes) * [[..:activities:spact:spstateformalism|State Formalism]] (Small Group Activity, 15 minutes) * [[..:lecture:splec:splecstateformalism|Building Quantum State Formalism]] (Lecture, 40 minutes) * [[..:activities:spact:spcrossedpolarizer|Calculating 'crossed polarizers' effect]] (Small Group Activity, 15 minutes) * [[..:activities:spact:spspin2|SPINS Lab 2]] (Small Group Activity, 60 minutes) * [[..:hw:sphw:sphwSGobservations|Homework]] === Generalized Spin Systems (20 minutes) === * [[..:prereq:sppre:sppregeneralizedspin|Prerequisite Ideas]] * [[..:lecture:splec:splecgeneralizedspin|Spin N systems]] (Lecture, 20 minutes) * [[..:hw:sphw:sphwgeneralizedspin|Homework]] ==== Unit: Operators and Measurement ==== === Operators, Eigenvalues, and Eigenvectors === * [[..:prereq:sppre:sppreoperators|Prerequisite Ideas]] * [[..:lecture:splec:splecoperators|Operators]] (Lecture, 10 minutes) * [[..:activities:spact:spspinoperators|Matrix Representation of Spin Operators]] (Small Group Activity, 45 minutes) * [[..:lecture:splec:splecspinprojection|Spin projections in a general direction]] (Lecture, 10 minutes) * [[..:activities:spact:spprojectionoperators|Projection Operators]] (Small Group Activity, XX minutes) * Here is a resource for the labs and the operator activity - a pdf file of a talk regarding these specific sequences: {{..:spins:nwaps_oct2010.pdf|}} * [[..:hw:sphw:sphwoperators|Homework]] === Expectation Value, Standard Deviation, Commutation, and Uncertainty === * [[..:prereq:sppre:sppreexpectationvalue|Prerequisite Ideas]] * [[..:lecture:splec:splecexpectationvalue|Expectation Value and Standard Deviation]] (Lecture, 20 minutes) * [[..:lecture:splec:spleccommutation|Commutation and Uncertainty]] (Lecture, 20 minutes) * [[..:sup:spins:supmeasurement|Supplemental Materials]] * [[..:hw:sphw:sphwexpectationvalue|Homework]] === Spin-1 Systems === * [[.:prereq:prereqsspin1|Prerequisite Ideas]] * [[..:lecture:splec:splecspin1|Spin 1 systems]] (Lecture, 10 minutes) * [[..:activities:spact:spspin3|SPINS Lab 3]] (Small Group Activity, 100 minutes) * [[.:hw:hwspin1|Homework]] === The $S$ and $S^2$ Vectors (XX minutes) === * [[..:prereq:sppre:spprespinvectors|Prerequisite Ideas]] * [[..:lecture:splec:splecspinvectors|The $S$ and $S^2$ Vectors]] (Lecture, 20 minutes) * [[..:hw:sphw:sphwspinvectors|Homework]] ==== Unit: Schrödinger Time Evolution ==== === Schrodinger equation, energy eigenvalues and eigenstates === * [[..:prereq:sppre:sppreschrodinger|Prerequisite Ideas]] * [[..:lecture:splec:splecschrodinger|Schrodinger equation]] (Lecture, 60 minutes) * [[..:activities:spact:sptimeevolution|Time Evolution Introduction]] (Small Group Activity, 20 minutes) * [[..:activities:spact:sptimedepcomplex|Visualizing Complex Time Dependence for Spin 1/2 Systems]] (Kinesthetic Activity, XX minutes) * [[..:lecture:splec:spleceigenstate|Energy eigenvalues and eigenstates]] (Lecture, 60 minutes) * [[..:activities:spact:spqmevolution|Quantum Time Evolution]] (Small Group Activity, 20 minutes) * [[..:hw:sphw:sphwschrodinger|Homework]] === Spin Precession === * [[..:prereq:sppre:sppreprecession|Prerequisite Ideas]] * [[..:lecture:splec:splecprecession|Spin Precession]] (Lecture, 80 minutes) * [[..:activities:spact:spspinvector|Time-dependent spin vector]] (Small Group Activity, 40 minutes) * [[..:activities:spact:spspin4|SPINS Lab 4]] (Small Group Activity, 100 minutes) * [[..:sup:spins:suptimeevolution|Supplemental Materials]] * [[..:hw:sphw:sphwprecession|Homework]] === Neutrino Oscillation === //Optional topic - can be skipped// * [[..:prereq:sppre:sppreoscillation|Prerequisite Ideas]] * [[..:lecture:splec:splecoscillation|Neutrino Oscillation]] (Lecture, 30 minutes) * [[..:activities:spact:spneutrinos|Neutrino Oscillations]] (Small Group Activity, 20 minutes) * [[..:hw:sphw:sphwoscillation|Homework]] === Magnetic Resonance === //Optional topic - can be skipped// * [[..:prereq:sppre:sppreresonance|Prerequisite Ideas]] * Here are slides that can be used for this topic (Lecture, 40 minutes): {{..:spins:nmr.pdf|}} * Appropriate homework problems can be chosen from the end of Chapter 3, none explicitly address this topic ==== Unit: Quantum Spookiness ==== //Optional topics - can be skipped// (What we have done from 2008-2010 is have a guest lecturer speak on one of the following topics) === Quantum Clocks === * [[..:prereq:sppre:sppreclocks|Prerequisite Ideas]] * Here is a scan of the lecture notes from the invited guest lecturer (Lecture, 60 minutes): {{..:spins:425_guest_lecture.pdf|}} * There have not been homework problems designed for this guest lecture === EPR Paradox === * [[..:prereq:sppre:sppreEPR|Prerequisite Ideas]] * Here are slides addressing this topic (Lecture, 60 minutes): {{..:spins:bells_inequality.pdf|}} * Additional reading of interest: a paper giving an Sherlock Holmes-type analogy to Bell's theorem {{..:spins:bells_theorem.pdf|}} * Appropriate homework problems are at the end of Chapter 4 === Schrodinger Cat Paradox === * [[..:prereq:sppre:spprecat|Prerequisite Ideas]] * There are no current lecture notes for this topic, addressed in chapter 4 (Lecture, 60 minutes) * Here are slides for the related topic of Quantum Cryptography: {{..:spins:quantum_cryptography.pdf|}} * Appropriate homework problems are at the end of Chapter 4