MidTerm #2 Topics
(incomplete but based on notes, HW, etc)

these topics will span most everything on the exam, but you will be repsonsible for materials earlier in the course that we are using in this section, and will be responsible for those topics covered in the HW and the lecture notes in particular.
A good strategy is to Review the Concept Tests from Lecture, and the HW questions and solutions (esp. on interpretation / readings)

• Be able to describe how a Stern Gerlach (SG) analyzer works, and use these including:
  • Calculate probabilities for various outgoing states of atoms as they go through an SG having entered in with various incoming states
  • Know and use the mathematical relations for calculating probilities for + / - channel exits given incoming orientation of atomic spins
• Probabilites:
  • interpret probability density from graph or mathematical equesiton and be able to calculate probabilty based on probability density
  • be able to calculate probabilities for discrete and continuous functions
• Make graphs of wave functions based on mathematical equations
• Estimate relative probability of measurements based on probabilty density and / or wave functions
• Understand relations between wavenumber (k) and wavelenth (lamda)
• Relate k and or lamda to energy of a wave.
• Describe how double slit experiment works with:
  • light
  • quantum matter (electrons etc)
  • large scale stuff (like pebbles)
  • calculate H, or theta, for various lamda and D for double slit interference patterns
• Know how to calculate wavelengths for light (photons) and matter waves (electrons, protons, etc)
• Be able to state, interpret and apply the Uncertainty Principle with respect to position and momentum.
• Describe qualitatively how individual plane wave (single wavelength) add up to make a wave-packet, and the effect of adding fewer or more wavelengths together to get this packet.
• Describe why uncertainty principle is not used in classical (large scale) systems
• Be able to define what "local", "realism", "completeness" mean...
• State how Bohr (Copenhagen interpretation) differed from this local reality (Eistein's) interpretation
• State at least two experiements that show non-locality
• Be able to articulate your own perspective on the major experiments (double slit, EPR, single photon) we have discussed
• Know when to use a particle model and when to use a wave model
• Be able to descibe experiments that would demonstrate a particle and those that that would demonstrate a wave model.
• Describe how complementarity applies to: position-momentum, wave-particle, which path- interference etc...
• State and apply Heisenberg's Uncertainty principle and how it might apply to wave-packets.
• Know what PSI(x,t) represents, and :
  
  • how it relates to probability of measuringposition
  • How and when does PSI(x,t) depend on time? (relate to psi(x) for V(x) only)
  • Describe wave functions associated with energy eigenstates of infinite square well, finite square
  • Draw the potential for a finite width wire.
  • State the various energy levels and associated wave functions
  • Identify where an electron is likely to be found for a given quantized energy level (n=1,2,3,)
• Read electron energy levels and potential energy levels to interpret tunneling on energy plots, and relatively likelihood of tunneling.