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What Every Dog Should Know
  About Quantum Physics
                         
               xp 
                        2        I like
                                 cheese




          Chad Orzel
 http://scienceblogs.com/principles/
Schrödinger’s Dog
Quantum Physics




                  ~20 Nobel Prizes
                  For quantum pioneers
Quantum Problems
What’s the Deal with Quantum Physics?
Four essential elements:

       I) Wavefunctions
             Everything in the universe is described by a wavefunction
       II) Allowed States
              Quantum objects are only found in specific states

       III) Probability
              You can only predict the probability of a given state

       IV) Measurement
             An object’s state is indeterminate until you measure it
Wavefunctions
I) Wavefunctions
     Everything in the universe is
     described by a wavefunction

Mathematical function,
  describes properties of object

Put in position and time
         Get out what’s going on

Has both particle and wave properties
           Detect at specific position  like particle
           Function extends over space  like wave
Allowed States
II) Allowed States
       Quantum objects are only
       found in specific states

“State”  collection of properties
       position, velocity, energy,
       momentum, etc.

Only certain special states are allowed
        NEVER find object with other properties

Property that gives quantum physics its name
            “quantum” = “how much” in Latin
Atomic Spectra
Bohr Model




    Niels Bohr, 1913
Explains light emitted by atoms
        Strange idea, but effective
        Gets hydrogen almost perfectly
           Other elements don’t work as well, but better than
           any other method
Bohr Orbits and Waves
Wave behavior explains Bohr states

   Allowed orbits are a whole
      number of wavelengths
      in circumference

  Electron wavefunction ends
     in the same place it starts

  Need wave nature to get allowed states




(Complete theory doesn’t have orbits, but this gets the basic idea)
Probability
III) Probability
       You can only predict the
       probability of a given state

Wavefunction gives probability
  of each of the allowed states

Can’t say definitely where a
  quantum object will be located

      Outcome of a single experiment is completely random
Probability is a Problem

              “The theory delivers a lot,
              but hardly brings us closer
              to the secret of the Old
              One. I for one am
              convinced that He does
              not throw dice.”

                 -- Albert Einstein,
                 letter to Max Born,1926
“Physicists are silly…”




      Can never know exactly where thrown
       object will land, only probability
Measurement
IV) Measurement
     An object’s state is
     indeterminate until you
     measure it

Wavefunction tells you probability

   Until you measure it, the object is
     in ALL possible states,
     AT THE SAME TIME
Schrödinger’s Cat




(from http://commons.wikimedia.org/wiki/File:Schrodinger_cat_everret.png )
Schrödinger’s Cat
Cat is both alive and dead
  AT THE SAME TIME


Invented by Erwin
   Schrödinger to show
   philosophical problem
   with quantum physics


 Situation seems completely ridiculous

            BUT IT’S TRUE
Tennis Experiment
Tennis Experiment




 Find probability distribution with two stripes, one each slit
Electron Experiment
Send electrons at two slits in a barrier:




              Image and video from Hitachi:
              http://www.hitachi.com/rd/research/em/doubleslit.html
What’s Going On?

Phenomenon called “Interference”

  Waves from two different sources
    add to give bright and dark spots




Peak + Peak = Bigger Peak          Peak + Valley = Nothing


             =                                   =
Double Slit
Pattern depends on distance from slits




Get alternating pattern of “bright” and “dark” stripes
Double Slit with Electrons
Electrons behave like waves

  Probability shows the
     effects of interference

BUT: electrons detected
  as particles

  One at a time, at single
    spots on screen


 Each electron must pass through BOTH slits at SAME TIME
Double Slit with Electrons
“[A] phenomenon which is
impossible, absolutely
impossible, to explain in any
classical way, and which has
in it the heart of quantum
mechanics. In reality, it
contains the only mystery.”

        -- Richard Feynman
More Interference
Double-slit only scratches the
  surface of quantum weirdness

   Interference of molecules
      (C60, at right)
   “Quantum Eraser”
   Quantum Zeno Effect
   Entanglement and Teleportation
     “Spooky action at a distance”
       etc, etc,…

Huge variety of weird stuff involving quantum physics
What Every Dog Should Know
                About Quantum Physics
Four essential elements, shown in double-slit experiment:
       I) Wavefunctions
             Electrons (particles) show interference (waves)
       II) Allowed States
              Each slit defines a state

       III) Probability
              Where each electron lands is random

       IV) Measurement
             Each electron goes through BOTH slits at once
Quantum Books (History)
Quantum Books (Theory)
Quantum Books (Textbooks)
The End

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What Every Dog Should Know About Quantum Physics

  • 1. What Every Dog Should Know About Quantum Physics  xp  2 I like cheese Chad Orzel http://scienceblogs.com/principles/
  • 3. Quantum Physics ~20 Nobel Prizes For quantum pioneers
  • 5. What’s the Deal with Quantum Physics? Four essential elements: I) Wavefunctions Everything in the universe is described by a wavefunction II) Allowed States Quantum objects are only found in specific states III) Probability You can only predict the probability of a given state IV) Measurement An object’s state is indeterminate until you measure it
  • 6. Wavefunctions I) Wavefunctions Everything in the universe is described by a wavefunction Mathematical function, describes properties of object Put in position and time  Get out what’s going on Has both particle and wave properties Detect at specific position  like particle Function extends over space  like wave
  • 7. Allowed States II) Allowed States Quantum objects are only found in specific states “State”  collection of properties position, velocity, energy, momentum, etc. Only certain special states are allowed  NEVER find object with other properties Property that gives quantum physics its name “quantum” = “how much” in Latin
  • 9. Bohr Model Niels Bohr, 1913 Explains light emitted by atoms Strange idea, but effective Gets hydrogen almost perfectly Other elements don’t work as well, but better than any other method
  • 10. Bohr Orbits and Waves Wave behavior explains Bohr states Allowed orbits are a whole number of wavelengths in circumference Electron wavefunction ends in the same place it starts Need wave nature to get allowed states (Complete theory doesn’t have orbits, but this gets the basic idea)
  • 11. Probability III) Probability You can only predict the probability of a given state Wavefunction gives probability of each of the allowed states Can’t say definitely where a quantum object will be located  Outcome of a single experiment is completely random
  • 12. Probability is a Problem “The theory delivers a lot, but hardly brings us closer to the secret of the Old One. I for one am convinced that He does not throw dice.” -- Albert Einstein, letter to Max Born,1926
  • 13. “Physicists are silly…” Can never know exactly where thrown object will land, only probability
  • 14. Measurement IV) Measurement An object’s state is indeterminate until you measure it Wavefunction tells you probability Until you measure it, the object is in ALL possible states, AT THE SAME TIME
  • 16. Schrödinger’s Cat Cat is both alive and dead AT THE SAME TIME Invented by Erwin Schrödinger to show philosophical problem with quantum physics Situation seems completely ridiculous  BUT IT’S TRUE
  • 18. Tennis Experiment  Find probability distribution with two stripes, one each slit
  • 19. Electron Experiment Send electrons at two slits in a barrier: Image and video from Hitachi: http://www.hitachi.com/rd/research/em/doubleslit.html
  • 20. What’s Going On? Phenomenon called “Interference” Waves from two different sources add to give bright and dark spots Peak + Peak = Bigger Peak Peak + Valley = Nothing = =
  • 21. Double Slit Pattern depends on distance from slits Get alternating pattern of “bright” and “dark” stripes
  • 22. Double Slit with Electrons Electrons behave like waves Probability shows the effects of interference BUT: electrons detected as particles One at a time, at single spots on screen  Each electron must pass through BOTH slits at SAME TIME
  • 23. Double Slit with Electrons “[A] phenomenon which is impossible, absolutely impossible, to explain in any classical way, and which has in it the heart of quantum mechanics. In reality, it contains the only mystery.” -- Richard Feynman
  • 24. More Interference Double-slit only scratches the surface of quantum weirdness Interference of molecules (C60, at right) “Quantum Eraser” Quantum Zeno Effect Entanglement and Teleportation “Spooky action at a distance” etc, etc,… Huge variety of weird stuff involving quantum physics
  • 25. What Every Dog Should Know About Quantum Physics Four essential elements, shown in double-slit experiment: I) Wavefunctions Electrons (particles) show interference (waves) II) Allowed States Each slit defines a state III) Probability Where each electron lands is random IV) Measurement Each electron goes through BOTH slits at once