Quantum physics

Description

A map of quantum physics stuff
M. Usman Farooq
Mind Map by M. Usman Farooq, updated more than 1 year ago More Less
hmccain
Created by hmccain over 9 years ago
M. Usman Farooq
Copied by M. Usman Farooq about 7 years ago
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Resource summary

Quantum physics
  1. Amplitudes

    Annotations:

    • Follows from max possible knowledge of system
    1. Complex #'s
      1. Born Rule

        Annotations:

        • Born Rule: Probability of event = |psi|^2
        1. IFM

          Annotations:

          • IFM: Interaction Free Measurement Answer to HW1 problemhttp://logicaltightrope.com/2013/08/13/seeing-without-looking-the-quantum-bomb/
        2. Uncertainty

          Annotations:

          • Universe in very real sense, unknowable
          1. Heisenberg

            Annotations:

            • E= ~hw, p=~hk; ~h = h/2pi dx*dp \> h 
            • Trans: If you pinpoint the position of a specific particle, then you won't be able to precisely measure its momentum.
            • And if you precisely measure a particles momentum, then you cannot know its exact position
            • Also, if we try to measure the momentum of the wave, this uncertainty shows up with how accurately we can measure it - classical mechanics fails at this point.
            1. Planck's length (h)
            2. Feynman quote

              Annotations:

              • "Yes! physics has given up. We do not know how to predict what would happen in a given circumstance, and we believe now that it is impossible - that the only thing that can be predicted is  the probability of different events.
            3. Wave Particle duality
              1. Waves
                1. Wave eqation
                  1. Schroedinger Equations
                    1. Operators

                      Annotations:

                      • A mapping between vectors; A vector function
                      1. hermitian

                        Annotations:

                        • A linear vector operator
                        1. Hilbert Space

                          Annotations:

                          • Complex-valued linear vector space; Complete space w/ an inner product
                          • Inner Product: generalized dot product (?)
                  2. Particles

                    Annotations:

                    • Individual particles unpredictable; lots of them follow statistical/ probabilistic laws
                    1. Feynman quote

                      Annotations:

                      • exhibits different behavior at different frequencies
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