Quantum physics

hmccain
Mind Map by hmccain, updated more than 1 year ago
hmccain
Created by hmccain almost 5 years ago
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A map of quantum physics stuff
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Quantum physics
1 Amplitudes

Annotations:

  • Follows from max possible knowledge of system
1.1 Complex #'s
1.2 Born Rule

Annotations:

  • Born Rule: Probability of event = |psi|^2
1.3 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
2.1 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.
2.1.1 Planck's length (h)
2.2 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
3.1 Waves
3.1.1 Wave eqation
3.1.1.1 Schroedinger Equations
3.1.1.1.1 Operators

Annotations:

  • A mapping between vectors; A vector function
3.1.1.1.1.1 hermitian

Annotations:

  • A linear vector operator
3.1.1.1.1.2 Hilbert Space

Annotations:

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

Annotations:

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

Annotations:

  • exhibits different behavior at different frequencies
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