Zusammenfassung der Ressource
Quantum physics
- Amplitudes
Anmerkungen:
- Follows from max possible knowledge of system
- Complex #'s
- Born Rule
Anmerkungen:
- Born Rule:
Probability of event = |psi|^2
- IFM
Anmerkungen:
- IFM: Interaction Free Measurement
Answer to HW1 problemhttp://logicaltightrope.com/2013/08/13/seeing-without-looking-the-quantum-bomb/
- Uncertainty
Anmerkungen:
- Universe in very real sense, unknowable
- Heisenberg
Anmerkungen:
- 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.
- Planck's
length
(h)
- Feynman quote
Anmerkungen:
- "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.
- Wave Particle duality
- Waves
- Wave eqation
- Schroedinger Equations
- Operators
Anmerkungen:
- A mapping between vectors; A vector function
- hermitian
Anmerkungen:
- Hilbert Space
Anmerkungen:
- Complex-valued linear vector space; Complete space w/ an inner product
- Inner Product: generalized dot product (?)
- Particles
Anmerkungen:
- Individual particles unpredictable; lots of them follow statistical/ probabilistic laws
- Feynman quote
Anmerkungen:
- exhibits different behavior at different frequencies